Greatest Common Factor of 61/294, 39/779, 655/948

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 61/294, 39/779, 655/948

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 61/294,39/779,655/948

Given fractions are 61/294,39/779,655/948

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 61,39,655

Greatest Common Factor of Numerators i.e. GCF of 61,39,655 is 1 .

LCM of Denominators means LCM of 294,779,948 as per the given fractions.

LCM of 294,779,948 is 36186108 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 61,39,655

GCF of Fractions 61/294,39/779,655/948 is 1/36186108

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

Greatest Common Factor of 61,39,655 By Matching Biggest Common Factor Method

Greatest Common Factor of 61,39,655 By Matching Biggest Common Factor Method

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 655

List of positive integer factors of 655 that divides 655 without a remainder.

1,5,131,655

Greatest Common Factor

We found the factors 61,39,655 . The biggest common factor number is the GCF number.
So the greatest common factor 61,39,655 is 1.

Lets's calculate LCM of 294,779,948

2 294, 779, 948
3 147, 779, 474
49, 779, 158

∴ So the LCM of the given numbers is 2 x 3 x 49 x 779 x 158 = 36186108

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36186108

Therefore, the GCF of Fractions 61/294,39/779,655/948 is 1/36186108

Least Common Multiple of 294,779,948 with GCF Formula

Least Common Multiple of 294,779,948 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 294,779,948 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(294,779,948) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(294,779,948) x common factors =1 x 6 = 6

LCM(294,779,948) = ( 294 × 779 × 948 ) / 6

LCM(294,779,948) = 217116648 / 6

LCM(294,779,948) = 36186108


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 61/294, 39/779, 655/948

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 61/294, 39/779, 655/948?

Answer: GCF of Numerators as per given numbers 61/294, 39/779, 655/948 is

GCF of Numerators i.e. for 61,39,655 is 1

LCM of denominators i.e. for 294,779,948 is 36186108.

Thus, GCF of Fractions is 1/36186108.Finally, GCF of Fractions for 61/294, 39/779, 655/948 is 1/36186108.