Greatest Common Factor of 517/529, 7747/762

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 517/529, 7747/762

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 517/529,7747/762

Given fractions are 517/529,7747/762

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 517,7747

Greatest Common Factor of Numerators i.e. GCF of 517,7747 is 1 .

LCM of Denominators means LCM of 529,762 as per the given fractions.

LCM of 529,762 is 403098 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 517,7747

GCF of Fractions 517/529,7747/762 is 1/403098

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

Greatest Common Factor of 517,7747 By Matching Biggest Common Factor Method

Greatest Common Factor of 517,7747 By Matching Biggest Common Factor Method

Factors of 517

List of positive integer factors of 517 that divides 517 without a remainder.

1,11,47,517

Factors of 7747

List of positive integer factors of 7747 that divides 7747 without a remainder.

1,61,127,7747

Greatest Common Factor

We found the factors 517,7747 . The biggest common factor number is the GCF number.
So the greatest common factor 517,7747 is 1.

Lets's calculate LCM of 529,762

Given numbers has no common factors except 1. So, there LCM is their product i.e 403098

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/403098

Therefore, the GCF of Fractions 517/529,7747/762 is 1/403098

Least Common Multiple of 529,762 with GCF Formula

Least Common Multiple of 529,762 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 529,762 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(529,762) = 1

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

GCF(529,762) x common factors =1 x 1 = 1

LCM(529,762) = ( 529 × 762 ) / 1

LCM(529,762) = 403098 / 1

LCM(529,762) = 403098


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 517/529, 7747/762

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 517/529, 7747/762?

Answer: GCF of Numerators as per given numbers 517/529, 7747/762 is

GCF of Numerators i.e. for 517,7747 is 1

LCM of denominators i.e. for 529,762 is 403098.

Thus, GCF of Fractions is 1/403098.Finally, GCF of Fractions for 517/529, 7747/762 is 1/403098.