Greatest Common Factor of 5117/866, 5767/708

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5117/866, 5767/708

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 5117/866,5767/708

Given fractions are 5117/866,5767/708

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 5117,5767

Greatest Common Factor of Numerators i.e. GCF of 5117,5767 is 1 .

LCM of Denominators means LCM of 866,708 as per the given fractions.

LCM of 866,708 is 306564 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5117,5767

GCF of Fractions 5117/866,5767/708 is 1/306564

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

Greatest Common Factor of 5117,5767 By Matching Biggest Common Factor Method

Greatest Common Factor of 5117,5767 By Matching Biggest Common Factor Method

Factors of 5117

List of positive integer factors of 5117 that divides 5117 without a remainder.

1,7,17,43,119,301,731,5117

Factors of 5767

List of positive integer factors of 5767 that divides 5767 without a remainder.

1,73,79,5767

Greatest Common Factor

We found the factors 5117,5767 . The biggest common factor number is the GCF number.
So the greatest common factor 5117,5767 is 1.

Lets's calculate LCM of 866,708

2 866, 708
433, 354

∴ So the LCM of the given numbers is 2 x 433 x 354 = 306564

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/306564

Therefore, the GCF of Fractions 5117/866,5767/708 is 1/306564

Least Common Multiple of 866,708 with GCF Formula

Least Common Multiple of 866,708 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 866,708 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(866,708) = 2

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

GCF(866,708) x common factors =2 x 1 = 2

LCM(866,708) = ( 866 × 708 ) / 2

LCM(866,708) = 613128 / 2

LCM(866,708) = 306564


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 5117/866, 5767/708

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 5117/866, 5767/708?

Answer: GCF of Numerators as per given numbers 5117/866, 5767/708 is

GCF of Numerators i.e. for 5117,5767 is 1

LCM of denominators i.e. for 866,708 is 306564.

Thus, GCF of Fractions is 1/306564.Finally, GCF of Fractions for 5117/866, 5767/708 is 1/306564.