Greatest Common Factor of 6021/109, 3112/4969

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6021/109, 3112/4969

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 6021/109,3112/4969

Given fractions are 6021/109,3112/4969

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 6021,3112

Greatest Common Factor of Numerators i.e. GCF of 6021,3112 is 1 .

LCM of Denominators means LCM of 109,4969 as per the given fractions.

LCM of 109,4969 is 541621 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6021,3112

GCF of Fractions 6021/109,3112/4969 is 1/541621

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

Greatest Common Factor of 6021,3112 By Matching Biggest Common Factor Method

Greatest Common Factor of 6021,3112 By Matching Biggest Common Factor Method

Factors of 6021

List of positive integer factors of 6021 that divides 6021 without a remainder.

1,3,9,27,223,669,2007,6021

Factors of 3112

List of positive integer factors of 3112 that divides 3112 without a remainder.

1,2,4,8,389,778,1556,3112

Greatest Common Factor

We found the factors 6021,3112 . The biggest common factor number is the GCF number.
So the greatest common factor 6021,3112 is 1.

Lets's calculate LCM of 109,4969

Given numbers has no common factors except 1. So, there LCM is their product i.e 541621

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/541621

Therefore, the GCF of Fractions 6021/109,3112/4969 is 1/541621

Least Common Multiple of 109,4969 with GCF Formula

Least Common Multiple of 109,4969 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 109,4969 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(109,4969) = 1

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

GCF(109,4969) x common factors =1 x 1 = 1

LCM(109,4969) = ( 109 × 4969 ) / 1

LCM(109,4969) = 541621 / 1

LCM(109,4969) = 541621


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 6021/109, 3112/4969

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 6021/109, 3112/4969?

Answer: GCF of Numerators as per given numbers 6021/109, 3112/4969 is

GCF of Numerators i.e. for 6021,3112 is 1

LCM of denominators i.e. for 109,4969 is 541621.

Thus, GCF of Fractions is 1/541621.Finally, GCF of Fractions for 6021/109, 3112/4969 is 1/541621.