Greatest Common Factor of 127/79, 743/33, 131/462

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 127/79, 743/33, 131/462

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 127/79,743/33,131/462

Given fractions are 127/79,743/33,131/462

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 127,743,131

Greatest Common Factor of Numerators i.e. GCF of 127,743,131 is 1 .

LCM of Denominators means LCM of 79,33,462 as per the given fractions.

LCM of 79,33,462 is 36498 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 127,743,131

GCF of Fractions 127/79,743/33,131/462 is 1/36498

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

Greatest Common Factor of 127,743,131 By Matching Biggest Common Factor Method

Greatest Common Factor of 127,743,131 By Matching Biggest Common Factor Method

Factors of 127

List of positive integer factors of 127 that divides 127 without a remainder.

1,127

Factors of 743

List of positive integer factors of 743 that divides 743 without a remainder.

1,743

Factors of 131

List of positive integer factors of 131 that divides 131 without a remainder.

1,131

Greatest Common Factor

We found the factors 127,743,131 . The biggest common factor number is the GCF number.
So the greatest common factor 127,743,131 is 1.

Lets's calculate LCM of 79,33,462

3 79, 33, 462
11 79, 11, 154
79, 1, 14

∴ So the LCM of the given numbers is 3 x 11 x 79 x 1 x 14 = 36498

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36498

Therefore, the GCF of Fractions 127/79,743/33,131/462 is 1/36498

Least Common Multiple of 79,33,462 with GCF Formula

Least Common Multiple of 79,33,462 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 79,33,462 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,33,462) = 1

common factors(in case of two or more numbers have common factors) = 33

GCF(79,33,462) x common factors =1 x 33 = 33

LCM(79,33,462) = ( 79 × 33 × 462 ) / 33

LCM(79,33,462) = 1204434 / 33

LCM(79,33,462) = 36498


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 127/79, 743/33, 131/462

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 127/79, 743/33, 131/462?

Answer: GCF of Numerators as per given numbers 127/79, 743/33, 131/462 is

GCF of Numerators i.e. for 127,743,131 is 1

LCM of denominators i.e. for 79,33,462 is 36498.

Thus, GCF of Fractions is 1/36498.Finally, GCF of Fractions for 127/79, 743/33, 131/462 is 1/36498.