Greatest Common Factor of 9372/67, 4192/573

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9372/67, 4192/573

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 9372/67,4192/573

Given fractions are 9372/67,4192/573

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 9372,4192

Greatest Common Factor of Numerators i.e. GCF of 9372,4192 is 4 .

LCM of Denominators means LCM of 67,573 as per the given fractions.

LCM of 67,573 is 38391 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9372,4192

GCF of Fractions 9372/67,4192/573 is 4/38391

2 9372, 4192
2 4686, 2096
2343, 1048

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 9372,4192 By Matching Biggest Common Factor Method

Greatest Common Factor of 9372,4192 By Matching Biggest Common Factor Method

Factors of 9372

List of positive integer factors of 9372 that divides 9372 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,71,132,142,213,284,426,781,852,1562,2343,3124,4686,9372

Factors of 4192

List of positive integer factors of 4192 that divides 4192 without a remainder.

1,2,4,8,16,32,131,262,524,1048,2096,4192

Greatest Common Factor

We found the factors 9372,4192 . The biggest common factor number is the GCF number.
So the greatest common factor 9372,4192 is 4.

Lets's calculate LCM of 67,573

Given numbers has no common factors except 1. So, there LCM is their product i.e 38391

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/38391

Therefore, the GCF of Fractions 9372/67,4192/573 is 4/38391

Least Common Multiple of 67,573 with GCF Formula

Least Common Multiple of 67,573 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 67,573 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,573) = 1

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

GCF(67,573) x common factors =1 x 1 = 1

LCM(67,573) = ( 67 × 573 ) / 1

LCM(67,573) = 38391 / 1

LCM(67,573) = 38391


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 9372/67, 4192/573

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 9372/67, 4192/573?

Answer: GCF of Numerators as per given numbers 9372/67, 4192/573 is

GCF of Numerators i.e. for 9372,4192 is 4

LCM of denominators i.e. for 67,573 is 38391.

Thus, GCF of Fractions is 4/38391.Finally, GCF of Fractions for 9372/67, 4192/573 is 4/38391.