Greatest Common Factor of 78/41, 896/72, 244/362

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 78/41, 896/72, 244/362

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 78/41,896/72,244/362

Given fractions are 78/41,896/72,244/362

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 78,896,244

Greatest Common Factor of Numerators i.e. GCF of 78,896,244 is 2 .

LCM of Denominators means LCM of 41,72,362 as per the given fractions.

LCM of 41,72,362 is 534312 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 78,896,244

GCF of Fractions 78/41,896/72,244/362 is 2/534312

2 78, 896, 244
39, 448, 122

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

Greatest Common Factor of 78,896,244 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,896,244 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 896

List of positive integer factors of 896 that divides 896 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896

Factors of 244

List of positive integer factors of 244 that divides 244 without a remainder.

1,2,4,61,122,244

Greatest Common Factor

We found the factors 78,896,244 . The biggest common factor number is the GCF number.
So the greatest common factor 78,896,244 is 2.

Lets's calculate LCM of 41,72,362

2 41, 72, 362
41, 36, 181

∴ So the LCM of the given numbers is 2 x 41 x 36 x 181 = 534312

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/534312

Therefore, the GCF of Fractions 78/41,896/72,244/362 is 2/534312

Least Common Multiple of 41,72,362 with GCF Formula

Least Common Multiple of 41,72,362 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 41,72,362 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,72,362) = 1

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

GCF(41,72,362) x common factors =1 x 2 = 2

LCM(41,72,362) = ( 41 × 72 × 362 ) / 2

LCM(41,72,362) = 1068624 / 2

LCM(41,72,362) = 534312


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 78/41, 896/72, 244/362

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 78/41, 896/72, 244/362?

Answer: GCF of Numerators as per given numbers 78/41, 896/72, 244/362 is

GCF of Numerators i.e. for 78,896,244 is 2

LCM of denominators i.e. for 41,72,362 is 534312.

Thus, GCF of Fractions is 2/534312.Finally, GCF of Fractions for 78/41, 896/72, 244/362 is 2/534312.