Find the Hcf and lcm of 120 and 75 using common division methods
Answers
HCF
Step 1 find HCF.
HCF
3 120 ,75
5 60,25
12,5
common factors are 3 and 5
HCF=product of common factors.
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Step 2 multiply the common numbers
=2 x 5
ans =10
therefore HCF=10
LCM
2 120 , 75
5 60, 25
5 12,5
2 6,5
2 3,5
3 1,5
5 1,1
lcm=2x5x5x2x2x3x5
lcm=3000
Answer:
HCF of given number is 15 and LCM of the given number is 600.
Step-by-step explanation:
Given number are 120 and 75
We need to find the HCF and LCM of the given number by Common division method.
In common division method we write the number in horizontal line separated by commas and then first we divide both number by a common prime number to find HCF and to find LCM we first divide by common factor but when number left for which common prime factor no possible then we individual divide each factor by prime number.
HCF and LCM is find and attached in pic.
HCF = 5 × 3 = 15
LCM = 5 × 3 × 5 × 2 × 2 × 2 = 600
Therefore, HCF of given number is 15 and LCM of the given number is 600.
