Greatest Common Factor of 130/59, 2804/572

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 130/59, 2804/572

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 130/59,2804/572

Given fractions are 130/59,2804/572

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 130,2804

Greatest Common Factor of Numerators i.e. GCF of 130,2804 is 2 .

LCM of Denominators means LCM of 59,572 as per the given fractions.

LCM of 59,572 is 33748 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 130,2804

GCF of Fractions 130/59,2804/572 is 2/33748

2 130, 2804
65, 1402

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

Greatest Common Factor of 130,2804 By Matching Biggest Common Factor Method

Greatest Common Factor of 130,2804 By Matching Biggest Common Factor Method

Factors of 130

List of positive integer factors of 130 that divides 130 without a remainder.

1,2,5,10,13,26,65,130

Factors of 2804

List of positive integer factors of 2804 that divides 2804 without a remainder.

1,2,4,701,1402,2804

Greatest Common Factor

We found the factors 130,2804 . The biggest common factor number is the GCF number.
So the greatest common factor 130,2804 is 2.

Lets's calculate LCM of 59,572

Given numbers has no common factors except 1. So, there LCM is their product i.e 33748

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/33748

Therefore, the GCF of Fractions 130/59,2804/572 is 2/33748

Least Common Multiple of 59,572 with GCF Formula

Least Common Multiple of 59,572 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 59,572 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,572) = 1

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

GCF(59,572) x common factors =1 x 1 = 1

LCM(59,572) = ( 59 × 572 ) / 1

LCM(59,572) = 33748 / 1

LCM(59,572) = 33748


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 130/59, 2804/572

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 130/59, 2804/572?

Answer: GCF of Numerators as per given numbers 130/59, 2804/572 is

GCF of Numerators i.e. for 130,2804 is 2

LCM of denominators i.e. for 59,572 is 33748.

Thus, GCF of Fractions is 2/33748.Finally, GCF of Fractions for 130/59, 2804/572 is 2/33748.