Greatest Common Factor of 79/91, 32/74, 14/76, 55/610

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 79/91, 32/74, 14/76, 55/610

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 79/91,32/74,14/76,55/610

Given fractions are 79/91,32/74,14/76,55/610

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 79,32,14,55

Greatest Common Factor of Numerators i.e. GCF of 79,32,14,55 is 1 .

LCM of Denominators means LCM of 91,74,76,610 as per the given fractions.

LCM of 91,74,76,610 is 78047060 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 79,32,14,55

GCF of Fractions 79/91,32/74,14/76,55/610 is 1/78047060

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

Greatest Common Factor of 79,32,14,55 By Matching Biggest Common Factor Method

Greatest Common Factor of 79,32,14,55 By Matching Biggest Common Factor Method

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Greatest Common Factor

We found the factors 79,32,14,55 . The biggest common factor number is the GCF number.
So the greatest common factor 79,32,14,55 is 1.

Lets's calculate LCM of 91,74,76,610

2 91, 74, 76, 610
91, 37, 38, 305

∴ So the LCM of the given numbers is 2 x 91 x 37 x 38 x 305 = 78047060

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/78047060

Therefore, the GCF of Fractions 79/91,32/74,14/76,55/610 is 1/78047060

Least Common Multiple of 91,74,76,610 with GCF Formula

Least Common Multiple of 91,74,76,610 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 91,74,76,610 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,74,76,610) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(91,74,76,610) x common factors =1 x 4 = 4

LCM(91,74,76,610) = ( 91 × 74 × 76 × 610 ) / 4

LCM(91,74,76,610) = 312188240 / 4

LCM(91,74,76,610) = 78047060


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 79/91, 32/74, 14/76, 55/610

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 79/91, 32/74, 14/76, 55/610?

Answer: GCF of Numerators as per given numbers 79/91, 32/74, 14/76, 55/610 is

GCF of Numerators i.e. for 79,32,14,55 is 1

LCM of denominators i.e. for 91,74,76,610 is 78047060.

Thus, GCF of Fractions is 1/78047060.Finally, GCF of Fractions for 79/91, 32/74, 14/76, 55/610 is 1/78047060.