Greatest Common Factor of 879/42, 225/80, 755/468

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 879/42, 225/80, 755/468

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 879/42,225/80,755/468

Given fractions are 879/42,225/80,755/468

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 879,225,755

Greatest Common Factor of Numerators i.e. GCF of 879,225,755 is 1 .

LCM of Denominators means LCM of 42,80,468 as per the given fractions.

LCM of 42,80,468 is 65520 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 879,225,755

GCF of Fractions 879/42,225/80,755/468 is 1/65520

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

Greatest Common Factor of 879,225,755 By Matching Biggest Common Factor Method

Greatest Common Factor of 879,225,755 By Matching Biggest Common Factor Method

Factors of 879

List of positive integer factors of 879 that divides 879 without a remainder.

1,3,293,879

Factors of 225

List of positive integer factors of 225 that divides 225 without a remainder.

1,3,5,9,15,25,45,75,225

Factors of 755

List of positive integer factors of 755 that divides 755 without a remainder.

1,5,151,755

Greatest Common Factor

We found the factors 879,225,755 . The biggest common factor number is the GCF number.
So the greatest common factor 879,225,755 is 1.

Lets's calculate LCM of 42,80,468

2 42, 80, 468
2 21, 40, 234
3 21, 20, 117
7, 20, 39

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 20 x 39 = 65520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/65520

Therefore, the GCF of Fractions 879/42,225/80,755/468 is 1/65520

Least Common Multiple of 42,80,468 with GCF Formula

Least Common Multiple of 42,80,468 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 42,80,468 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,80,468) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(42,80,468) x common factors =2 x 12 = 24

LCM(42,80,468) = ( 42 × 80 × 468 ) / 24

LCM(42,80,468) = 1572480 / 24

LCM(42,80,468) = 65520


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 879/42, 225/80, 755/468

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 879/42, 225/80, 755/468?

Answer: GCF of Numerators as per given numbers 879/42, 225/80, 755/468 is

GCF of Numerators i.e. for 879,225,755 is 1

LCM of denominators i.e. for 42,80,468 is 65520.

Thus, GCF of Fractions is 1/65520.Finally, GCF of Fractions for 879/42, 225/80, 755/468 is 1/65520.