Greatest Common Factor of 7705/517, 8488/748

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7705/517, 8488/748

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 7705/517,8488/748

Given fractions are 7705/517,8488/748

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 7705,8488

Greatest Common Factor of Numerators i.e. GCF of 7705,8488 is 1 .

LCM of Denominators means LCM of 517,748 as per the given fractions.

LCM of 517,748 is 35156 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7705,8488

GCF of Fractions 7705/517,8488/748 is 1/35156

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

Greatest Common Factor of 7705,8488 By Matching Biggest Common Factor Method

Greatest Common Factor of 7705,8488 By Matching Biggest Common Factor Method

Factors of 7705

List of positive integer factors of 7705 that divides 7705 without a remainder.

1,5,23,67,115,335,1541,7705

Factors of 8488

List of positive integer factors of 8488 that divides 8488 without a remainder.

1,2,4,8,1061,2122,4244,8488

Greatest Common Factor

We found the factors 7705,8488 . The biggest common factor number is the GCF number.
So the greatest common factor 7705,8488 is 1.

Lets's calculate LCM of 517,748

11 517, 748
47, 68

∴ So the LCM of the given numbers is 11 x 47 x 68 = 35156

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35156

Therefore, the GCF of Fractions 7705/517,8488/748 is 1/35156

Least Common Multiple of 517,748 with GCF Formula

Least Common Multiple of 517,748 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 517,748 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(517,748) = 11

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

GCF(517,748) x common factors =11 x 1 = 11

LCM(517,748) = ( 517 × 748 ) / 11

LCM(517,748) = 386716 / 11

LCM(517,748) = 35156


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 7705/517, 8488/748

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 7705/517, 8488/748?

Answer: GCF of Numerators as per given numbers 7705/517, 8488/748 is

GCF of Numerators i.e. for 7705,8488 is 1

LCM of denominators i.e. for 517,748 is 35156.

Thus, GCF of Fractions is 1/35156.Finally, GCF of Fractions for 7705/517, 8488/748 is 1/35156.