Greatest Common Factor of 8908/91, 9466/604

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8908/91, 9466/604

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 8908/91,9466/604

Given fractions are 8908/91,9466/604

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 8908,9466

Greatest Common Factor of Numerators i.e. GCF of 8908,9466 is 2 .

LCM of Denominators means LCM of 91,604 as per the given fractions.

LCM of 91,604 is 54964 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8908,9466

GCF of Fractions 8908/91,9466/604 is 2/54964

2 8908, 9466
4454, 4733

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 8908,9466 By Matching Biggest Common Factor Method

Greatest Common Factor of 8908,9466 By Matching Biggest Common Factor Method

Factors of 8908

List of positive integer factors of 8908 that divides 8908 without a remainder.

1,2,4,17,34,68,131,262,524,2227,4454,8908

Factors of 9466

List of positive integer factors of 9466 that divides 9466 without a remainder.

1,2,4733,9466

Greatest Common Factor

We found the factors 8908,9466 . The biggest common factor number is the GCF number.
So the greatest common factor 8908,9466 is 2.

Lets's calculate LCM of 91,604

Given numbers has no common factors except 1. So, there LCM is their product i.e 54964

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/54964

Therefore, the GCF of Fractions 8908/91,9466/604 is 2/54964

Least Common Multiple of 91,604 with GCF Formula

Least Common Multiple of 91,604 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 91,604 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,604) = 1

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

GCF(91,604) x common factors =1 x 1 = 1

LCM(91,604) = ( 91 × 604 ) / 1

LCM(91,604) = 54964 / 1

LCM(91,604) = 54964


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 8908/91, 9466/604

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 8908/91, 9466/604?

Answer: GCF of Numerators as per given numbers 8908/91, 9466/604 is

GCF of Numerators i.e. for 8908,9466 is 2

LCM of denominators i.e. for 91,604 is 54964.

Thus, GCF of Fractions is 2/54964.Finally, GCF of Fractions for 8908/91, 9466/604 is 2/54964.