Greatest Common Factor of 6649/54, 9691/743

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6649/54, 9691/743

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 6649/54,9691/743

Given fractions are 6649/54,9691/743

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 6649,9691

Greatest Common Factor of Numerators i.e. GCF of 6649,9691 is 1 .

LCM of Denominators means LCM of 54,743 as per the given fractions.

LCM of 54,743 is 40122 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6649,9691

GCF of Fractions 6649/54,9691/743 is 1/40122

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

Greatest Common Factor of 6649,9691 By Matching Biggest Common Factor Method

Greatest Common Factor of 6649,9691 By Matching Biggest Common Factor Method

Factors of 6649

List of positive integer factors of 6649 that divides 6649 without a remainder.

1,61,109,6649

Factors of 9691

List of positive integer factors of 9691 that divides 9691 without a remainder.

1,11,881,9691

Greatest Common Factor

We found the factors 6649,9691 . The biggest common factor number is the GCF number.
So the greatest common factor 6649,9691 is 1.

Lets's calculate LCM of 54,743

Given numbers has no common factors except 1. So, there LCM is their product i.e 40122

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40122

Therefore, the GCF of Fractions 6649/54,9691/743 is 1/40122

Least Common Multiple of 54,743 with GCF Formula

Least Common Multiple of 54,743 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 54,743 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,743) = 1

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

GCF(54,743) x common factors =1 x 1 = 1

LCM(54,743) = ( 54 × 743 ) / 1

LCM(54,743) = 40122 / 1

LCM(54,743) = 40122


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 6649/54, 9691/743

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 6649/54, 9691/743?

Answer: GCF of Numerators as per given numbers 6649/54, 9691/743 is

GCF of Numerators i.e. for 6649,9691 is 1

LCM of denominators i.e. for 54,743 is 40122.

Thus, GCF of Fractions is 1/40122.Finally, GCF of Fractions for 6649/54, 9691/743 is 1/40122.