Greatest Common Factor of 9228/202, 6942/3397

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9228/202, 6942/3397

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 9228/202,6942/3397

Given fractions are 9228/202,6942/3397

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 9228,6942

Greatest Common Factor of Numerators i.e. GCF of 9228,6942 is 6 .

LCM of Denominators means LCM of 202,3397 as per the given fractions.

LCM of 202,3397 is 686194 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9228,6942

GCF of Fractions 9228/202,6942/3397 is 6/686194

2 9228, 6942
3 4614, 3471
1538, 1157

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 9228,6942 By Matching Biggest Common Factor Method

Greatest Common Factor of 9228,6942 By Matching Biggest Common Factor Method

Factors of 9228

List of positive integer factors of 9228 that divides 9228 without a remainder.

1,2,3,4,6,12,769,1538,2307,3076,4614,9228

Factors of 6942

List of positive integer factors of 6942 that divides 6942 without a remainder.

1,2,3,6,13,26,39,78,89,178,267,534,1157,2314,3471,6942

Greatest Common Factor

We found the factors 9228,6942 . The biggest common factor number is the GCF number.
So the greatest common factor 9228,6942 is 6.

Lets's calculate LCM of 202,3397

Given numbers has no common factors except 1. So, there LCM is their product i.e 686194

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/686194

Therefore, the GCF of Fractions 9228/202,6942/3397 is 6/686194

Least Common Multiple of 202,3397 with GCF Formula

Least Common Multiple of 202,3397 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 202,3397 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(202,3397) = 1

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

GCF(202,3397) x common factors =1 x 1 = 1

LCM(202,3397) = ( 202 × 3397 ) / 1

LCM(202,3397) = 686194 / 1

LCM(202,3397) = 686194


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 9228/202, 6942/3397

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 9228/202, 6942/3397?

Answer: GCF of Numerators as per given numbers 9228/202, 6942/3397 is

GCF of Numerators i.e. for 9228,6942 is 6

LCM of denominators i.e. for 202,3397 is 686194.

Thus, GCF of Fractions is 6/686194.Finally, GCF of Fractions for 9228/202, 6942/3397 is 6/686194.