1. 2 numbers with GCF of 18 and LCM of 180
Answers
Since 30 is a common factor, let the two numbers be
x=30p,y=30q, where p,q are integers
For such pair of positive integers, we would have the following results (why?),
xy=180(30)⟹pq=6
Possible factorisation of 6 are (1,6), (2,3), thus we can obtain all possible solutions,
(x,y)=(30⋅1,30⋅6),(30⋅2,30⋅3)
The LCM and HCF of two numbers are 180 and 6 respectively. If one of the numbers is 30, what is the other number?
The LCM of two numbers is 30 and their HCF is 5. One of the numbers is 10. The other is number will be?
What are the numbers whose LCM is 180 and HCF is 6, if one number is 6 more than the other?
The LCM of two numbers is 1245 and their HCF is 30. If one of them is 180, what will the other be?
The LCM of two numbers is 420. If their HCF is 70 and one of the numbers is 105, what is the other number?
The factors of 30 are 2*3*5. Each number must have these factors.
The factors of 180 are 2*2*3*3*5. So we have an extra 2 and three to distribute.
30, 180 is a potential answer. (the ‘extra 2 and 3 together)
60, 90 is another answer (the extra 2 goes to one and the extra 3 goes to another).
We know that HCF * LCM = N1 * N2
30 * 180 = 60 * 90
The numbers are 60 and 90 or 30 and 180. Answer.
How do I find the 2 numbers when their LCM and HCF are given?
LCM and HCF of two numbers are given we have to find the numbers.
Let HCF of two numbers be 6 and LCM be 300.Let numbers be x and y.
x=6a and y=6b,where a and b are relative prime to each others.
6ab=LCM of x and y.
ab=300/6=50.
Now find a and b relative prime to each others and ab=50.
Thus (1,50),(2,25)
Hence numers are
(6,300),(12,150)
The LCM and HCF of two numbers are 180 and 6 respectively. If one of the numbers is 30, what is the other number?
36
Given,
LCM = 180
HCF = 6
1st number = 30
Let 2nd number be x.
LCM × HCF = 1st number × 2nd number
180 × 6 = 30 × x
1080 = 30 × x
x = 1080÷30
x = 36
What is the HCF if the product of two numbers is 324?
The following line is correct
324=18x18 therefore 18=HCF
324=18x18 therefore 18 is the = Highest Common Factor
324
If the HCF of two number is 23 and the LCF is 4186, one of the two numbers is one of the following: a) 276 b) 300 c) 322 b) 345. Which one is it?
Answer is 322.
The product of L.C.M. and H.C.F. of two natural numbers = the product of the numbers.
Example :-- for LCM of 6 and 9, 6= 3 × 2 and 9 = 3 × 3. So,we take the common factor 3 exactly once because it came only once. and the remaning 2 and 3. => LCM of 6 and 9 is 3 × 3 × 2 = 18.
HCF means highest common factor.. which means we have to take only the common prime factors the number of times they are repeated.
Example :-- for HCF of 6 and 9, 6 = 3 × 2 and 9 = 3 × 3. So, we take the only common factor 3 and that too exactly once. So, HCF of 6 and 9 is 3.
We consider all the commo
If the LCM and HCF of two numbers is 12 and 6 respectively and one of the numbers is 6, what is the other number?
Product of LCM and HCF of two numbers is equal to the product of respective numbers itself. Thus 12x6 should be equal to the product of numbers.
12x6= 6 x other number
Other number = 6
What are two numbers of LCM 20 and HCF 30?
The question wrong.
The LCM has to be more than the HCF. Here the LCM is 20 and the HCF, 30.
So the question is wrong.
The HCF of two numbers is 15 and their LCM is 300. If one of the number is 60, the other is?
Let the another number be x
Product of numbers =product of lcm and hcf
60×x=15 ×300
X=75 (ans)
The LCM of two numbers is 30 and their HCF is 5. One of the numbers is 10. The other is number will be?
product of two numbers = product of there LCM & HCF
let x be the unknown number,
x*10 = 30*5
x=15
The GCF of two numbers is 12 and their LCM is 72. If the first number is 36, what is the other number?
24
Here’s why:
24 and 36’s GCF is 12 as 24’s factors are 1, 2, 3, 4, 6, 8, and 12 and 36’s factors are 1, 2, 3, 4, 6, 9, 12, and 18. As you can see, 12 is 24 and 36’s GCF because they are the largest in common values. It the greatest common factor between these to numbers.
24 and 36’s LCM is 72 because 24’s multiples are 24, 48, 72, 96,… and 36’s multiples are 36, 72, 108,… So, since 72 is the smallest in value and a similar multiple from those two numbers, it becomes our LCM.
LCM of two numbers is 225 and their HCF is 5. If one number is 25, the other number will be?
Prod of two numbers = product of their lcm and hcf
Let the other number be x
25 × x = 225×5
x = (225×5)÷25
= 45
Answer:
GCF OF 18 and 180 is 18
Explanation:
The GCF of 18 and 180 is 18
Answer:
LCM of 18 and 180 is 180
Ecplanation: The LCM of 18 and 180 is 180
Hope it helpful for you