Greatest Common Factor of 6649/61, 3924/409

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6649/61, 3924/409

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 6649/61,3924/409

Given fractions are 6649/61,3924/409

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 6649,3924

Greatest Common Factor of Numerators i.e. GCF of 6649,3924 is 109 .

LCM of Denominators means LCM of 61,409 as per the given fractions.

LCM of 61,409 is 24949 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6649,3924

GCF of Fractions 6649/61,3924/409 is 109/24949

109 6649, 3924
61, 36

∴ So the GCF of the given numbers is 109 = 109

Greatest Common Factor of 6649,3924 By Matching Biggest Common Factor Method

Greatest Common Factor of 6649,3924 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 3924

List of positive integer factors of 3924 that divides 3924 without a remainder.

1,2,3,4,6,9,12,18,36,109,218,327,436,654,981,1308,1962,3924

Greatest Common Factor

We found the factors 6649,3924 . The biggest common factor number is the GCF number.
So the greatest common factor 6649,3924 is 109.

Lets's calculate LCM of 61,409

Given numbers has no common factors except 1. So, there LCM is their product i.e 24949

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 109/24949

Therefore, the GCF of Fractions 6649/61,3924/409 is 109/24949

Least Common Multiple of 61,409 with GCF Formula

Least Common Multiple of 61,409 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 61,409 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,409) = 1

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

GCF(61,409) x common factors =1 x 1 = 1

LCM(61,409) = ( 61 × 409 ) / 1

LCM(61,409) = 24949 / 1

LCM(61,409) = 24949


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 6649/61, 3924/409

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 6649/61, 3924/409?

Answer: GCF of Numerators as per given numbers 6649/61, 3924/409 is

GCF of Numerators i.e. for 6649,3924 is 109

LCM of denominators i.e. for 61,409 is 24949.

Thus, GCF of Fractions is 109/24949.Finally, GCF of Fractions for 6649/61, 3924/409 is 109/24949.