Greatest Common Factor of 392/729, 7462/9241

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 392/729, 7462/9241

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 392/729,7462/9241

Given fractions are 392/729,7462/9241

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 392,7462

Greatest Common Factor of Numerators i.e. GCF of 392,7462 is 14 .

LCM of Denominators means LCM of 729,9241 as per the given fractions.

LCM of 729,9241 is 6736689 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 392,7462

GCF of Fractions 392/729,7462/9241 is 14/6736689

2 392, 7462
7 196, 3731
28, 533

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 392,7462 By Matching Biggest Common Factor Method

Greatest Common Factor of 392,7462 By Matching Biggest Common Factor Method

Factors of 392

List of positive integer factors of 392 that divides 392 without a remainder.

1,2,4,7,8,14,28,49,56,98,196,392

Factors of 7462

List of positive integer factors of 7462 that divides 7462 without a remainder.

1,2,7,13,14,26,41,82,91,182,287,533,574,1066,3731,7462

Greatest Common Factor

We found the factors 392,7462 . The biggest common factor number is the GCF number.
So the greatest common factor 392,7462 is 14.

Lets's calculate LCM of 729,9241

Given numbers has no common factors except 1. So, there LCM is their product i.e 6736689

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/6736689

Therefore, the GCF of Fractions 392/729,7462/9241 is 14/6736689

Least Common Multiple of 729,9241 with GCF Formula

Least Common Multiple of 729,9241 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 729,9241 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(729,9241) = 1

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

GCF(729,9241) x common factors =1 x 1 = 1

LCM(729,9241) = ( 729 × 9241 ) / 1

LCM(729,9241) = 6736689 / 1

LCM(729,9241) = 6736689


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 392/729, 7462/9241

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 392/729, 7462/9241?

Answer: GCF of Numerators as per given numbers 392/729, 7462/9241 is

GCF of Numerators i.e. for 392,7462 is 14

LCM of denominators i.e. for 729,9241 is 6736689.

Thus, GCF of Fractions is 14/6736689.Finally, GCF of Fractions for 392/729, 7462/9241 is 14/6736689.