Greatest Common Factor of 3127/834, 4558/6754

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3127/834, 4558/6754

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 3127/834,4558/6754

Given fractions are 3127/834,4558/6754

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 3127,4558

Greatest Common Factor of Numerators i.e. GCF of 3127,4558 is 53 .

LCM of Denominators means LCM of 834,6754 as per the given fractions.

LCM of 834,6754 is 2816418 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3127,4558

GCF of Fractions 3127/834,4558/6754 is 53/2816418

53 3127, 4558
59, 86

∴ So the GCF of the given numbers is 53 = 53

Greatest Common Factor of 3127,4558 By Matching Biggest Common Factor Method

Greatest Common Factor of 3127,4558 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 4558

List of positive integer factors of 4558 that divides 4558 without a remainder.

1,2,43,53,86,106,2279,4558

Greatest Common Factor

We found the factors 3127,4558 . The biggest common factor number is the GCF number.
So the greatest common factor 3127,4558 is 53.

Lets's calculate LCM of 834,6754

2 834, 6754
417, 3377

∴ So the LCM of the given numbers is 2 x 417 x 3377 = 2816418

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 53/2816418

Therefore, the GCF of Fractions 3127/834,4558/6754 is 53/2816418

Least Common Multiple of 834,6754 with GCF Formula

Least Common Multiple of 834,6754 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 834,6754 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(834,6754) = 2

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

GCF(834,6754) x common factors =2 x 1 = 2

LCM(834,6754) = ( 834 × 6754 ) / 2

LCM(834,6754) = 5632836 / 2

LCM(834,6754) = 2816418


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 3127/834, 4558/6754

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 3127/834, 4558/6754?

Answer: GCF of Numerators as per given numbers 3127/834, 4558/6754 is

GCF of Numerators i.e. for 3127,4558 is 53

LCM of denominators i.e. for 834,6754 is 2816418.

Thus, GCF of Fractions is 53/2816418.Finally, GCF of Fractions for 3127/834, 4558/6754 is 53/2816418.