Greatest Common Factor of 3419/35, 7089/567

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3419/35, 7089/567

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 3419/35,7089/567

Given fractions are 3419/35,7089/567

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 3419,7089

Greatest Common Factor of Numerators i.e. GCF of 3419,7089 is 1 .

LCM of Denominators means LCM of 35,567 as per the given fractions.

LCM of 35,567 is 2835 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3419,7089

GCF of Fractions 3419/35,7089/567 is 1/2835

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

Greatest Common Factor of 3419,7089 By Matching Biggest Common Factor Method

Greatest Common Factor of 3419,7089 By Matching Biggest Common Factor Method

Factors of 3419

List of positive integer factors of 3419 that divides 3419 without a remainder.

1,13,263,3419

Factors of 7089

List of positive integer factors of 7089 that divides 7089 without a remainder.

1,3,17,51,139,417,2363,7089

Greatest Common Factor

We found the factors 3419,7089 . The biggest common factor number is the GCF number.
So the greatest common factor 3419,7089 is 1.

Lets's calculate LCM of 35,567

7 35, 567
5, 81

∴ So the LCM of the given numbers is 7 x 5 x 81 = 2835

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2835

Therefore, the GCF of Fractions 3419/35,7089/567 is 1/2835

Least Common Multiple of 35,567 with GCF Formula

Least Common Multiple of 35,567 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 35,567 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,567) = 7

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

GCF(35,567) x common factors =7 x 1 = 7

LCM(35,567) = ( 35 × 567 ) / 7

LCM(35,567) = 19845 / 7

LCM(35,567) = 2835


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 3419/35, 7089/567

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 3419/35, 7089/567?

Answer: GCF of Numerators as per given numbers 3419/35, 7089/567 is

GCF of Numerators i.e. for 3419,7089 is 1

LCM of denominators i.e. for 35,567 is 2835.

Thus, GCF of Fractions is 1/2835.Finally, GCF of Fractions for 3419/35, 7089/567 is 1/2835.