Greatest Common Factor of 136/77, 394/22, 758/71

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 136/77, 394/22, 758/71

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 136/77,394/22,758/71

Given fractions are 136/77,394/22,758/71

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 136,394,758

Greatest Common Factor of Numerators i.e. GCF of 136,394,758 is 2 .

LCM of Denominators means LCM of 77,22,71 as per the given fractions.

LCM of 77,22,71 is 10934 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 136,394,758

GCF of Fractions 136/77,394/22,758/71 is 2/10934

2 136, 394, 758
68, 197, 379

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

Greatest Common Factor of 136,394,758 By Matching Biggest Common Factor Method

Greatest Common Factor of 136,394,758 By Matching Biggest Common Factor Method

Factors of 136

List of positive integer factors of 136 that divides 136 without a remainder.

1,2,4,8,17,34,68,136

Factors of 394

List of positive integer factors of 394 that divides 394 without a remainder.

1,2,197,394

Factors of 758

List of positive integer factors of 758 that divides 758 without a remainder.

1,2,379,758

Greatest Common Factor

We found the factors 136,394,758 . The biggest common factor number is the GCF number.
So the greatest common factor 136,394,758 is 2.

Lets's calculate LCM of 77,22,71

11 77, 22, 71
7, 2, 71

∴ So the LCM of the given numbers is 11 x 7 x 2 x 71 = 10934

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/10934

Therefore, the GCF of Fractions 136/77,394/22,758/71 is 2/10934

Least Common Multiple of 77,22,71 with GCF Formula

Least Common Multiple of 77,22,71 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 77,22,71 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,22,71) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(77,22,71) x common factors =1 x 11 = 11

LCM(77,22,71) = ( 77 × 22 × 71 ) / 11

LCM(77,22,71) = 120274 / 11

LCM(77,22,71) = 10934


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 136/77, 394/22, 758/71

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 136/77, 394/22, 758/71?

Answer: GCF of Numerators as per given numbers 136/77, 394/22, 758/71 is

GCF of Numerators i.e. for 136,394,758 is 2

LCM of denominators i.e. for 77,22,71 is 10934.

Thus, GCF of Fractions is 2/10934.Finally, GCF of Fractions for 136/77, 394/22, 758/71 is 2/10934.