Greatest Common Factor of 9188/35, 8426/922

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9188/35, 8426/922

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 9188/35,8426/922

Given fractions are 9188/35,8426/922

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 9188,8426

Greatest Common Factor of Numerators i.e. GCF of 9188,8426 is 2 .

LCM of Denominators means LCM of 35,922 as per the given fractions.

LCM of 35,922 is 32270 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9188,8426

GCF of Fractions 9188/35,8426/922 is 2/32270

2 9188, 8426
4594, 4213

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

Greatest Common Factor of 9188,8426 By Matching Biggest Common Factor Method

Greatest Common Factor of 9188,8426 By Matching Biggest Common Factor Method

Factors of 9188

List of positive integer factors of 9188 that divides 9188 without a remainder.

1,2,4,2297,4594,9188

Factors of 8426

List of positive integer factors of 8426 that divides 8426 without a remainder.

1,2,11,22,383,766,4213,8426

Greatest Common Factor

We found the factors 9188,8426 . The biggest common factor number is the GCF number.
So the greatest common factor 9188,8426 is 2.

Lets's calculate LCM of 35,922

Given numbers has no common factors except 1. So, there LCM is their product i.e 32270

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/32270

Therefore, the GCF of Fractions 9188/35,8426/922 is 2/32270

Least Common Multiple of 35,922 with GCF Formula

Least Common Multiple of 35,922 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 35,922 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,922) = 1

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

GCF(35,922) x common factors =1 x 1 = 1

LCM(35,922) = ( 35 × 922 ) / 1

LCM(35,922) = 32270 / 1

LCM(35,922) = 32270


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 9188/35, 8426/922

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 9188/35, 8426/922?

Answer: GCF of Numerators as per given numbers 9188/35, 8426/922 is

GCF of Numerators i.e. for 9188,8426 is 2

LCM of denominators i.e. for 35,922 is 32270.

Thus, GCF of Fractions is 2/32270.Finally, GCF of Fractions for 9188/35, 8426/922 is 2/32270.