Greatest Common Factor of 279/61, 952/82, 278/338

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 279/61, 952/82, 278/338

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 279/61,952/82,278/338

Given fractions are 279/61,952/82,278/338

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 279,952,278

Greatest Common Factor of Numerators i.e. GCF of 279,952,278 is 1 .

LCM of Denominators means LCM of 61,82,338 as per the given fractions.

LCM of 61,82,338 is 845338 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 279,952,278

GCF of Fractions 279/61,952/82,278/338 is 1/845338

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

Greatest Common Factor of 279,952,278 By Matching Biggest Common Factor Method

Greatest Common Factor of 279,952,278 By Matching Biggest Common Factor Method

Factors of 279

List of positive integer factors of 279 that divides 279 without a remainder.

1,3,9,31,93,279

Factors of 952

List of positive integer factors of 952 that divides 952 without a remainder.

1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952

Factors of 278

List of positive integer factors of 278 that divides 278 without a remainder.

1,2,139,278

Greatest Common Factor

We found the factors 279,952,278 . The biggest common factor number is the GCF number.
So the greatest common factor 279,952,278 is 1.

Lets's calculate LCM of 61,82,338

2 61, 82, 338
61, 41, 169

∴ So the LCM of the given numbers is 2 x 61 x 41 x 169 = 845338

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/845338

Therefore, the GCF of Fractions 279/61,952/82,278/338 is 1/845338

Least Common Multiple of 61,82,338 with GCF Formula

Least Common Multiple of 61,82,338 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 61,82,338 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,82,338) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(61,82,338) x common factors =1 x 2 = 2

LCM(61,82,338) = ( 61 × 82 × 338 ) / 2

LCM(61,82,338) = 1690676 / 2

LCM(61,82,338) = 845338


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 279/61, 952/82, 278/338

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 279/61, 952/82, 278/338?

Answer: GCF of Numerators as per given numbers 279/61, 952/82, 278/338 is

GCF of Numerators i.e. for 279,952,278 is 1

LCM of denominators i.e. for 61,82,338 is 845338.

Thus, GCF of Fractions is 1/845338.Finally, GCF of Fractions for 279/61, 952/82, 278/338 is 1/845338.