Greatest Common Factor of 41/78, 91/44, 189/246

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 41/78, 91/44, 189/246

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 41/78,91/44,189/246

Given fractions are 41/78,91/44,189/246

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 41,91,189

Greatest Common Factor of Numerators i.e. GCF of 41,91,189 is 1 .

LCM of Denominators means LCM of 78,44,246 as per the given fractions.

LCM of 78,44,246 is 70356 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 41,91,189

GCF of Fractions 41/78,91/44,189/246 is 1/70356

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

Greatest Common Factor of 41,91,189 By Matching Biggest Common Factor Method

Greatest Common Factor of 41,91,189 By Matching Biggest Common Factor Method

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 189

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

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

Greatest Common Factor

We found the factors 41,91,189 . The biggest common factor number is the GCF number.
So the greatest common factor 41,91,189 is 1.

Lets's calculate LCM of 78,44,246

2 78, 44, 246
3 39, 22, 123
13, 22, 41

∴ So the LCM of the given numbers is 2 x 3 x 13 x 22 x 41 = 70356

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/70356

Therefore, the GCF of Fractions 41/78,91/44,189/246 is 1/70356

Least Common Multiple of 78,44,246 with GCF Formula

Least Common Multiple of 78,44,246 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 78,44,246 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,44,246) = 2

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

GCF(78,44,246) x common factors =2 x 6 = 12

LCM(78,44,246) = ( 78 × 44 × 246 ) / 12

LCM(78,44,246) = 844272 / 12

LCM(78,44,246) = 70356


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 41/78, 91/44, 189/246

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 41/78, 91/44, 189/246?

Answer: GCF of Numerators as per given numbers 41/78, 91/44, 189/246 is

GCF of Numerators i.e. for 41,91,189 is 1

LCM of denominators i.e. for 78,44,246 is 70356.

Thus, GCF of Fractions is 1/70356.Finally, GCF of Fractions for 41/78, 91/44, 189/246 is 1/70356.