Greatest Common Factor of 252/270, 9258/8076

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 252/270, 9258/8076

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 252/270,9258/8076

Given fractions are 252/270,9258/8076

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 252,9258

Greatest Common Factor of Numerators i.e. GCF of 252,9258 is 6 .

LCM of Denominators means LCM of 270,8076 as per the given fractions.

LCM of 270,8076 is 363420 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 252,9258

GCF of Fractions 252/270,9258/8076 is 6/363420

2 252, 9258
3 126, 4629
42, 1543

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

Greatest Common Factor of 252,9258 By Matching Biggest Common Factor Method

Greatest Common Factor of 252,9258 By Matching Biggest Common Factor Method

Factors of 252

List of positive integer factors of 252 that divides 252 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252

Factors of 9258

List of positive integer factors of 9258 that divides 9258 without a remainder.

1,2,3,6,1543,3086,4629,9258

Greatest Common Factor

We found the factors 252,9258 . The biggest common factor number is the GCF number.
So the greatest common factor 252,9258 is 6.

Lets's calculate LCM of 270,8076

2 270, 8076
3 135, 4038
45, 1346

∴ So the LCM of the given numbers is 2 x 3 x 45 x 1346 = 363420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/363420

Therefore, the GCF of Fractions 252/270,9258/8076 is 6/363420

Least Common Multiple of 270,8076 with GCF Formula

Least Common Multiple of 270,8076 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 270,8076 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(270,8076) = 6

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

GCF(270,8076) x common factors =6 x 1 = 6

LCM(270,8076) = ( 270 × 8076 ) / 6

LCM(270,8076) = 2180520 / 6

LCM(270,8076) = 363420


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 252/270, 9258/8076

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 252/270, 9258/8076?

Answer: GCF of Numerators as per given numbers 252/270, 9258/8076 is

GCF of Numerators i.e. for 252,9258 is 6

LCM of denominators i.e. for 270,8076 is 363420.

Thus, GCF of Fractions is 6/363420.Finally, GCF of Fractions for 252/270, 9258/8076 is 6/363420.