Greatest Common Factor of 12/77, 82/84, 249/107

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 12/77, 82/84, 249/107

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 12/77,82/84,249/107

Given fractions are 12/77,82/84,249/107

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 12,82,249

Greatest Common Factor of Numerators i.e. GCF of 12,82,249 is 1 .

LCM of Denominators means LCM of 77,84,107 as per the given fractions.

LCM of 77,84,107 is 98868 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 12,82,249

GCF of Fractions 12/77,82/84,249/107 is 1/98868

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

Greatest Common Factor of 12,82,249 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,82,249 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 249

List of positive integer factors of 249 that divides 249 without a remainder.

1,3,83,249

Greatest Common Factor

We found the factors 12,82,249 . The biggest common factor number is the GCF number.
So the greatest common factor 12,82,249 is 1.

Lets's calculate LCM of 77,84,107

7 77, 84, 107
11, 12, 107

∴ So the LCM of the given numbers is 7 x 11 x 12 x 107 = 98868

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/98868

Therefore, the GCF of Fractions 12/77,82/84,249/107 is 1/98868

Least Common Multiple of 77,84,107 with GCF Formula

Least Common Multiple of 77,84,107 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 77,84,107 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,84,107) = 1

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

GCF(77,84,107) x common factors =1 x 7 = 7

LCM(77,84,107) = ( 77 × 84 × 107 ) / 7

LCM(77,84,107) = 692076 / 7

LCM(77,84,107) = 98868


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 12/77, 82/84, 249/107

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 12/77, 82/84, 249/107?

Answer: GCF of Numerators as per given numbers 12/77, 82/84, 249/107 is

GCF of Numerators i.e. for 12,82,249 is 1

LCM of denominators i.e. for 77,84,107 is 98868.

Thus, GCF of Fractions is 1/98868.Finally, GCF of Fractions for 12/77, 82/84, 249/107 is 1/98868.