Greatest Common Factor of 5008/41, 6476/535

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5008/41, 6476/535

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 5008/41,6476/535

Given fractions are 5008/41,6476/535

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 5008,6476

Greatest Common Factor of Numerators i.e. GCF of 5008,6476 is 4 .

LCM of Denominators means LCM of 41,535 as per the given fractions.

LCM of 41,535 is 21935 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5008,6476

GCF of Fractions 5008/41,6476/535 is 4/21935

2 5008, 6476
2 2504, 3238
1252, 1619

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 5008,6476 By Matching Biggest Common Factor Method

Greatest Common Factor of 5008,6476 By Matching Biggest Common Factor Method

Factors of 5008

List of positive integer factors of 5008 that divides 5008 without a remainder.

1,2,4,8,16,313,626,1252,2504,5008

Factors of 6476

List of positive integer factors of 6476 that divides 6476 without a remainder.

1,2,4,1619,3238,6476

Greatest Common Factor

We found the factors 5008,6476 . The biggest common factor number is the GCF number.
So the greatest common factor 5008,6476 is 4.

Lets's calculate LCM of 41,535

Given numbers has no common factors except 1. So, there LCM is their product i.e 21935

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/21935

Therefore, the GCF of Fractions 5008/41,6476/535 is 4/21935

Least Common Multiple of 41,535 with GCF Formula

Least Common Multiple of 41,535 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 41,535 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,535) = 1

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

GCF(41,535) x common factors =1 x 1 = 1

LCM(41,535) = ( 41 × 535 ) / 1

LCM(41,535) = 21935 / 1

LCM(41,535) = 21935


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 5008/41, 6476/535

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 5008/41, 6476/535?

Answer: GCF of Numerators as per given numbers 5008/41, 6476/535 is

GCF of Numerators i.e. for 5008,6476 is 4

LCM of denominators i.e. for 41,535 is 21935.

Thus, GCF of Fractions is 4/21935.Finally, GCF of Fractions for 5008/41, 6476/535 is 4/21935.