Greatest Common Factor of 72/402, 484/457

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 72/402, 484/457

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 72/402,484/457

Given fractions are 72/402,484/457

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 72,484

Greatest Common Factor of Numerators i.e. GCF of 72,484 is 4 .

LCM of Denominators means LCM of 402,457 as per the given fractions.

LCM of 402,457 is 183714 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 72,484

GCF of Fractions 72/402,484/457 is 4/183714

2 72, 484
2 36, 242
18, 121

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 72,484 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,484 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 484

List of positive integer factors of 484 that divides 484 without a remainder.

1,2,4,11,22,44,121,242,484

Greatest Common Factor

We found the factors 72,484 . The biggest common factor number is the GCF number.
So the greatest common factor 72,484 is 4.

Lets's calculate LCM of 402,457

Given numbers has no common factors except 1. So, there LCM is their product i.e 183714

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/183714

Therefore, the GCF of Fractions 72/402,484/457 is 4/183714

Least Common Multiple of 402,457 with GCF Formula

Least Common Multiple of 402,457 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 402,457 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(402,457) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(402,457) x common factors =1 x 1 = 1

LCM(402,457) = ( 402 × 457 ) / 1

LCM(402,457) = 183714 / 1

LCM(402,457) = 183714


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 72/402, 484/457

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 72/402, 484/457?

Answer: GCF of Numerators as per given numbers 72/402, 484/457 is

GCF of Numerators i.e. for 72,484 is 4

LCM of denominators i.e. for 402,457 is 183714.

Thus, GCF of Fractions is 4/183714.Finally, GCF of Fractions for 72/402, 484/457 is 4/183714.