Greatest Common Factor of 7673/31, 5494/192

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7673/31, 5494/192

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 7673/31,5494/192

Given fractions are 7673/31,5494/192

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 7673,5494

Greatest Common Factor of Numerators i.e. GCF of 7673,5494 is 1 .

LCM of Denominators means LCM of 31,192 as per the given fractions.

LCM of 31,192 is 5952 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7673,5494

GCF of Fractions 7673/31,5494/192 is 1/5952

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 7673,5494 By Matching Biggest Common Factor Method

Greatest Common Factor of 7673,5494 By Matching Biggest Common Factor Method

Factors of 7673

List of positive integer factors of 7673 that divides 7673 without a remainder.

1,7673

Factors of 5494

List of positive integer factors of 5494 that divides 5494 without a remainder.

1,2,41,67,82,134,2747,5494

Greatest Common Factor

We found the factors 7673,5494 . The biggest common factor number is the GCF number.
So the greatest common factor 7673,5494 is 1.

Lets's calculate LCM of 31,192

Given numbers has no common factors except 1. So, there LCM is their product i.e 5952

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5952

Therefore, the GCF of Fractions 7673/31,5494/192 is 1/5952

Least Common Multiple of 31,192 with GCF Formula

Least Common Multiple of 31,192 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 31,192 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,192) = 1

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

GCF(31,192) x common factors =1 x 1 = 1

LCM(31,192) = ( 31 × 192 ) / 1

LCM(31,192) = 5952 / 1

LCM(31,192) = 5952


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 7673/31, 5494/192

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 7673/31, 5494/192?

Answer: GCF of Numerators as per given numbers 7673/31, 5494/192 is

GCF of Numerators i.e. for 7673,5494 is 1

LCM of denominators i.e. for 31,192 is 5952.

Thus, GCF of Fractions is 1/5952.Finally, GCF of Fractions for 7673/31, 5494/192 is 1/5952.