Greatest Common Factor of 5103/91, 3677/149

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5103/91, 3677/149

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 5103/91,3677/149

Given fractions are 5103/91,3677/149

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 5103,3677

Greatest Common Factor of Numerators i.e. GCF of 5103,3677 is 1 .

LCM of Denominators means LCM of 91,149 as per the given fractions.

LCM of 91,149 is 13559 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5103,3677

GCF of Fractions 5103/91,3677/149 is 1/13559

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

Greatest Common Factor of 5103,3677 By Matching Biggest Common Factor Method

Greatest Common Factor of 5103,3677 By Matching Biggest Common Factor Method

Factors of 5103

List of positive integer factors of 5103 that divides 5103 without a remainder.

1,3,7,9,21,27,63,81,189,243,567,729,1701,5103

Factors of 3677

List of positive integer factors of 3677 that divides 3677 without a remainder.

1,3677

Greatest Common Factor

We found the factors 5103,3677 . The biggest common factor number is the GCF number.
So the greatest common factor 5103,3677 is 1.

Lets's calculate LCM of 91,149

Given numbers has no common factors except 1. So, there LCM is their product i.e 13559

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13559

Therefore, the GCF of Fractions 5103/91,3677/149 is 1/13559

Least Common Multiple of 91,149 with GCF Formula

Least Common Multiple of 91,149 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 91,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,149) = 1

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

GCF(91,149) x common factors =1 x 1 = 1

LCM(91,149) = ( 91 × 149 ) / 1

LCM(91,149) = 13559 / 1

LCM(91,149) = 13559


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 5103/91, 3677/149

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 5103/91, 3677/149?

Answer: GCF of Numerators as per given numbers 5103/91, 3677/149 is

GCF of Numerators i.e. for 5103,3677 is 1

LCM of denominators i.e. for 91,149 is 13559.

Thus, GCF of Fractions is 1/13559.Finally, GCF of Fractions for 5103/91, 3677/149 is 1/13559.