Greatest Common Factor of 8732/735, 5760/169

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8732/735, 5760/169

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 8732/735,5760/169

Given fractions are 8732/735,5760/169

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 8732,5760

Greatest Common Factor of Numerators i.e. GCF of 8732,5760 is 4 .

LCM of Denominators means LCM of 735,169 as per the given fractions.

LCM of 735,169 is 124215 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8732,5760

GCF of Fractions 8732/735,5760/169 is 4/124215

2 8732, 5760
2 4366, 2880
2183, 1440

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 8732,5760 By Matching Biggest Common Factor Method

Greatest Common Factor of 8732,5760 By Matching Biggest Common Factor Method

Factors of 8732

List of positive integer factors of 8732 that divides 8732 without a remainder.

1,2,4,37,59,74,118,148,236,2183,4366,8732

Factors of 5760

List of positive integer factors of 5760 that divides 5760 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,32,36,40,45,48,60,64,72,80,90,96,120,128,144,160,180,192,240,288,320,360,384,480,576,640,720,960,1152,1440,1920,2880,5760

Greatest Common Factor

We found the factors 8732,5760 . The biggest common factor number is the GCF number.
So the greatest common factor 8732,5760 is 4.

Lets's calculate LCM of 735,169

Given numbers has no common factors except 1. So, there LCM is their product i.e 124215

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/124215

Therefore, the GCF of Fractions 8732/735,5760/169 is 4/124215

Least Common Multiple of 735,169 with GCF Formula

Least Common Multiple of 735,169 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 735,169 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(735,169) = 1

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

GCF(735,169) x common factors =1 x 1 = 1

LCM(735,169) = ( 735 × 169 ) / 1

LCM(735,169) = 124215 / 1

LCM(735,169) = 124215


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 8732/735, 5760/169

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 8732/735, 5760/169?

Answer: GCF of Numerators as per given numbers 8732/735, 5760/169 is

GCF of Numerators i.e. for 8732,5760 is 4

LCM of denominators i.e. for 735,169 is 124215.

Thus, GCF of Fractions is 4/124215.Finally, GCF of Fractions for 8732/735, 5760/169 is 4/124215.