Greatest Common Factor of 572/398, 8008/6264

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 572/398, 8008/6264

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 572/398,8008/6264

Given fractions are 572/398,8008/6264

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 572,8008

Greatest Common Factor of Numerators i.e. GCF of 572,8008 is 572 .

LCM of Denominators means LCM of 398,6264 as per the given fractions.

LCM of 398,6264 is 1246536 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 572,8008

GCF of Fractions 572/398,8008/6264 is 572/1246536

2 572, 8008
2 286, 4004
11 143, 2002
13 13, 182
1, 14

∴ So the GCF of the given numbers is 2 x 2 x 11 x 13 = 572

Greatest Common Factor of 572,8008 By Matching Biggest Common Factor Method

Greatest Common Factor of 572,8008 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 8008

List of positive integer factors of 8008 that divides 8008 without a remainder.

1,2,4,7,8,11,13,14,22,26,28,44,52,56,77,88,91,104,143,154,182,286,308,364,572,616,728,1001,1144,2002,4004,8008

Greatest Common Factor

We found the factors 572,8008 . The biggest common factor number is the GCF number.
So the greatest common factor 572,8008 is 572.

Lets's calculate LCM of 398,6264

2 398, 6264
199, 3132

∴ So the LCM of the given numbers is 2 x 199 x 3132 = 1246536

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 572/1246536

Therefore, the GCF of Fractions 572/398,8008/6264 is 572/1246536

Least Common Multiple of 398,6264 with GCF Formula

Least Common Multiple of 398,6264 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 398,6264 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(398,6264) = 2

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

GCF(398,6264) x common factors =2 x 1 = 2

LCM(398,6264) = ( 398 × 6264 ) / 2

LCM(398,6264) = 2493072 / 2

LCM(398,6264) = 1246536


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 572/398, 8008/6264

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 572/398, 8008/6264?

Answer: GCF of Numerators as per given numbers 572/398, 8008/6264 is

GCF of Numerators i.e. for 572,8008 is 572

LCM of denominators i.e. for 398,6264 is 1246536.

Thus, GCF of Fractions is 572/1246536.Finally, GCF of Fractions for 572/398, 8008/6264 is 572/1246536.