Greatest Common Factor of 3637/418, 7616/2918

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3637/418, 7616/2918

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 3637/418,7616/2918

Given fractions are 3637/418,7616/2918

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 3637,7616

Greatest Common Factor of Numerators i.e. GCF of 3637,7616 is 1 .

LCM of Denominators means LCM of 418,2918 as per the given fractions.

LCM of 418,2918 is 609862 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3637,7616

GCF of Fractions 3637/418,7616/2918 is 1/609862

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

Greatest Common Factor of 3637,7616 By Matching Biggest Common Factor Method

Greatest Common Factor of 3637,7616 By Matching Biggest Common Factor Method

Factors of 3637

List of positive integer factors of 3637 that divides 3637 without a remainder.

1,3637

Factors of 7616

List of positive integer factors of 7616 that divides 7616 without a remainder.

1,2,4,7,8,14,16,17,28,32,34,56,64,68,112,119,136,224,238,272,448,476,544,952,1088,1904,3808,7616

Greatest Common Factor

We found the factors 3637,7616 . The biggest common factor number is the GCF number.
So the greatest common factor 3637,7616 is 1.

Lets's calculate LCM of 418,2918

2 418, 2918
209, 1459

∴ So the LCM of the given numbers is 2 x 209 x 1459 = 609862

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/609862

Therefore, the GCF of Fractions 3637/418,7616/2918 is 1/609862

Least Common Multiple of 418,2918 with GCF Formula

Least Common Multiple of 418,2918 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 418,2918 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(418,2918) = 2

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

GCF(418,2918) x common factors =2 x 1 = 2

LCM(418,2918) = ( 418 × 2918 ) / 2

LCM(418,2918) = 1219724 / 2

LCM(418,2918) = 609862


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 3637/418, 7616/2918

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 3637/418, 7616/2918?

Answer: GCF of Numerators as per given numbers 3637/418, 7616/2918 is

GCF of Numerators i.e. for 3637,7616 is 1

LCM of denominators i.e. for 418,2918 is 609862.

Thus, GCF of Fractions is 1/609862.Finally, GCF of Fractions for 3637/418, 7616/2918 is 1/609862.