Greatest Common Factor of 5037/34, 4139/620

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5037/34, 4139/620

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 5037/34,4139/620

Given fractions are 5037/34,4139/620

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 5037,4139

Greatest Common Factor of Numerators i.e. GCF of 5037,4139 is 1 .

LCM of Denominators means LCM of 34,620 as per the given fractions.

LCM of 34,620 is 10540 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5037,4139

GCF of Fractions 5037/34,4139/620 is 1/10540

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

Greatest Common Factor of 5037,4139 By Matching Biggest Common Factor Method

Greatest Common Factor of 5037,4139 By Matching Biggest Common Factor Method

Factors of 5037

List of positive integer factors of 5037 that divides 5037 without a remainder.

1,3,23,69,73,219,1679,5037

Factors of 4139

List of positive integer factors of 4139 that divides 4139 without a remainder.

1,4139

Greatest Common Factor

We found the factors 5037,4139 . The biggest common factor number is the GCF number.
So the greatest common factor 5037,4139 is 1.

Lets's calculate LCM of 34,620

2 34, 620
17, 310

∴ So the LCM of the given numbers is 2 x 17 x 310 = 10540

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10540

Therefore, the GCF of Fractions 5037/34,4139/620 is 1/10540

Least Common Multiple of 34,620 with GCF Formula

Least Common Multiple of 34,620 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 34,620 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,620) = 2

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

GCF(34,620) x common factors =2 x 1 = 2

LCM(34,620) = ( 34 × 620 ) / 2

LCM(34,620) = 21080 / 2

LCM(34,620) = 10540


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 5037/34, 4139/620

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 5037/34, 4139/620?

Answer: GCF of Numerators as per given numbers 5037/34, 4139/620 is

GCF of Numerators i.e. for 5037,4139 is 1

LCM of denominators i.e. for 34,620 is 10540.

Thus, GCF of Fractions is 1/10540.Finally, GCF of Fractions for 5037/34, 4139/620 is 1/10540.