Greatest Common Factor of 5285/680, 9526/9786

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5285/680, 9526/9786

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 5285/680,9526/9786

Given fractions are 5285/680,9526/9786

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 5285,9526

Greatest Common Factor of Numerators i.e. GCF of 5285,9526 is 1 .

LCM of Denominators means LCM of 680,9786 as per the given fractions.

LCM of 680,9786 is 3327240 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5285,9526

GCF of Fractions 5285/680,9526/9786 is 1/3327240

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

Greatest Common Factor of 5285,9526 By Matching Biggest Common Factor Method

Greatest Common Factor of 5285,9526 By Matching Biggest Common Factor Method

Factors of 5285

List of positive integer factors of 5285 that divides 5285 without a remainder.

1,5,7,35,151,755,1057,5285

Factors of 9526

List of positive integer factors of 9526 that divides 9526 without a remainder.

1,2,11,22,433,866,4763,9526

Greatest Common Factor

We found the factors 5285,9526 . The biggest common factor number is the GCF number.
So the greatest common factor 5285,9526 is 1.

Lets's calculate LCM of 680,9786

2 680, 9786
340, 4893

∴ So the LCM of the given numbers is 2 x 340 x 4893 = 3327240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3327240

Therefore, the GCF of Fractions 5285/680,9526/9786 is 1/3327240

Least Common Multiple of 680,9786 with GCF Formula

Least Common Multiple of 680,9786 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 680,9786 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(680,9786) = 2

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

GCF(680,9786) x common factors =2 x 1 = 2

LCM(680,9786) = ( 680 × 9786 ) / 2

LCM(680,9786) = 6654480 / 2

LCM(680,9786) = 3327240


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 5285/680, 9526/9786

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 5285/680, 9526/9786?

Answer: GCF of Numerators as per given numbers 5285/680, 9526/9786 is

GCF of Numerators i.e. for 5285,9526 is 1

LCM of denominators i.e. for 680,9786 is 3327240.

Thus, GCF of Fractions is 1/3327240.Finally, GCF of Fractions for 5285/680, 9526/9786 is 1/3327240.