Greatest Common Factor of 2914/490, 3007/259

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2914/490, 3007/259

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 2914/490,3007/259

Given fractions are 2914/490,3007/259

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 2914,3007

Greatest Common Factor of Numerators i.e. GCF of 2914,3007 is 31 .

LCM of Denominators means LCM of 490,259 as per the given fractions.

LCM of 490,259 is 18130 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2914,3007

GCF of Fractions 2914/490,3007/259 is 31/18130

31 2914, 3007
94, 97

∴ So the GCF of the given numbers is 31 = 31

Greatest Common Factor of 2914,3007 By Matching Biggest Common Factor Method

Greatest Common Factor of 2914,3007 By Matching Biggest Common Factor Method

Factors of 2914

List of positive integer factors of 2914 that divides 2914 without a remainder.

1,2,31,47,62,94,1457,2914

Factors of 3007

List of positive integer factors of 3007 that divides 3007 without a remainder.

1,31,97,3007

Greatest Common Factor

We found the factors 2914,3007 . The biggest common factor number is the GCF number.
So the greatest common factor 2914,3007 is 31.

Lets's calculate LCM of 490,259

7 490, 259
70, 37

∴ So the LCM of the given numbers is 7 x 70 x 37 = 18130

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/18130

Therefore, the GCF of Fractions 2914/490,3007/259 is 31/18130

Least Common Multiple of 490,259 with GCF Formula

Least Common Multiple of 490,259 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 490,259 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(490,259) = 7

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

GCF(490,259) x common factors =7 x 1 = 7

LCM(490,259) = ( 490 × 259 ) / 7

LCM(490,259) = 126910 / 7

LCM(490,259) = 18130


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 2914/490, 3007/259

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 2914/490, 3007/259?

Answer: GCF of Numerators as per given numbers 2914/490, 3007/259 is

GCF of Numerators i.e. for 2914,3007 is 31

LCM of denominators i.e. for 490,259 is 18130.

Thus, GCF of Fractions is 31/18130.Finally, GCF of Fractions for 2914/490, 3007/259 is 31/18130.