Greatest Common Factor of 5878/72, 7930/490

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5878/72, 7930/490

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 5878/72,7930/490

Given fractions are 5878/72,7930/490

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 5878,7930

Greatest Common Factor of Numerators i.e. GCF of 5878,7930 is 2 .

LCM of Denominators means LCM of 72,490 as per the given fractions.

LCM of 72,490 is 17640 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5878,7930

GCF of Fractions 5878/72,7930/490 is 2/17640

2 5878, 7930
2939, 3965

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

Greatest Common Factor of 5878,7930 By Matching Biggest Common Factor Method

Greatest Common Factor of 5878,7930 By Matching Biggest Common Factor Method

Factors of 5878

List of positive integer factors of 5878 that divides 5878 without a remainder.

1,2,2939,5878

Factors of 7930

List of positive integer factors of 7930 that divides 7930 without a remainder.

1,2,5,10,13,26,61,65,122,130,305,610,793,1586,3965,7930

Greatest Common Factor

We found the factors 5878,7930 . The biggest common factor number is the GCF number.
So the greatest common factor 5878,7930 is 2.

Lets's calculate LCM of 72,490

2 72, 490
36, 245

∴ So the LCM of the given numbers is 2 x 36 x 245 = 17640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/17640

Therefore, the GCF of Fractions 5878/72,7930/490 is 2/17640

Least Common Multiple of 72,490 with GCF Formula

Least Common Multiple of 72,490 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 72,490 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,490) = 2

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

GCF(72,490) x common factors =2 x 1 = 2

LCM(72,490) = ( 72 × 490 ) / 2

LCM(72,490) = 35280 / 2

LCM(72,490) = 17640


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 5878/72, 7930/490

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 5878/72, 7930/490?

Answer: GCF of Numerators as per given numbers 5878/72, 7930/490 is

GCF of Numerators i.e. for 5878,7930 is 2

LCM of denominators i.e. for 72,490 is 17640.

Thus, GCF of Fractions is 2/17640.Finally, GCF of Fractions for 5878/72, 7930/490 is 2/17640.