Greatest Common Factor of 5343/78, 9522/222

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5343/78, 9522/222

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 5343/78,9522/222

Given fractions are 5343/78,9522/222

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 5343,9522

Greatest Common Factor of Numerators i.e. GCF of 5343,9522 is 3 .

LCM of Denominators means LCM of 78,222 as per the given fractions.

LCM of 78,222 is 2886 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5343,9522

GCF of Fractions 5343/78,9522/222 is 3/2886

3 5343, 9522
1781, 3174

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 5343,9522 By Matching Biggest Common Factor Method

Greatest Common Factor of 5343,9522 By Matching Biggest Common Factor Method

Factors of 5343

List of positive integer factors of 5343 that divides 5343 without a remainder.

1,3,13,39,137,411,1781,5343

Factors of 9522

List of positive integer factors of 9522 that divides 9522 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414,529,1058,1587,3174,4761,9522

Greatest Common Factor

We found the factors 5343,9522 . The biggest common factor number is the GCF number.
So the greatest common factor 5343,9522 is 3.

Lets's calculate LCM of 78,222

2 78, 222
3 39, 111
13, 37

∴ So the LCM of the given numbers is 2 x 3 x 13 x 37 = 2886

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2886

Therefore, the GCF of Fractions 5343/78,9522/222 is 3/2886

Least Common Multiple of 78,222 with GCF Formula

Least Common Multiple of 78,222 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 78,222 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,222) = 6

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

GCF(78,222) x common factors =6 x 1 = 6

LCM(78,222) = ( 78 × 222 ) / 6

LCM(78,222) = 17316 / 6

LCM(78,222) = 2886


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 5343/78, 9522/222

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 5343/78, 9522/222?

Answer: GCF of Numerators as per given numbers 5343/78, 9522/222 is

GCF of Numerators i.e. for 5343,9522 is 3

LCM of denominators i.e. for 78,222 is 2886.

Thus, GCF of Fractions is 3/2886.Finally, GCF of Fractions for 5343/78, 9522/222 is 3/2886.