Greatest Common Factor of 9737/81, 2392/554

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9737/81, 2392/554

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 9737/81,2392/554

Given fractions are 9737/81,2392/554

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 9737,2392

Greatest Common Factor of Numerators i.e. GCF of 9737,2392 is 13 .

LCM of Denominators means LCM of 81,554 as per the given fractions.

LCM of 81,554 is 44874 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9737,2392

GCF of Fractions 9737/81,2392/554 is 13/44874

13 9737, 2392
749, 184

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 9737,2392 By Matching Biggest Common Factor Method

Greatest Common Factor of 9737,2392 By Matching Biggest Common Factor Method

Factors of 9737

List of positive integer factors of 9737 that divides 9737 without a remainder.

1,7,13,91,107,749,1391,9737

Factors of 2392

List of positive integer factors of 2392 that divides 2392 without a remainder.

1,2,4,8,13,23,26,46,52,92,104,184,299,598,1196,2392

Greatest Common Factor

We found the factors 9737,2392 . The biggest common factor number is the GCF number.
So the greatest common factor 9737,2392 is 13.

Lets's calculate LCM of 81,554

Given numbers has no common factors except 1. So, there LCM is their product i.e 44874

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/44874

Therefore, the GCF of Fractions 9737/81,2392/554 is 13/44874

Least Common Multiple of 81,554 with GCF Formula

Least Common Multiple of 81,554 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 81,554 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,554) = 1

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

GCF(81,554) x common factors =1 x 1 = 1

LCM(81,554) = ( 81 × 554 ) / 1

LCM(81,554) = 44874 / 1

LCM(81,554) = 44874


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 9737/81, 2392/554

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 9737/81, 2392/554?

Answer: GCF of Numerators as per given numbers 9737/81, 2392/554 is

GCF of Numerators i.e. for 9737,2392 is 13

LCM of denominators i.e. for 81,554 is 44874.

Thus, GCF of Fractions is 13/44874.Finally, GCF of Fractions for 9737/81, 2392/554 is 13/44874.