Greatest Common Factor of 254/45, 770/30, 326/932

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 254/45, 770/30, 326/932

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 254/45,770/30,326/932

Given fractions are 254/45,770/30,326/932

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 254,770,326

Greatest Common Factor of Numerators i.e. GCF of 254,770,326 is 2 .

LCM of Denominators means LCM of 45,30,932 as per the given fractions.

LCM of 45,30,932 is 41940 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 254,770,326

GCF of Fractions 254/45,770/30,326/932 is 2/41940

2 254, 770, 326
127, 385, 163

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

Greatest Common Factor of 254,770,326 By Matching Biggest Common Factor Method

Greatest Common Factor of 254,770,326 By Matching Biggest Common Factor Method

Factors of 254

List of positive integer factors of 254 that divides 254 without a remainder.

1,2,127,254

Factors of 770

List of positive integer factors of 770 that divides 770 without a remainder.

1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770

Factors of 326

List of positive integer factors of 326 that divides 326 without a remainder.

1,2,163,326

Greatest Common Factor

We found the factors 254,770,326 . The biggest common factor number is the GCF number.
So the greatest common factor 254,770,326 is 2.

Lets's calculate LCM of 45,30,932

2 45, 30, 932
3 45, 15, 466
5 5, 15, 466
1, 3, 466

∴ So the LCM of the given numbers is 2 x 3 x 5 x 1 x 3 x 466 = 41940

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/41940

Therefore, the GCF of Fractions 254/45,770/30,326/932 is 2/41940

Least Common Multiple of 45,30,932 with GCF Formula

Least Common Multiple of 45,30,932 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 45,30,932 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,30,932) = 1

common factors(in case of two or more numbers have common factors) = 30

GCF(45,30,932) x common factors =1 x 30 = 30

LCM(45,30,932) = ( 45 × 30 × 932 ) / 30

LCM(45,30,932) = 1258200 / 30

LCM(45,30,932) = 41940


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 254/45, 770/30, 326/932

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 254/45, 770/30, 326/932?

Answer: GCF of Numerators as per given numbers 254/45, 770/30, 326/932 is

GCF of Numerators i.e. for 254,770,326 is 2

LCM of denominators i.e. for 45,30,932 is 41940.

Thus, GCF of Fractions is 2/41940.Finally, GCF of Fractions for 254/45, 770/30, 326/932 is 2/41940.