Greatest Common Factor of 107/26, 756/33, 374/299

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 107/26, 756/33, 374/299

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 107/26,756/33,374/299

Given fractions are 107/26,756/33,374/299

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 107,756,374

Greatest Common Factor of Numerators i.e. GCF of 107,756,374 is 1 .

LCM of Denominators means LCM of 26,33,299 as per the given fractions.

LCM of 26,33,299 is 19734 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 107,756,374

GCF of Fractions 107/26,756/33,374/299 is 1/19734

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

Greatest Common Factor of 107,756,374 By Matching Biggest Common Factor Method

Greatest Common Factor of 107,756,374 By Matching Biggest Common Factor Method

Factors of 107

List of positive integer factors of 107 that divides 107 without a remainder.

1,107

Factors of 756

List of positive integer factors of 756 that divides 756 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Factors of 374

List of positive integer factors of 374 that divides 374 without a remainder.

1,2,11,17,22,34,187,374

Greatest Common Factor

We found the factors 107,756,374 . The biggest common factor number is the GCF number.
So the greatest common factor 107,756,374 is 1.

Lets's calculate LCM of 26,33,299

13 26, 33, 299
2, 33, 23

∴ So the LCM of the given numbers is 13 x 2 x 33 x 23 = 19734

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19734

Therefore, the GCF of Fractions 107/26,756/33,374/299 is 1/19734

Least Common Multiple of 26,33,299 with GCF Formula

Least Common Multiple of 26,33,299 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 26,33,299 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,33,299) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(26,33,299) x common factors =1 x 13 = 13

LCM(26,33,299) = ( 26 × 33 × 299 ) / 13

LCM(26,33,299) = 256542 / 13

LCM(26,33,299) = 19734


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 107/26, 756/33, 374/299

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 107/26, 756/33, 374/299?

Answer: GCF of Numerators as per given numbers 107/26, 756/33, 374/299 is

GCF of Numerators i.e. for 107,756,374 is 1

LCM of denominators i.e. for 26,33,299 is 19734.

Thus, GCF of Fractions is 1/19734.Finally, GCF of Fractions for 107/26, 756/33, 374/299 is 1/19734.