Greatest Common Factor of 468/928, 1539/8800

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 468/928, 1539/8800

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 468/928,1539/8800

Given fractions are 468/928,1539/8800

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 468,1539

Greatest Common Factor of Numerators i.e. GCF of 468,1539 is 9 .

LCM of Denominators means LCM of 928,8800 as per the given fractions.

LCM of 928,8800 is 255200 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 468,1539

GCF of Fractions 468/928,1539/8800 is 9/255200

3 468, 1539
3 156, 513
52, 171

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 468,1539 By Matching Biggest Common Factor Method

Greatest Common Factor of 468,1539 By Matching Biggest Common Factor Method

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Factors of 1539

List of positive integer factors of 1539 that divides 1539 without a remainder.

1,3,9,19,27,57,81,171,513,1539

Greatest Common Factor

We found the factors 468,1539 . The biggest common factor number is the GCF number.
So the greatest common factor 468,1539 is 9.

Lets's calculate LCM of 928,8800

2 928, 8800
2 464, 4400
2 232, 2200
2 116, 1100
2 58, 550
29, 275

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 29 x 275 = 255200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/255200

Therefore, the GCF of Fractions 468/928,1539/8800 is 9/255200

Least Common Multiple of 928,8800 with GCF Formula

Least Common Multiple of 928,8800 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 928,8800 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(928,8800) = 32

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

GCF(928,8800) x common factors =32 x 1 = 32

LCM(928,8800) = ( 928 × 8800 ) / 32

LCM(928,8800) = 8166400 / 32

LCM(928,8800) = 255200


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 468/928, 1539/8800

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 468/928, 1539/8800?

Answer: GCF of Numerators as per given numbers 468/928, 1539/8800 is

GCF of Numerators i.e. for 468,1539 is 9

LCM of denominators i.e. for 928,8800 is 255200.

Thus, GCF of Fractions is 9/255200.Finally, GCF of Fractions for 468/928, 1539/8800 is 9/255200.