Greatest Common Factor of 5724/457, 2802/820

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5724/457, 2802/820

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 5724/457,2802/820

Given fractions are 5724/457,2802/820

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 5724,2802

Greatest Common Factor of Numerators i.e. GCF of 5724,2802 is 6 .

LCM of Denominators means LCM of 457,820 as per the given fractions.

LCM of 457,820 is 374740 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5724,2802

GCF of Fractions 5724/457,2802/820 is 6/374740

2 5724, 2802
3 2862, 1401
954, 467

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 5724,2802 By Matching Biggest Common Factor Method

Greatest Common Factor of 5724,2802 By Matching Biggest Common Factor Method

Factors of 5724

List of positive integer factors of 5724 that divides 5724 without a remainder.

1,2,3,4,6,9,12,18,27,36,53,54,106,108,159,212,318,477,636,954,1431,1908,2862,5724

Factors of 2802

List of positive integer factors of 2802 that divides 2802 without a remainder.

1,2,3,6,467,934,1401,2802

Greatest Common Factor

We found the factors 5724,2802 . The biggest common factor number is the GCF number.
So the greatest common factor 5724,2802 is 6.

Lets's calculate LCM of 457,820

Given numbers has no common factors except 1. So, there LCM is their product i.e 374740

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/374740

Therefore, the GCF of Fractions 5724/457,2802/820 is 6/374740

Least Common Multiple of 457,820 with GCF Formula

Least Common Multiple of 457,820 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 457,820 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(457,820) = 1

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

GCF(457,820) x common factors =1 x 1 = 1

LCM(457,820) = ( 457 × 820 ) / 1

LCM(457,820) = 374740 / 1

LCM(457,820) = 374740


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 5724/457, 2802/820

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 5724/457, 2802/820?

Answer: GCF of Numerators as per given numbers 5724/457, 2802/820 is

GCF of Numerators i.e. for 5724,2802 is 6

LCM of denominators i.e. for 457,820 is 374740.

Thus, GCF of Fractions is 6/374740.Finally, GCF of Fractions for 5724/457, 2802/820 is 6/374740.