Greatest Common Factor of 282/724, 3760/8731

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 282/724, 3760/8731

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 282/724,3760/8731

Given fractions are 282/724,3760/8731

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 282,3760

Greatest Common Factor of Numerators i.e. GCF of 282,3760 is 94 .

LCM of Denominators means LCM of 724,8731 as per the given fractions.

LCM of 724,8731 is 6321244 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 282,3760

GCF of Fractions 282/724,3760/8731 is 94/6321244

2 282, 3760
47 141, 1880
3, 40

∴ So the GCF of the given numbers is 2 x 47 = 94

Greatest Common Factor of 282,3760 By Matching Biggest Common Factor Method

Greatest Common Factor of 282,3760 By Matching Biggest Common Factor Method

Factors of 282

List of positive integer factors of 282 that divides 282 without a remainder.

1,2,3,6,47,94,141,282

Factors of 3760

List of positive integer factors of 3760 that divides 3760 without a remainder.

1,2,4,5,8,10,16,20,40,47,80,94,188,235,376,470,752,940,1880,3760

Greatest Common Factor

We found the factors 282,3760 . The biggest common factor number is the GCF number.
So the greatest common factor 282,3760 is 94.

Lets's calculate LCM of 724,8731

Given numbers has no common factors except 1. So, there LCM is their product i.e 6321244

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 94/6321244

Therefore, the GCF of Fractions 282/724,3760/8731 is 94/6321244

Least Common Multiple of 724,8731 with GCF Formula

Least Common Multiple of 724,8731 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 724,8731 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(724,8731) = 1

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

GCF(724,8731) x common factors =1 x 1 = 1

LCM(724,8731) = ( 724 × 8731 ) / 1

LCM(724,8731) = 6321244 / 1

LCM(724,8731) = 6321244


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 282/724, 3760/8731

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 282/724, 3760/8731?

Answer: GCF of Numerators as per given numbers 282/724, 3760/8731 is

GCF of Numerators i.e. for 282,3760 is 94

LCM of denominators i.e. for 724,8731 is 6321244.

Thus, GCF of Fractions is 94/6321244.Finally, GCF of Fractions for 282/724, 3760/8731 is 94/6321244.