Greatest Common Factor of 9146/808, 6322/222

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9146/808, 6322/222

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 9146/808,6322/222

Given fractions are 9146/808,6322/222

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 9146,6322

Greatest Common Factor of Numerators i.e. GCF of 9146,6322 is 2 .

LCM of Denominators means LCM of 808,222 as per the given fractions.

LCM of 808,222 is 89688 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9146,6322

GCF of Fractions 9146/808,6322/222 is 2/89688

2 9146, 6322
4573, 3161

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

Greatest Common Factor of 9146,6322 By Matching Biggest Common Factor Method

Greatest Common Factor of 9146,6322 By Matching Biggest Common Factor Method

Factors of 9146

List of positive integer factors of 9146 that divides 9146 without a remainder.

1,2,17,34,269,538,4573,9146

Factors of 6322

List of positive integer factors of 6322 that divides 6322 without a remainder.

1,2,29,58,109,218,3161,6322

Greatest Common Factor

We found the factors 9146,6322 . The biggest common factor number is the GCF number.
So the greatest common factor 9146,6322 is 2.

Lets's calculate LCM of 808,222

2 808, 222
404, 111

∴ So the LCM of the given numbers is 2 x 404 x 111 = 89688

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/89688

Therefore, the GCF of Fractions 9146/808,6322/222 is 2/89688

Least Common Multiple of 808,222 with GCF Formula

Least Common Multiple of 808,222 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 808,222 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(808,222) = 2

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

GCF(808,222) x common factors =2 x 1 = 2

LCM(808,222) = ( 808 × 222 ) / 2

LCM(808,222) = 179376 / 2

LCM(808,222) = 89688


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 9146/808, 6322/222

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 9146/808, 6322/222?

Answer: GCF of Numerators as per given numbers 9146/808, 6322/222 is

GCF of Numerators i.e. for 9146,6322 is 2

LCM of denominators i.e. for 808,222 is 89688.

Thus, GCF of Fractions is 2/89688.Finally, GCF of Fractions for 9146/808, 6322/222 is 2/89688.