Greatest Common Factor of 274/988, 2128/8640

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 274/988, 2128/8640

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 274/988,2128/8640

Given fractions are 274/988,2128/8640

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 274,2128

Greatest Common Factor of Numerators i.e. GCF of 274,2128 is 2 .

LCM of Denominators means LCM of 988,8640 as per the given fractions.

LCM of 988,8640 is 2134080 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 274,2128

GCF of Fractions 274/988,2128/8640 is 2/2134080

2 274, 2128
137, 1064

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

Greatest Common Factor of 274,2128 By Matching Biggest Common Factor Method

Greatest Common Factor of 274,2128 By Matching Biggest Common Factor Method

Factors of 274

List of positive integer factors of 274 that divides 274 without a remainder.

1,2,137,274

Factors of 2128

List of positive integer factors of 2128 that divides 2128 without a remainder.

1,2,4,7,8,14,16,19,28,38,56,76,112,133,152,266,304,532,1064,2128

Greatest Common Factor

We found the factors 274,2128 . The biggest common factor number is the GCF number.
So the greatest common factor 274,2128 is 2.

Lets's calculate LCM of 988,8640

2 988, 8640
2 494, 4320
247, 2160

∴ So the LCM of the given numbers is 2 x 2 x 247 x 2160 = 2134080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2134080

Therefore, the GCF of Fractions 274/988,2128/8640 is 2/2134080

Least Common Multiple of 988,8640 with GCF Formula

Least Common Multiple of 988,8640 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 988,8640 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(988,8640) = 4

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

GCF(988,8640) x common factors =4 x 1 = 4

LCM(988,8640) = ( 988 × 8640 ) / 4

LCM(988,8640) = 8536320 / 4

LCM(988,8640) = 2134080


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 274/988, 2128/8640

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 274/988, 2128/8640?

Answer: GCF of Numerators as per given numbers 274/988, 2128/8640 is

GCF of Numerators i.e. for 274,2128 is 2

LCM of denominators i.e. for 988,8640 is 2134080.

Thus, GCF of Fractions is 2/2134080.Finally, GCF of Fractions for 274/988, 2128/8640 is 2/2134080.