Greatest Common Factor of 5125/260, 4219/4137

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5125/260, 4219/4137

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 5125/260,4219/4137

Given fractions are 5125/260,4219/4137

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 5125,4219

Greatest Common Factor of Numerators i.e. GCF of 5125,4219 is 1 .

LCM of Denominators means LCM of 260,4137 as per the given fractions.

LCM of 260,4137 is 1075620 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5125,4219

GCF of Fractions 5125/260,4219/4137 is 1/1075620

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 5125,4219 By Matching Biggest Common Factor Method

Greatest Common Factor of 5125,4219 By Matching Biggest Common Factor Method

Factors of 5125

List of positive integer factors of 5125 that divides 5125 without a remainder.

1,5,25,41,125,205,1025,5125

Factors of 4219

List of positive integer factors of 4219 that divides 4219 without a remainder.

1,4219

Greatest Common Factor

We found the factors 5125,4219 . The biggest common factor number is the GCF number.
So the greatest common factor 5125,4219 is 1.

Lets's calculate LCM of 260,4137

Given numbers has no common factors except 1. So, there LCM is their product i.e 1075620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1075620

Therefore, the GCF of Fractions 5125/260,4219/4137 is 1/1075620

Least Common Multiple of 260,4137 with GCF Formula

Least Common Multiple of 260,4137 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 260,4137 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(260,4137) = 1

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

GCF(260,4137) x common factors =1 x 1 = 1

LCM(260,4137) = ( 260 × 4137 ) / 1

LCM(260,4137) = 1075620 / 1

LCM(260,4137) = 1075620


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 5125/260, 4219/4137

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 5125/260, 4219/4137?

Answer: GCF of Numerators as per given numbers 5125/260, 4219/4137 is

GCF of Numerators i.e. for 5125,4219 is 1

LCM of denominators i.e. for 260,4137 is 1075620.

Thus, GCF of Fractions is 1/1075620.Finally, GCF of Fractions for 5125/260, 4219/4137 is 1/1075620.