Greatest Common Factor of 3127/84, 5133/626

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 3127/84, 5133/626

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 3127/84,5133/626

Given fractions are 3127/84,5133/626

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 3127,5133

Greatest Common Factor of Numerators i.e. GCF of 3127,5133 is 59 .

LCM of Denominators means LCM of 84,626 as per the given fractions.

LCM of 84,626 is 26292 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3127,5133

GCF of Fractions 3127/84,5133/626 is 59/26292

59 3127, 5133
53, 87

∴ So the GCF of the given numbers is 59 = 59

Greatest Common Factor of 3127,5133 By Matching Biggest Common Factor Method

Greatest Common Factor of 3127,5133 By Matching Biggest Common Factor Method

Factors of 3127

List of positive integer factors of 3127 that divides 3127 without a remainder.

1,53,59,3127

Factors of 5133

List of positive integer factors of 5133 that divides 5133 without a remainder.

1,3,29,59,87,177,1711,5133

Greatest Common Factor

We found the factors 3127,5133 . The biggest common factor number is the GCF number.
So the greatest common factor 3127,5133 is 59.


Lets's calculate LCM of 84,626

2 84, 626
42, 313

∴ So the LCM of the given numbers is 2 x 42 x 313 = 26292

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 59/26292

Therefore, the GCF of Fractions 3127/84,5133/626 is 59/26292

Least Common Multiple of 84,626 with GCF Formula

Least Common Multiple of 84,626 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 84,626 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,626) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(84,626) x common factors =2 x 1 = 2

LCM(84,626) = ( 84 × 626 ) / 2

LCM(84,626) = 52584 / 2

LCM(84,626) = 26292


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 3127/84, 5133/626

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 3127/84, 5133/626?

Answer: GCF of Numerators as per given numbers 3127/84, 5133/626 is

GCF of Numerators i.e. for 3127,5133 is 59

LCM of denominators i.e. for 84,626 is 26292.

Thus, GCF of Fractions is 59/26292.Finally, GCF of Fractions for 3127/84, 5133/626 is 59/26292.