Greatest Common Factor of 5851/129, 4627/306

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5851/129, 4627/306

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 5851/129,4627/306

Given fractions are 5851/129,4627/306

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 5851,4627

Greatest Common Factor of Numerators i.e. GCF of 5851,4627 is 1 .

LCM of Denominators means LCM of 129,306 as per the given fractions.

LCM of 129,306 is 13158 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5851,4627

GCF of Fractions 5851/129,4627/306 is 1/13158

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

Greatest Common Factor of 5851,4627 By Matching Biggest Common Factor Method

Greatest Common Factor of 5851,4627 By Matching Biggest Common Factor Method

Factors of 5851

List of positive integer factors of 5851 that divides 5851 without a remainder.

1,5851

Factors of 4627

List of positive integer factors of 4627 that divides 4627 without a remainder.

1,7,661,4627

Greatest Common Factor

We found the factors 5851,4627 . The biggest common factor number is the GCF number.
So the greatest common factor 5851,4627 is 1.

Lets's calculate LCM of 129,306

3 129, 306
43, 102

∴ So the LCM of the given numbers is 3 x 43 x 102 = 13158

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13158

Therefore, the GCF of Fractions 5851/129,4627/306 is 1/13158

Least Common Multiple of 129,306 with GCF Formula

Least Common Multiple of 129,306 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 129,306 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(129,306) = 3

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

GCF(129,306) x common factors =3 x 1 = 3

LCM(129,306) = ( 129 × 306 ) / 3

LCM(129,306) = 39474 / 3

LCM(129,306) = 13158


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 5851/129, 4627/306

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 5851/129, 4627/306?

Answer: GCF of Numerators as per given numbers 5851/129, 4627/306 is

GCF of Numerators i.e. for 5851,4627 is 1

LCM of denominators i.e. for 129,306 is 13158.

Thus, GCF of Fractions is 1/13158.Finally, GCF of Fractions for 5851/129, 4627/306 is 1/13158.