Greatest Common Factor of 276/540, 4740/946

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 276/540, 4740/946

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 276/540,4740/946

Given fractions are 276/540,4740/946

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 276,4740

Greatest Common Factor of Numerators i.e. GCF of 276,4740 is 12 .

LCM of Denominators means LCM of 540,946 as per the given fractions.

LCM of 540,946 is 255420 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 276,4740

GCF of Fractions 276/540,4740/946 is 12/255420

2 276, 4740
2 138, 2370
3 69, 1185
23, 395

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

Greatest Common Factor of 276,4740 By Matching Biggest Common Factor Method

Greatest Common Factor of 276,4740 By Matching Biggest Common Factor Method

Factors of 276

List of positive integer factors of 276 that divides 276 without a remainder.

1,2,3,4,6,12,23,46,69,92,138,276

Factors of 4740

List of positive integer factors of 4740 that divides 4740 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,79,158,237,316,395,474,790,948,1185,1580,2370,4740

Greatest Common Factor

We found the factors 276,4740 . The biggest common factor number is the GCF number.
So the greatest common factor 276,4740 is 12.

Lets's calculate LCM of 540,946

2 540, 946
270, 473

∴ So the LCM of the given numbers is 2 x 270 x 473 = 255420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/255420

Therefore, the GCF of Fractions 276/540,4740/946 is 12/255420

Least Common Multiple of 540,946 with GCF Formula

Least Common Multiple of 540,946 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 540,946 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(540,946) = 2

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

GCF(540,946) x common factors =2 x 1 = 2

LCM(540,946) = ( 540 × 946 ) / 2

LCM(540,946) = 510840 / 2

LCM(540,946) = 255420


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 276/540, 4740/946

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 276/540, 4740/946?

Answer: GCF of Numerators as per given numbers 276/540, 4740/946 is

GCF of Numerators i.e. for 276,4740 is 12

LCM of denominators i.e. for 540,946 is 255420.

Thus, GCF of Fractions is 12/255420.Finally, GCF of Fractions for 276/540, 4740/946 is 12/255420.