Greatest Common Factor of 36/35, 92/21, 26/70, 78/649

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 36/35, 92/21, 26/70, 78/649

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 36/35,92/21,26/70,78/649

Given fractions are 36/35,92/21,26/70,78/649

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 36,92,26,78

Greatest Common Factor of Numerators i.e. GCF of 36,92,26,78 is 2 .

LCM of Denominators means LCM of 35,21,70,649 as per the given fractions.

LCM of 35,21,70,649 is 136290 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 36,92,26,78

GCF of Fractions 36/35,92/21,26/70,78/649 is 2/136290

2 36, 92, 26, 78
18, 46, 13, 39

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

Greatest Common Factor of 36,92,26,78 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,92,26,78 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 78

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

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

Greatest Common Factor

We found the factors 36,92,26,78 . The biggest common factor number is the GCF number.
So the greatest common factor 36,92,26,78 is 2.

Lets's calculate LCM of 35,21,70,649

5 35, 21, 70, 649
7 7, 21, 14, 649
1, 3, 2, 649

∴ So the LCM of the given numbers is 5 x 7 x 1 x 3 x 2 x 649 = 136290

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/136290

Therefore, the GCF of Fractions 36/35,92/21,26/70,78/649 is 2/136290

Least Common Multiple of 35,21,70,649 with GCF Formula

Least Common Multiple of 35,21,70,649 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 35,21,70,649 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,21,70,649) = 1

common factors(in case of two or more numbers have common factors) = 245

GCF(35,21,70,649) x common factors =1 x 245 = 245

LCM(35,21,70,649) = ( 35 × 21 × 70 × 649 ) / 245

LCM(35,21,70,649) = 33391050 / 245

LCM(35,21,70,649) = 136290


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 36/35, 92/21, 26/70, 78/649

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 36/35, 92/21, 26/70, 78/649?

Answer: GCF of Numerators as per given numbers 36/35, 92/21, 26/70, 78/649 is

GCF of Numerators i.e. for 36,92,26,78 is 2

LCM of denominators i.e. for 35,21,70,649 is 136290.

Thus, GCF of Fractions is 2/136290.Finally, GCF of Fractions for 36/35, 92/21, 26/70, 78/649 is 2/136290.