Greatest Common Factor of 6276/238, 8436/7272

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6276/238, 8436/7272

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 6276/238,8436/7272

Given fractions are 6276/238,8436/7272

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 6276,8436

Greatest Common Factor of Numerators i.e. GCF of 6276,8436 is 12 .

LCM of Denominators means LCM of 238,7272 as per the given fractions.

LCM of 238,7272 is 865368 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6276,8436

GCF of Fractions 6276/238,8436/7272 is 12/865368

2 6276, 8436
2 3138, 4218
3 1569, 2109
523, 703

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 6276,8436 By Matching Biggest Common Factor Method

Greatest Common Factor of 6276,8436 By Matching Biggest Common Factor Method

Factors of 6276

List of positive integer factors of 6276 that divides 6276 without a remainder.

1,2,3,4,6,12,523,1046,1569,2092,3138,6276

Factors of 8436

List of positive integer factors of 8436 that divides 8436 without a remainder.

1,2,3,4,6,12,19,37,38,57,74,76,111,114,148,222,228,444,703,1406,2109,2812,4218,8436

Greatest Common Factor

We found the factors 6276,8436 . The biggest common factor number is the GCF number.
So the greatest common factor 6276,8436 is 12.

Lets's calculate LCM of 238,7272

2 238, 7272
119, 3636

∴ So the LCM of the given numbers is 2 x 119 x 3636 = 865368

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/865368

Therefore, the GCF of Fractions 6276/238,8436/7272 is 12/865368

Least Common Multiple of 238,7272 with GCF Formula

Least Common Multiple of 238,7272 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 238,7272 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(238,7272) = 2

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

GCF(238,7272) x common factors =2 x 1 = 2

LCM(238,7272) = ( 238 × 7272 ) / 2

LCM(238,7272) = 1730736 / 2

LCM(238,7272) = 865368


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 6276/238, 8436/7272

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 6276/238, 8436/7272?

Answer: GCF of Numerators as per given numbers 6276/238, 8436/7272 is

GCF of Numerators i.e. for 6276,8436 is 12

LCM of denominators i.e. for 238,7272 is 865368.

Thus, GCF of Fractions is 12/865368.Finally, GCF of Fractions for 6276/238, 8436/7272 is 12/865368.