Greatest Common Factor of 742/146, 9924/289

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 742/146, 9924/289

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 742/146,9924/289

Given fractions are 742/146,9924/289

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 742,9924

Greatest Common Factor of Numerators i.e. GCF of 742,9924 is 2 .

LCM of Denominators means LCM of 146,289 as per the given fractions.

LCM of 146,289 is 42194 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 742,9924

GCF of Fractions 742/146,9924/289 is 2/42194

2 742, 9924
371, 4962

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

Greatest Common Factor of 742,9924 By Matching Biggest Common Factor Method

Greatest Common Factor of 742,9924 By Matching Biggest Common Factor Method

Factors of 742

List of positive integer factors of 742 that divides 742 without a remainder.

1,2,7,14,53,106,371,742

Factors of 9924

List of positive integer factors of 9924 that divides 9924 without a remainder.

1,2,3,4,6,12,827,1654,2481,3308,4962,9924

Greatest Common Factor

We found the factors 742,9924 . The biggest common factor number is the GCF number.
So the greatest common factor 742,9924 is 2.

Lets's calculate LCM of 146,289

Given numbers has no common factors except 1. So, there LCM is their product i.e 42194

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/42194

Therefore, the GCF of Fractions 742/146,9924/289 is 2/42194

Least Common Multiple of 146,289 with GCF Formula

Least Common Multiple of 146,289 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 146,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(146,289) = 1

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

GCF(146,289) x common factors =1 x 1 = 1

LCM(146,289) = ( 146 × 289 ) / 1

LCM(146,289) = 42194 / 1

LCM(146,289) = 42194


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 742/146, 9924/289

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 742/146, 9924/289?

Answer: GCF of Numerators as per given numbers 742/146, 9924/289 is

GCF of Numerators i.e. for 742,9924 is 2

LCM of denominators i.e. for 146,289 is 42194.

Thus, GCF of Fractions is 2/42194.Finally, GCF of Fractions for 742/146, 9924/289 is 2/42194.