Greatest Common Factor of 7695/34, 3559/909

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7695/34, 3559/909

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 7695/34,3559/909

Given fractions are 7695/34,3559/909

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 7695,3559

Greatest Common Factor of Numerators i.e. GCF of 7695,3559 is 1 .

LCM of Denominators means LCM of 34,909 as per the given fractions.

LCM of 34,909 is 30906 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7695,3559

GCF of Fractions 7695/34,3559/909 is 1/30906

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

Greatest Common Factor of 7695,3559 By Matching Biggest Common Factor Method

Greatest Common Factor of 7695,3559 By Matching Biggest Common Factor Method

Factors of 7695

List of positive integer factors of 7695 that divides 7695 without a remainder.

1,3,5,9,15,19,27,45,57,81,95,135,171,285,405,513,855,1539,2565,7695

Factors of 3559

List of positive integer factors of 3559 that divides 3559 without a remainder.

1,3559

Greatest Common Factor

We found the factors 7695,3559 . The biggest common factor number is the GCF number.
So the greatest common factor 7695,3559 is 1.

Lets's calculate LCM of 34,909

Given numbers has no common factors except 1. So, there LCM is their product i.e 30906

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30906

Therefore, the GCF of Fractions 7695/34,3559/909 is 1/30906

Least Common Multiple of 34,909 with GCF Formula

Least Common Multiple of 34,909 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 34,909 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,909) = 1

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

GCF(34,909) x common factors =1 x 1 = 1

LCM(34,909) = ( 34 × 909 ) / 1

LCM(34,909) = 30906 / 1

LCM(34,909) = 30906


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 7695/34, 3559/909

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 7695/34, 3559/909?

Answer: GCF of Numerators as per given numbers 7695/34, 3559/909 is

GCF of Numerators i.e. for 7695,3559 is 1

LCM of denominators i.e. for 34,909 is 30906.

Thus, GCF of Fractions is 1/30906.Finally, GCF of Fractions for 7695/34, 3559/909 is 1/30906.