Greatest Common Factor of 6565/74, 3866/998

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6565/74, 3866/998

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 6565/74,3866/998

Given fractions are 6565/74,3866/998

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 6565,3866

Greatest Common Factor of Numerators i.e. GCF of 6565,3866 is 1 .

LCM of Denominators means LCM of 74,998 as per the given fractions.

LCM of 74,998 is 36926 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6565,3866

GCF of Fractions 6565/74,3866/998 is 1/36926

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

Greatest Common Factor of 6565,3866 By Matching Biggest Common Factor Method

Greatest Common Factor of 6565,3866 By Matching Biggest Common Factor Method

Factors of 6565

List of positive integer factors of 6565 that divides 6565 without a remainder.

1,5,13,65,101,505,1313,6565

Factors of 3866

List of positive integer factors of 3866 that divides 3866 without a remainder.

1,2,1933,3866

Greatest Common Factor

We found the factors 6565,3866 . The biggest common factor number is the GCF number.
So the greatest common factor 6565,3866 is 1.

Lets's calculate LCM of 74,998

2 74, 998
37, 499

∴ So the LCM of the given numbers is 2 x 37 x 499 = 36926

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36926

Therefore, the GCF of Fractions 6565/74,3866/998 is 1/36926

Least Common Multiple of 74,998 with GCF Formula

Least Common Multiple of 74,998 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 74,998 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,998) = 2

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

GCF(74,998) x common factors =2 x 1 = 2

LCM(74,998) = ( 74 × 998 ) / 2

LCM(74,998) = 73852 / 2

LCM(74,998) = 36926


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 6565/74, 3866/998

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 6565/74, 3866/998?

Answer: GCF of Numerators as per given numbers 6565/74, 3866/998 is

GCF of Numerators i.e. for 6565,3866 is 1

LCM of denominators i.e. for 74,998 is 36926.

Thus, GCF of Fractions is 1/36926.Finally, GCF of Fractions for 6565/74, 3866/998 is 1/36926.