Greatest Common Factor of 4301/286, 5146/3364

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4301/286, 5146/3364

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 4301/286,5146/3364

Given fractions are 4301/286,5146/3364

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 4301,5146

Greatest Common Factor of Numerators i.e. GCF of 4301,5146 is 1 .

LCM of Denominators means LCM of 286,3364 as per the given fractions.

LCM of 286,3364 is 481052 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4301,5146

GCF of Fractions 4301/286,5146/3364 is 1/481052

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

Greatest Common Factor of 4301,5146 By Matching Biggest Common Factor Method

Greatest Common Factor of 4301,5146 By Matching Biggest Common Factor Method

Factors of 4301

List of positive integer factors of 4301 that divides 4301 without a remainder.

1,11,17,23,187,253,391,4301

Factors of 5146

List of positive integer factors of 5146 that divides 5146 without a remainder.

1,2,31,62,83,166,2573,5146

Greatest Common Factor

We found the factors 4301,5146 . The biggest common factor number is the GCF number.
So the greatest common factor 4301,5146 is 1.

Lets's calculate LCM of 286,3364

2 286, 3364
143, 1682

∴ So the LCM of the given numbers is 2 x 143 x 1682 = 481052

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/481052

Therefore, the GCF of Fractions 4301/286,5146/3364 is 1/481052

Least Common Multiple of 286,3364 with GCF Formula

Least Common Multiple of 286,3364 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 286,3364 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(286,3364) = 2

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

GCF(286,3364) x common factors =2 x 1 = 2

LCM(286,3364) = ( 286 × 3364 ) / 2

LCM(286,3364) = 962104 / 2

LCM(286,3364) = 481052


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 4301/286, 5146/3364

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 4301/286, 5146/3364?

Answer: GCF of Numerators as per given numbers 4301/286, 5146/3364 is

GCF of Numerators i.e. for 4301,5146 is 1

LCM of denominators i.e. for 286,3364 is 481052.

Thus, GCF of Fractions is 1/481052.Finally, GCF of Fractions for 4301/286, 5146/3364 is 1/481052.