Greatest Common Factor of 4637/274, 3481/6416

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4637/274, 3481/6416

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 4637/274,3481/6416

Given fractions are 4637/274,3481/6416

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 4637,3481

Greatest Common Factor of Numerators i.e. GCF of 4637,3481 is 1 .

LCM of Denominators means LCM of 274,6416 as per the given fractions.

LCM of 274,6416 is 878992 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4637,3481

GCF of Fractions 4637/274,3481/6416 is 1/878992

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

Greatest Common Factor of 4637,3481 By Matching Biggest Common Factor Method

Greatest Common Factor of 4637,3481 By Matching Biggest Common Factor Method

Factors of 4637

List of positive integer factors of 4637 that divides 4637 without a remainder.

1,4637

Factors of 3481

List of positive integer factors of 3481 that divides 3481 without a remainder.

1,59,3481

Greatest Common Factor

We found the factors 4637,3481 . The biggest common factor number is the GCF number.
So the greatest common factor 4637,3481 is 1.

Lets's calculate LCM of 274,6416

2 274, 6416
137, 3208

∴ So the LCM of the given numbers is 2 x 137 x 3208 = 878992

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/878992

Therefore, the GCF of Fractions 4637/274,3481/6416 is 1/878992

Least Common Multiple of 274,6416 with GCF Formula

Least Common Multiple of 274,6416 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 274,6416 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(274,6416) = 2

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

GCF(274,6416) x common factors =2 x 1 = 2

LCM(274,6416) = ( 274 × 6416 ) / 2

LCM(274,6416) = 1757984 / 2

LCM(274,6416) = 878992


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 4637/274, 3481/6416

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 4637/274, 3481/6416?

Answer: GCF of Numerators as per given numbers 4637/274, 3481/6416 is

GCF of Numerators i.e. for 4637,3481 is 1

LCM of denominators i.e. for 274,6416 is 878992.

Thus, GCF of Fractions is 1/878992.Finally, GCF of Fractions for 4637/274, 3481/6416 is 1/878992.