What is the HCF of 6, 72, and 120?
Highest Common Factor of two or more numbers is the largest possible number which divides the given numbers exactly.
Answer: HCF of 6, 72, and 120 is 6
We can find the HCF by the following methods
Methods to find HCF of 6, 72 and 120

Prime factorization Method

Listing the common factors method
 Long division Method
Method 1: HCF of 6, 72, and 120 by Prime Factorization
Let us represent 6, 72, and 120 as a product of its prime numbers
Prime factorization of 6 is
2 × 3
Prime factorization of 72 is
2 × 2 × 2 × 3 × 3
Prime factorization of 120 is
2 × 2 × 2 × 3 × 5
Common factors = 2 × 3 = 6
Thus, HCF is 6
Now, Lets understand how to find LCM of 6,72,120
What is the LCM of 6, 72 and 120?
LCM of 6, 72 and 120 is the least number which is exactly divisible by both 6, 72 and 120.
Answer: LCM of 6, 72 and 120 is 360
Lets find the LCM of 6,72 and 120
Explanation:
Least Common Multiple is the smallest number which the given numbers divide exactly.
We can find the LCM of the numbers in many ways as listed below.
Method to Find LCM of 6, 72, and 120
 Common Division

Listing the common factors method
LCM of 6, 72 and 120 by Common Division Method
In this method, we divide the numbers simultaneously with prime numbers until we don't have a prime number to divide the given numbers.
Therefore, LCM of 6, 72 and 120 is 360
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