Greatest Common Factor of 828/760, 736/956

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 828/760, 736/956

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 828/760,736/956

Given fractions are 828/760,736/956

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 828,736

Greatest Common Factor of Numerators i.e. GCF of 828,736 is 92 .

LCM of Denominators means LCM of 760,956 as per the given fractions.

LCM of 760,956 is 181640 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 828,736

GCF of Fractions 828/760,736/956 is 92/181640

2 828, 736
2 414, 368
23 207, 184
9, 8

∴ So the GCF of the given numbers is 2 x 2 x 23 = 92

Greatest Common Factor of 828,736 By Matching Biggest Common Factor Method

Greatest Common Factor of 828,736 By Matching Biggest Common Factor Method

Factors of 828

List of positive integer factors of 828 that divides 828 without a remainder.

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

Factors of 736

List of positive integer factors of 736 that divides 736 without a remainder.

1,2,4,8,16,23,32,46,92,184,368,736

Greatest Common Factor

We found the factors 828,736 . The biggest common factor number is the GCF number.
So the greatest common factor 828,736 is 92.

Lets's calculate LCM of 760,956

2 760, 956
2 380, 478
190, 239

∴ So the LCM of the given numbers is 2 x 2 x 190 x 239 = 181640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 92/181640

Therefore, the GCF of Fractions 828/760,736/956 is 92/181640

Least Common Multiple of 760,956 with GCF Formula

Least Common Multiple of 760,956 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 760,956 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(760,956) = 4

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

GCF(760,956) x common factors =4 x 1 = 4

LCM(760,956) = ( 760 × 956 ) / 4

LCM(760,956) = 726560 / 4

LCM(760,956) = 181640


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 828/760, 736/956

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 828/760, 736/956?

Answer: GCF of Numerators as per given numbers 828/760, 736/956 is

GCF of Numerators i.e. for 828,736 is 92

LCM of denominators i.e. for 760,956 is 181640.

Thus, GCF of Fractions is 92/181640.Finally, GCF of Fractions for 828/760, 736/956 is 92/181640.