Greatest Common Factor of 143/130, 5060/420

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 143/130, 5060/420

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 143/130,5060/420

Given fractions are 143/130,5060/420

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 143,5060

Greatest Common Factor of Numerators i.e. GCF of 143,5060 is 11 .

LCM of Denominators means LCM of 130,420 as per the given fractions.

LCM of 130,420 is 5460 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 143,5060

GCF of Fractions 143/130,5060/420 is 11/5460

11 143, 5060
13, 460

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 143,5060 By Matching Biggest Common Factor Method

Greatest Common Factor of 143,5060 By Matching Biggest Common Factor Method

Factors of 143

List of positive integer factors of 143 that divides 143 without a remainder.

1,11,13,143

Factors of 5060

List of positive integer factors of 5060 that divides 5060 without a remainder.

1,2,4,5,10,11,20,22,23,44,46,55,92,110,115,220,230,253,460,506,1012,1265,2530,5060

Greatest Common Factor

We found the factors 143,5060 . The biggest common factor number is the GCF number.
So the greatest common factor 143,5060 is 11.

Lets's calculate LCM of 130,420

2 130, 420
5 65, 210
13, 42

∴ So the LCM of the given numbers is 2 x 5 x 13 x 42 = 5460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/5460

Therefore, the GCF of Fractions 143/130,5060/420 is 11/5460

Least Common Multiple of 130,420 with GCF Formula

Least Common Multiple of 130,420 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 130,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(130,420) = 10

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

GCF(130,420) x common factors =10 x 1 = 10

LCM(130,420) = ( 130 × 420 ) / 10

LCM(130,420) = 54600 / 10

LCM(130,420) = 5460


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 143/130, 5060/420

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 143/130, 5060/420?

Answer: GCF of Numerators as per given numbers 143/130, 5060/420 is

GCF of Numerators i.e. for 143,5060 is 11

LCM of denominators i.e. for 130,420 is 5460.

Thus, GCF of Fractions is 11/5460.Finally, GCF of Fractions for 143/130, 5060/420 is 11/5460.