Greatest Common Factor of 402/826, 8005/908

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 402/826, 8005/908

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 402/826,8005/908

Given fractions are 402/826,8005/908

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 402,8005

Greatest Common Factor of Numerators i.e. GCF of 402,8005 is 1 .

LCM of Denominators means LCM of 826,908 as per the given fractions.

LCM of 826,908 is 375004 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 402,8005

GCF of Fractions 402/826,8005/908 is 1/375004

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

Greatest Common Factor of 402,8005 By Matching Biggest Common Factor Method

Greatest Common Factor of 402,8005 By Matching Biggest Common Factor Method

Factors of 402

List of positive integer factors of 402 that divides 402 without a remainder.

1,2,3,6,67,134,201,402

Factors of 8005

List of positive integer factors of 8005 that divides 8005 without a remainder.

1,5,1601,8005

Greatest Common Factor

We found the factors 402,8005 . The biggest common factor number is the GCF number.
So the greatest common factor 402,8005 is 1.

Lets's calculate LCM of 826,908

2 826, 908
413, 454

∴ So the LCM of the given numbers is 2 x 413 x 454 = 375004

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/375004

Therefore, the GCF of Fractions 402/826,8005/908 is 1/375004

Least Common Multiple of 826,908 with GCF Formula

Least Common Multiple of 826,908 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 826,908 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(826,908) = 2

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

GCF(826,908) x common factors =2 x 1 = 2

LCM(826,908) = ( 826 × 908 ) / 2

LCM(826,908) = 750008 / 2

LCM(826,908) = 375004


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 402/826, 8005/908

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 402/826, 8005/908?

Answer: GCF of Numerators as per given numbers 402/826, 8005/908 is

GCF of Numerators i.e. for 402,8005 is 1

LCM of denominators i.e. for 826,908 is 375004.

Thus, GCF of Fractions is 1/375004.Finally, GCF of Fractions for 402/826, 8005/908 is 1/375004.