Greatest Common Factor of 4609/140, 3039/772

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4609/140, 3039/772

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 4609/140,3039/772

Given fractions are 4609/140,3039/772

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 4609,3039

Greatest Common Factor of Numerators i.e. GCF of 4609,3039 is 1 .

LCM of Denominators means LCM of 140,772 as per the given fractions.

LCM of 140,772 is 27020 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4609,3039

GCF of Fractions 4609/140,3039/772 is 1/27020

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

Greatest Common Factor of 4609,3039 By Matching Biggest Common Factor Method

Greatest Common Factor of 4609,3039 By Matching Biggest Common Factor Method

Factors of 4609

List of positive integer factors of 4609 that divides 4609 without a remainder.

1,11,419,4609

Factors of 3039

List of positive integer factors of 3039 that divides 3039 without a remainder.

1,3,1013,3039

Greatest Common Factor

We found the factors 4609,3039 . The biggest common factor number is the GCF number.
So the greatest common factor 4609,3039 is 1.

Lets's calculate LCM of 140,772

2 140, 772
2 70, 386
35, 193

∴ So the LCM of the given numbers is 2 x 2 x 35 x 193 = 27020

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27020

Therefore, the GCF of Fractions 4609/140,3039/772 is 1/27020

Least Common Multiple of 140,772 with GCF Formula

Least Common Multiple of 140,772 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 140,772 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(140,772) = 4

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

GCF(140,772) x common factors =4 x 1 = 4

LCM(140,772) = ( 140 × 772 ) / 4

LCM(140,772) = 108080 / 4

LCM(140,772) = 27020


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 4609/140, 3039/772

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 4609/140, 3039/772?

Answer: GCF of Numerators as per given numbers 4609/140, 3039/772 is

GCF of Numerators i.e. for 4609,3039 is 1

LCM of denominators i.e. for 140,772 is 27020.

Thus, GCF of Fractions is 1/27020.Finally, GCF of Fractions for 4609/140, 3039/772 is 1/27020.