Greatest Common Factor of 8760/19, 5064/461

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8760/19, 5064/461

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 8760/19,5064/461

Given fractions are 8760/19,5064/461

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 8760,5064

Greatest Common Factor of Numerators i.e. GCF of 8760,5064 is 24 .

LCM of Denominators means LCM of 19,461 as per the given fractions.

LCM of 19,461 is 8759 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8760,5064

GCF of Fractions 8760/19,5064/461 is 24/8759

2 8760, 5064
2 4380, 2532
2 2190, 1266
3 1095, 633
365, 211

∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24

Greatest Common Factor of 8760,5064 By Matching Biggest Common Factor Method

Greatest Common Factor of 8760,5064 By Matching Biggest Common Factor Method

Factors of 8760

List of positive integer factors of 8760 that divides 8760 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,73,120,146,219,292,365,438,584,730,876,1095,1460,1752,2190,2920,4380,8760

Factors of 5064

List of positive integer factors of 5064 that divides 5064 without a remainder.

1,2,3,4,6,8,12,24,211,422,633,844,1266,1688,2532,5064

Greatest Common Factor

We found the factors 8760,5064 . The biggest common factor number is the GCF number.
So the greatest common factor 8760,5064 is 24.

Lets's calculate LCM of 19,461

Given numbers has no common factors except 1. So, there LCM is their product i.e 8759

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/8759

Therefore, the GCF of Fractions 8760/19,5064/461 is 24/8759

Least Common Multiple of 19,461 with GCF Formula

Least Common Multiple of 19,461 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 19,461 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,461) = 1

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

GCF(19,461) x common factors =1 x 1 = 1

LCM(19,461) = ( 19 × 461 ) / 1

LCM(19,461) = 8759 / 1

LCM(19,461) = 8759


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 8760/19, 5064/461

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 8760/19, 5064/461?

Answer: GCF of Numerators as per given numbers 8760/19, 5064/461 is

GCF of Numerators i.e. for 8760,5064 is 24

LCM of denominators i.e. for 19,461 is 8759.

Thus, GCF of Fractions is 24/8759.Finally, GCF of Fractions for 8760/19, 5064/461 is 24/8759.