Greatest Common Factor of 3084/565, 9079/7049

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3084/565, 9079/7049

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 3084/565,9079/7049

Given fractions are 3084/565,9079/7049

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 3084,9079

Greatest Common Factor of Numerators i.e. GCF of 3084,9079 is 1 .

LCM of Denominators means LCM of 565,7049 as per the given fractions.

LCM of 565,7049 is 3982685 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3084,9079

GCF of Fractions 3084/565,9079/7049 is 1/3982685

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

Greatest Common Factor of 3084,9079 By Matching Biggest Common Factor Method

Greatest Common Factor of 3084,9079 By Matching Biggest Common Factor Method

Factors of 3084

List of positive integer factors of 3084 that divides 3084 without a remainder.

1,2,3,4,6,12,257,514,771,1028,1542,3084

Factors of 9079

List of positive integer factors of 9079 that divides 9079 without a remainder.

1,7,1297,9079

Greatest Common Factor

We found the factors 3084,9079 . The biggest common factor number is the GCF number.
So the greatest common factor 3084,9079 is 1.

Lets's calculate LCM of 565,7049

Given numbers has no common factors except 1. So, there LCM is their product i.e 3982685

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3982685

Therefore, the GCF of Fractions 3084/565,9079/7049 is 1/3982685

Least Common Multiple of 565,7049 with GCF Formula

Least Common Multiple of 565,7049 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 565,7049 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(565,7049) = 1

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

GCF(565,7049) x common factors =1 x 1 = 1

LCM(565,7049) = ( 565 × 7049 ) / 1

LCM(565,7049) = 3982685 / 1

LCM(565,7049) = 3982685


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 3084/565, 9079/7049

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 3084/565, 9079/7049?

Answer: GCF of Numerators as per given numbers 3084/565, 9079/7049 is

GCF of Numerators i.e. for 3084,9079 is 1

LCM of denominators i.e. for 565,7049 is 3982685.

Thus, GCF of Fractions is 1/3982685.Finally, GCF of Fractions for 3084/565, 9079/7049 is 1/3982685.