Greatest Common Factor of 8737/527, 2728/8525

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8737/527, 2728/8525

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 8737/527,2728/8525

Given fractions are 8737/527,2728/8525

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 8737,2728

Greatest Common Factor of Numerators i.e. GCF of 8737,2728 is 1 .

LCM of Denominators means LCM of 527,8525 as per the given fractions.

LCM of 527,8525 is 144925 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8737,2728

GCF of Fractions 8737/527,2728/8525 is 1/144925

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

Greatest Common Factor of 8737,2728 By Matching Biggest Common Factor Method

Greatest Common Factor of 8737,2728 By Matching Biggest Common Factor Method

Factors of 8737

List of positive integer factors of 8737 that divides 8737 without a remainder.

1,8737

Factors of 2728

List of positive integer factors of 2728 that divides 2728 without a remainder.

1,2,4,8,11,22,31,44,62,88,124,248,341,682,1364,2728

Greatest Common Factor

We found the factors 8737,2728 . The biggest common factor number is the GCF number.
So the greatest common factor 8737,2728 is 1.

Lets's calculate LCM of 527,8525

31 527, 8525
17, 275

∴ So the LCM of the given numbers is 31 x 17 x 275 = 144925

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/144925

Therefore, the GCF of Fractions 8737/527,2728/8525 is 1/144925

Least Common Multiple of 527,8525 with GCF Formula

Least Common Multiple of 527,8525 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 527,8525 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(527,8525) = 31

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

GCF(527,8525) x common factors =31 x 1 = 31

LCM(527,8525) = ( 527 × 8525 ) / 31

LCM(527,8525) = 4492675 / 31

LCM(527,8525) = 144925


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 8737/527, 2728/8525

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 8737/527, 2728/8525?

Answer: GCF of Numerators as per given numbers 8737/527, 2728/8525 is

GCF of Numerators i.e. for 8737,2728 is 1

LCM of denominators i.e. for 527,8525 is 144925.

Thus, GCF of Fractions is 1/144925.Finally, GCF of Fractions for 8737/527, 2728/8525 is 1/144925.