Greatest Common Factor of 6527/920, 7885/706

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6527/920, 7885/706

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 6527/920,7885/706

Given fractions are 6527/920,7885/706

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 6527,7885

Greatest Common Factor of Numerators i.e. GCF of 6527,7885 is 1 .

LCM of Denominators means LCM of 920,706 as per the given fractions.

LCM of 920,706 is 324760 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6527,7885

GCF of Fractions 6527/920,7885/706 is 1/324760

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

Greatest Common Factor of 6527,7885 By Matching Biggest Common Factor Method

Greatest Common Factor of 6527,7885 By Matching Biggest Common Factor Method

Factors of 6527

List of positive integer factors of 6527 that divides 6527 without a remainder.

1,61,107,6527

Factors of 7885

List of positive integer factors of 7885 that divides 7885 without a remainder.

1,5,19,83,95,415,1577,7885

Greatest Common Factor

We found the factors 6527,7885 . The biggest common factor number is the GCF number.
So the greatest common factor 6527,7885 is 1.

Lets's calculate LCM of 920,706

2 920, 706
460, 353

∴ So the LCM of the given numbers is 2 x 460 x 353 = 324760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/324760

Therefore, the GCF of Fractions 6527/920,7885/706 is 1/324760

Least Common Multiple of 920,706 with GCF Formula

Least Common Multiple of 920,706 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 920,706 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(920,706) = 2

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

GCF(920,706) x common factors =2 x 1 = 2

LCM(920,706) = ( 920 × 706 ) / 2

LCM(920,706) = 649520 / 2

LCM(920,706) = 324760


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 6527/920, 7885/706

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 6527/920, 7885/706?

Answer: GCF of Numerators as per given numbers 6527/920, 7885/706 is

GCF of Numerators i.e. for 6527,7885 is 1

LCM of denominators i.e. for 920,706 is 324760.

Thus, GCF of Fractions is 1/324760.Finally, GCF of Fractions for 6527/920, 7885/706 is 1/324760.