Greatest Common Factor of 908/324, 189/878, 346/220

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 908/324, 189/878, 346/220

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 908/324,189/878,346/220

Given fractions are 908/324,189/878,346/220

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 908,189,346

Greatest Common Factor of Numerators i.e. GCF of 908,189,346 is 1 .

LCM of Denominators means LCM of 324,878,220 as per the given fractions.

LCM of 324,878,220 is 7822980 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 908,189,346

GCF of Fractions 908/324,189/878,346/220 is 1/7822980

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

Greatest Common Factor of 908,189,346 By Matching Biggest Common Factor Method

Greatest Common Factor of 908,189,346 By Matching Biggest Common Factor Method

Factors of 908

List of positive integer factors of 908 that divides 908 without a remainder.

1,2,4,227,454,908

Factors of 189

List of positive integer factors of 189 that divides 189 without a remainder.

1,3,7,9,21,27,63,189

Factors of 346

List of positive integer factors of 346 that divides 346 without a remainder.

1,2,173,346

Greatest Common Factor

We found the factors 908,189,346 . The biggest common factor number is the GCF number.
So the greatest common factor 908,189,346 is 1.

Lets's calculate LCM of 324,878,220

2 324, 878, 220
2 162, 439, 110
81, 439, 55

∴ So the LCM of the given numbers is 2 x 2 x 81 x 439 x 55 = 7822980

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7822980

Therefore, the GCF of Fractions 908/324,189/878,346/220 is 1/7822980

Least Common Multiple of 324,878,220 with GCF Formula

Least Common Multiple of 324,878,220 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 324,878,220 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(324,878,220) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(324,878,220) x common factors =2 x 4 = 8

LCM(324,878,220) = ( 324 × 878 × 220 ) / 8

LCM(324,878,220) = 62583840 / 8

LCM(324,878,220) = 7822980


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 908/324, 189/878, 346/220

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 908/324, 189/878, 346/220?

Answer: GCF of Numerators as per given numbers 908/324, 189/878, 346/220 is

GCF of Numerators i.e. for 908,189,346 is 1

LCM of denominators i.e. for 324,878,220 is 7822980.

Thus, GCF of Fractions is 1/7822980.Finally, GCF of Fractions for 908/324, 189/878, 346/220 is 1/7822980.