Greatest Common Factor of 72/77, 485/13, 309/854

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 72/77, 485/13, 309/854

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 72/77,485/13,309/854

Given fractions are 72/77,485/13,309/854

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 72,485,309

Greatest Common Factor of Numerators i.e. GCF of 72,485,309 is 1 .

LCM of Denominators means LCM of 77,13,854 as per the given fractions.

LCM of 77,13,854 is 122122 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 72,485,309

GCF of Fractions 72/77,485/13,309/854 is 1/122122

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

Greatest Common Factor of 72,485,309 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,485,309 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 485

List of positive integer factors of 485 that divides 485 without a remainder.

1,5,97,485

Factors of 309

List of positive integer factors of 309 that divides 309 without a remainder.

1,3,103,309

Greatest Common Factor

We found the factors 72,485,309 . The biggest common factor number is the GCF number.
So the greatest common factor 72,485,309 is 1.

Lets's calculate LCM of 77,13,854

7 77, 13, 854
11, 13, 122

∴ So the LCM of the given numbers is 7 x 11 x 13 x 122 = 122122

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/122122

Therefore, the GCF of Fractions 72/77,485/13,309/854 is 1/122122

Least Common Multiple of 77,13,854 with GCF Formula

Least Common Multiple of 77,13,854 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 77,13,854 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,13,854) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(77,13,854) x common factors =1 x 7 = 7

LCM(77,13,854) = ( 77 × 13 × 854 ) / 7

LCM(77,13,854) = 854854 / 7

LCM(77,13,854) = 122122


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 72/77, 485/13, 309/854

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 72/77, 485/13, 309/854?

Answer: GCF of Numerators as per given numbers 72/77, 485/13, 309/854 is

GCF of Numerators i.e. for 72,485,309 is 1

LCM of denominators i.e. for 77,13,854 is 122122.

Thus, GCF of Fractions is 1/122122.Finally, GCF of Fractions for 72/77, 485/13, 309/854 is 1/122122.