Greatest Common Factor of 4910/854, 3005/748

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4910/854, 3005/748

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 4910/854,3005/748

Given fractions are 4910/854,3005/748

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 4910,3005

Greatest Common Factor of Numerators i.e. GCF of 4910,3005 is 5 .

LCM of Denominators means LCM of 854,748 as per the given fractions.

LCM of 854,748 is 319396 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4910,3005

GCF of Fractions 4910/854,3005/748 is 5/319396

5 4910, 3005
982, 601

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 4910,3005 By Matching Biggest Common Factor Method

Greatest Common Factor of 4910,3005 By Matching Biggest Common Factor Method

Factors of 4910

List of positive integer factors of 4910 that divides 4910 without a remainder.

1,2,5,10,491,982,2455,4910

Factors of 3005

List of positive integer factors of 3005 that divides 3005 without a remainder.

1,5,601,3005

Greatest Common Factor

We found the factors 4910,3005 . The biggest common factor number is the GCF number.
So the greatest common factor 4910,3005 is 5.

Lets's calculate LCM of 854,748

2 854, 748
427, 374

∴ So the LCM of the given numbers is 2 x 427 x 374 = 319396

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/319396

Therefore, the GCF of Fractions 4910/854,3005/748 is 5/319396

Least Common Multiple of 854,748 with GCF Formula

Least Common Multiple of 854,748 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 854,748 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(854,748) = 2

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

GCF(854,748) x common factors =2 x 1 = 2

LCM(854,748) = ( 854 × 748 ) / 2

LCM(854,748) = 638792 / 2

LCM(854,748) = 319396


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 4910/854, 3005/748

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 4910/854, 3005/748?

Answer: GCF of Numerators as per given numbers 4910/854, 3005/748 is

GCF of Numerators i.e. for 4910,3005 is 5

LCM of denominators i.e. for 854,748 is 319396.

Thus, GCF of Fractions is 5/319396.Finally, GCF of Fractions for 4910/854, 3005/748 is 5/319396.