What is the HCF / GCF of 120, 180 and 190
120 = 10 * 3 * 2 * 2
180 = 10 * 3 * 3 * 2
190 = 10 * 19
looks like 10
But the answer in the book is 6840 for HCF / GCF of 120, 180 and 190 calculated under prime factorisation method. How it is? Can someone explain the calculation in depth..!!
Sure, but that is the lowest common multiple
we need
one 10
one 19
two 2
two 3
10 * 19 * 2 * 2 * 3 * 3 = 6840
To find the Highest Common Factor (HCF) or Greatest Common Factor (GCF) of three numbers, such as 120, 180, and 190, you can follow these steps:
Step 1: Prime Factorization
Start by finding the prime factorization of each number.
120: 2 x 2 x 2 x 3 x 5
180: 2 x 2 x 3 x 3 x 5
190: 2 x 5 x 19
Step 2: Common Prime Factors
Identify the common prime factors among the numbers. In this case, the common prime factors are 2 and 5.
Step 3: Multiply Common Prime Factors
Multiply the common prime factors together: 2 x 5 = 10.
Therefore, the HCF/GCF of 120, 180, and 190 is 10.