Greatest Common Factor of 917/77, 911/11, 760/56

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 917/77, 911/11, 760/56

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 917/77,911/11,760/56

Given fractions are 917/77,911/11,760/56

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 917,911,760

Greatest Common Factor of Numerators i.e. GCF of 917,911,760 is 1 .

LCM of Denominators means LCM of 77,11,56 as per the given fractions.

LCM of 77,11,56 is 616 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 917,911,760

GCF of Fractions 917/77,911/11,760/56 is 1/616

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 917,911,760 By Matching Biggest Common Factor Method

Greatest Common Factor of 917,911,760 By Matching Biggest Common Factor Method

Factors of 917

List of positive integer factors of 917 that divides 917 without a remainder.

1,7,131,917

Factors of 911

List of positive integer factors of 911 that divides 911 without a remainder.

1,911

Factors of 760

List of positive integer factors of 760 that divides 760 without a remainder.

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Greatest Common Factor

We found the factors 917,911,760 . The biggest common factor number is the GCF number.
So the greatest common factor 917,911,760 is 1.

Lets's calculate LCM of 77,11,56

7 77, 11, 56
11 11, 11, 8
1, 1, 8

∴ So the LCM of the given numbers is 7 x 11 x 1 x 1 x 8 = 616

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/616

Therefore, the GCF of Fractions 917/77,911/11,760/56 is 1/616

Least Common Multiple of 77,11,56 with GCF Formula

Least Common Multiple of 77,11,56 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 77,11,56 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,11,56) = 1

common factors(in case of two or more numbers have common factors) = 77

GCF(77,11,56) x common factors =1 x 77 = 77

LCM(77,11,56) = ( 77 × 11 × 56 ) / 77

LCM(77,11,56) = 47432 / 77

LCM(77,11,56) = 616


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 917/77, 911/11, 760/56

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 917/77, 911/11, 760/56?

Answer: GCF of Numerators as per given numbers 917/77, 911/11, 760/56 is

GCF of Numerators i.e. for 917,911,760 is 1

LCM of denominators i.e. for 77,11,56 is 616.

Thus, GCF of Fractions is 1/616.Finally, GCF of Fractions for 917/77, 911/11, 760/56 is 1/616.