Greatest Common Factor of 8550/720, 8735/2656

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8550/720, 8735/2656

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 8550/720,8735/2656

Given fractions are 8550/720,8735/2656

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 8550,8735

Greatest Common Factor of Numerators i.e. GCF of 8550,8735 is 5 .

LCM of Denominators means LCM of 720,2656 as per the given fractions.

LCM of 720,2656 is 119520 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8550,8735

GCF of Fractions 8550/720,8735/2656 is 5/119520

5 8550, 8735
1710, 1747

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 8550,8735 By Matching Biggest Common Factor Method

Greatest Common Factor of 8550,8735 By Matching Biggest Common Factor Method

Factors of 8550

List of positive integer factors of 8550 that divides 8550 without a remainder.

1,2,3,5,6,9,10,15,18,19,25,30,38,45,50,57,75,90,95,114,150,171,190,225,285,342,450,475,570,855,950,1425,1710,2850,4275,8550

Factors of 8735

List of positive integer factors of 8735 that divides 8735 without a remainder.

1,5,1747,8735

Greatest Common Factor

We found the factors 8550,8735 . The biggest common factor number is the GCF number.
So the greatest common factor 8550,8735 is 5.

Lets's calculate LCM of 720,2656

2 720, 2656
2 360, 1328
2 180, 664
2 90, 332
45, 166

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 45 x 166 = 119520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/119520

Therefore, the GCF of Fractions 8550/720,8735/2656 is 5/119520

Least Common Multiple of 720,2656 with GCF Formula

Least Common Multiple of 720,2656 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 720,2656 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(720,2656) = 16

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

GCF(720,2656) x common factors =16 x 1 = 16

LCM(720,2656) = ( 720 × 2656 ) / 16

LCM(720,2656) = 1912320 / 16

LCM(720,2656) = 119520


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 8550/720, 8735/2656

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 8550/720, 8735/2656?

Answer: GCF of Numerators as per given numbers 8550/720, 8735/2656 is

GCF of Numerators i.e. for 8550,8735 is 5

LCM of denominators i.e. for 720,2656 is 119520.

Thus, GCF of Fractions is 5/119520.Finally, GCF of Fractions for 8550/720, 8735/2656 is 5/119520.