Greatest Common Factor of 9497/629, 7458/846

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9497/629, 7458/846

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 9497/629,7458/846

Given fractions are 9497/629,7458/846

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 9497,7458

Greatest Common Factor of Numerators i.e. GCF of 9497,7458 is 1 .

LCM of Denominators means LCM of 629,846 as per the given fractions.

LCM of 629,846 is 532134 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9497,7458

GCF of Fractions 9497/629,7458/846 is 1/532134

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

Greatest Common Factor of 9497,7458 By Matching Biggest Common Factor Method

Greatest Common Factor of 9497,7458 By Matching Biggest Common Factor Method

Factors of 9497

List of positive integer factors of 9497 that divides 9497 without a remainder.

1,9497

Factors of 7458

List of positive integer factors of 7458 that divides 7458 without a remainder.

1,2,3,6,11,22,33,66,113,226,339,678,1243,2486,3729,7458

Greatest Common Factor

We found the factors 9497,7458 . The biggest common factor number is the GCF number.
So the greatest common factor 9497,7458 is 1.

Lets's calculate LCM of 629,846

Given numbers has no common factors except 1. So, there LCM is their product i.e 532134

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/532134

Therefore, the GCF of Fractions 9497/629,7458/846 is 1/532134

Least Common Multiple of 629,846 with GCF Formula

Least Common Multiple of 629,846 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 629,846 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(629,846) = 1

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

GCF(629,846) x common factors =1 x 1 = 1

LCM(629,846) = ( 629 × 846 ) / 1

LCM(629,846) = 532134 / 1

LCM(629,846) = 532134


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 9497/629, 7458/846

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 9497/629, 7458/846?

Answer: GCF of Numerators as per given numbers 9497/629, 7458/846 is

GCF of Numerators i.e. for 9497,7458 is 1

LCM of denominators i.e. for 629,846 is 532134.

Thus, GCF of Fractions is 1/532134.Finally, GCF of Fractions for 9497/629, 7458/846 is 1/532134.