Greatest Common Factor of 572/429, 502/840

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 572/429, 502/840

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 572/429,502/840

Given fractions are 572/429,502/840

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 572,502

Greatest Common Factor of Numerators i.e. GCF of 572,502 is 2 .

LCM of Denominators means LCM of 429,840 as per the given fractions.

LCM of 429,840 is 120120 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 572,502

GCF of Fractions 572/429,502/840 is 2/120120

2 572, 502
286, 251

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

Greatest Common Factor of 572,502 By Matching Biggest Common Factor Method

Greatest Common Factor of 572,502 By Matching Biggest Common Factor Method

Factors of 572

List of positive integer factors of 572 that divides 572 without a remainder.

1,2,4,11,13,22,26,44,52,143,286,572

Factors of 502

List of positive integer factors of 502 that divides 502 without a remainder.

1,2,251,502

Greatest Common Factor

We found the factors 572,502 . The biggest common factor number is the GCF number.
So the greatest common factor 572,502 is 2.

Lets's calculate LCM of 429,840

3 429, 840
143, 280

∴ So the LCM of the given numbers is 3 x 143 x 280 = 120120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/120120

Therefore, the GCF of Fractions 572/429,502/840 is 2/120120

Least Common Multiple of 429,840 with GCF Formula

Least Common Multiple of 429,840 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 429,840 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(429,840) = 3

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

GCF(429,840) x common factors =3 x 1 = 3

LCM(429,840) = ( 429 × 840 ) / 3

LCM(429,840) = 360360 / 3

LCM(429,840) = 120120


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 572/429, 502/840

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 572/429, 502/840?

Answer: GCF of Numerators as per given numbers 572/429, 502/840 is

GCF of Numerators i.e. for 572,502 is 2

LCM of denominators i.e. for 429,840 is 120120.

Thus, GCF of Fractions is 2/120120.Finally, GCF of Fractions for 572/429, 502/840 is 2/120120.