Greatest Common Factor of 105, 120, 462

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of two or more numbers Calculator allows you to quickly calculate the GCF of 105, 120, 462 i.e. 3 largest integer that divides all the numbers equally.

Greatest common factor (GCF) of 105, 120, 462 is 3.

GCF(105, 120, 462) = 3

GCF of 105, 120, 462

Greatest common factor or Greatest common divisor (GCD) can be calculated in two ways

GCF of:

Greatest Common Factor of 105,120,462

GCF of 105,120,462 is 3

3 105, 120, 462
35, 40, 154

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor (GCF) By Matching Biggest Common Factor Method

Factors of 105

List of positive integer factors of 105 that divides 105 without a remainder.

1,3,5,7,15,21,35,105

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Greatest Common Factor

We found the factors 105,120,462 . The biggest common factor number is the GCF number.
So the greatest common factor 105,120,462 is 3.

GCF of two or more Numbers Calculation Examples

Here are some samples of GCF of two or more Numbers calculations.

Frequently Asked Questions on GCF of 105, 120, 462

1. What is the GCF of 105, 120, 462?

Answer: GCF of 105, 120, 462 is 3.

2. How to Find the GCF of 105, 120, 462

Answer: Greatest Common Factor(GCF) of 105, 120, 462 = 3

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors GCF(105, 120, 462) = 3.