if HCF of two numbers is 1 and LCM is 91 what are those numbers
Answers
Concept
HCF is the greatest number which divides each of the two or more numbers. HCF is also called the Greatest Common Measure (GCM) and Greatest Common Divisor(GCD).
LCM stands for least common multiple. The least common multiple of two numbers is the smallest number that is a multiple of both of them.
Given
1) HCF of two numbers is 1
2) LCM of two numbers is 91
Find
What are the numbers
Solution
Let the numbers be x and y
We know that
Product of HCF and LCM is equal to product of numbers
xy = LCM * HCF
xy = 91
Factors of 91 are 1,7,13,91
So,
x and y are 7 and 13
The two numbers are 7 and 13 whose HCF is 1 and LCM is 91.
#SPJ2
Answer:
The two numbers are either (1 , 91) or (7, 13).
Step-by-step explanation:
Given,
HCF of two Numbers = 1
LCM of two Numbers = 91
LCM is the Least Common Multiple of two or more numbers.
HCF is the Highest Common Factor of two or more numbers.
We know that,
HCF * LCM = Product of Two Numbers ( Let the numbers be a,b)
a * b = 91 * 1 = 91
The Factors of 91 = ( 1 , 7 , 13 , 91)
The two numbers share a HCF of 1, We need to find the number in such a way that HCF of the two numbers is 1 and LCM is 91
There are two pairs of numbers with the above conditions
(1 , 91) and ( 7, 13).
Hence, The two numbers could be either (1 , 91) or (7, 13).
How to Find LCM and HCF
https://brainly.in/question/4829951
Similar Problems
https://brainly.in/question/51846540
#SPJ2