Greatest Common Factor of 7634/41, 2893/919

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7634/41, 2893/919

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 7634/41,2893/919

Given fractions are 7634/41,2893/919

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 7634,2893

Greatest Common Factor of Numerators i.e. GCF of 7634,2893 is 11 .

LCM of Denominators means LCM of 41,919 as per the given fractions.

LCM of 41,919 is 37679 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7634,2893

GCF of Fractions 7634/41,2893/919 is 11/37679

11 7634, 2893
694, 263

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 7634,2893 By Matching Biggest Common Factor Method

Greatest Common Factor of 7634,2893 By Matching Biggest Common Factor Method

Factors of 7634

List of positive integer factors of 7634 that divides 7634 without a remainder.

1,2,11,22,347,694,3817,7634

Factors of 2893

List of positive integer factors of 2893 that divides 2893 without a remainder.

1,11,263,2893

Greatest Common Factor

We found the factors 7634,2893 . The biggest common factor number is the GCF number.
So the greatest common factor 7634,2893 is 11.

Lets's calculate LCM of 41,919

Given numbers has no common factors except 1. So, there LCM is their product i.e 37679

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/37679

Therefore, the GCF of Fractions 7634/41,2893/919 is 11/37679

Least Common Multiple of 41,919 with GCF Formula

Least Common Multiple of 41,919 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 41,919 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,919) = 1

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

GCF(41,919) x common factors =1 x 1 = 1

LCM(41,919) = ( 41 × 919 ) / 1

LCM(41,919) = 37679 / 1

LCM(41,919) = 37679


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 7634/41, 2893/919

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 7634/41, 2893/919?

Answer: GCF of Numerators as per given numbers 7634/41, 2893/919 is

GCF of Numerators i.e. for 7634,2893 is 11

LCM of denominators i.e. for 41,919 is 37679.

Thus, GCF of Fractions is 11/37679.Finally, GCF of Fractions for 7634/41, 2893/919 is 11/37679.