Greatest Common Factor of 9226/85, 6688/347

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9226/85, 6688/347

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 9226/85,6688/347

Given fractions are 9226/85,6688/347

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 9226,6688

Greatest Common Factor of Numerators i.e. GCF of 9226,6688 is 2 .

LCM of Denominators means LCM of 85,347 as per the given fractions.

LCM of 85,347 is 29495 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9226,6688

GCF of Fractions 9226/85,6688/347 is 2/29495

2 9226, 6688
4613, 3344

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

Greatest Common Factor of 9226,6688 By Matching Biggest Common Factor Method

Greatest Common Factor of 9226,6688 By Matching Biggest Common Factor Method

Factors of 9226

List of positive integer factors of 9226 that divides 9226 without a remainder.

1,2,7,14,659,1318,4613,9226

Factors of 6688

List of positive integer factors of 6688 that divides 6688 without a remainder.

1,2,4,8,11,16,19,22,32,38,44,76,88,152,176,209,304,352,418,608,836,1672,3344,6688

Greatest Common Factor

We found the factors 9226,6688 . The biggest common factor number is the GCF number.
So the greatest common factor 9226,6688 is 2.

Lets's calculate LCM of 85,347

Given numbers has no common factors except 1. So, there LCM is their product i.e 29495

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/29495

Therefore, the GCF of Fractions 9226/85,6688/347 is 2/29495

Least Common Multiple of 85,347 with GCF Formula

Least Common Multiple of 85,347 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 85,347 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,347) = 1

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

GCF(85,347) x common factors =1 x 1 = 1

LCM(85,347) = ( 85 × 347 ) / 1

LCM(85,347) = 29495 / 1

LCM(85,347) = 29495


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 9226/85, 6688/347

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 9226/85, 6688/347?

Answer: GCF of Numerators as per given numbers 9226/85, 6688/347 is

GCF of Numerators i.e. for 9226,6688 is 2

LCM of denominators i.e. for 85,347 is 29495.

Thus, GCF of Fractions is 2/29495.Finally, GCF of Fractions for 9226/85, 6688/347 is 2/29495.