Greatest Common Factor of 5878/842, 7970/2290

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5878/842, 7970/2290

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 5878/842,7970/2290

Given fractions are 5878/842,7970/2290

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 5878,7970

Greatest Common Factor of Numerators i.e. GCF of 5878,7970 is 2 .

LCM of Denominators means LCM of 842,2290 as per the given fractions.

LCM of 842,2290 is 964090 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5878,7970

GCF of Fractions 5878/842,7970/2290 is 2/964090

2 5878, 7970
2939, 3985

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

Greatest Common Factor of 5878,7970 By Matching Biggest Common Factor Method

Greatest Common Factor of 5878,7970 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 7970

List of positive integer factors of 7970 that divides 7970 without a remainder.

1,2,5,10,797,1594,3985,7970

Greatest Common Factor

We found the factors 5878,7970 . The biggest common factor number is the GCF number.
So the greatest common factor 5878,7970 is 2.

Lets's calculate LCM of 842,2290

2 842, 2290
421, 1145

∴ So the LCM of the given numbers is 2 x 421 x 1145 = 964090

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/964090

Therefore, the GCF of Fractions 5878/842,7970/2290 is 2/964090

Least Common Multiple of 842,2290 with GCF Formula

Least Common Multiple of 842,2290 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 842,2290 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(842,2290) = 2

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

GCF(842,2290) x common factors =2 x 1 = 2

LCM(842,2290) = ( 842 × 2290 ) / 2

LCM(842,2290) = 1928180 / 2

LCM(842,2290) = 964090


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 5878/842, 7970/2290

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 5878/842, 7970/2290?

Answer: GCF of Numerators as per given numbers 5878/842, 7970/2290 is

GCF of Numerators i.e. for 5878,7970 is 2

LCM of denominators i.e. for 842,2290 is 964090.

Thus, GCF of Fractions is 2/964090.Finally, GCF of Fractions for 5878/842, 7970/2290 is 2/964090.