Greatest Common Factor of 909/8346, 559/7606

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 909/8346, 559/7606

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 909/8346,559/7606

Given fractions are 909/8346,559/7606

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 909,559

Greatest Common Factor of Numerators i.e. GCF of 909,559 is 1 .

LCM of Denominators means LCM of 8346,7606 as per the given fractions.

LCM of 8346,7606 is 31739838 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 909,559

GCF of Fractions 909/8346,559/7606 is 1/31739838

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

Greatest Common Factor of 909,559 By Matching Biggest Common Factor Method

Greatest Common Factor of 909,559 By Matching Biggest Common Factor Method

Factors of 909

List of positive integer factors of 909 that divides 909 without a remainder.

1,3,9,101,303,909

Factors of 559

List of positive integer factors of 559 that divides 559 without a remainder.

1,13,43,559

Greatest Common Factor

We found the factors 909,559 . The biggest common factor number is the GCF number.
So the greatest common factor 909,559 is 1.

Lets's calculate LCM of 8346,7606

2 8346, 7606
4173, 3803

∴ So the LCM of the given numbers is 2 x 4173 x 3803 = 31739838

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31739838

Therefore, the GCF of Fractions 909/8346,559/7606 is 1/31739838

Least Common Multiple of 8346,7606 with GCF Formula

Least Common Multiple of 8346,7606 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 8346,7606 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8346,7606) = 2

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

GCF(8346,7606) x common factors =2 x 1 = 2

LCM(8346,7606) = ( 8346 × 7606 ) / 2

LCM(8346,7606) = 63479676 / 2

LCM(8346,7606) = 31739838


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 909/8346, 559/7606

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 909/8346, 559/7606?

Answer: GCF of Numerators as per given numbers 909/8346, 559/7606 is

GCF of Numerators i.e. for 909,559 is 1

LCM of denominators i.e. for 8346,7606 is 31739838.

Thus, GCF of Fractions is 1/31739838.Finally, GCF of Fractions for 909/8346, 559/7606 is 1/31739838.