Greatest Common Factor of 9765/46, 9638/494

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9765/46, 9638/494

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 9765/46,9638/494

Given fractions are 9765/46,9638/494

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 9765,9638

Greatest Common Factor of Numerators i.e. GCF of 9765,9638 is 1 .

LCM of Denominators means LCM of 46,494 as per the given fractions.

LCM of 46,494 is 11362 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9765,9638

GCF of Fractions 9765/46,9638/494 is 1/11362

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

Greatest Common Factor of 9765,9638 By Matching Biggest Common Factor Method

Greatest Common Factor of 9765,9638 By Matching Biggest Common Factor Method

Factors of 9765

List of positive integer factors of 9765 that divides 9765 without a remainder.

1,3,5,7,9,15,21,31,35,45,63,93,105,155,217,279,315,465,651,1085,1395,1953,3255,9765

Factors of 9638

List of positive integer factors of 9638 that divides 9638 without a remainder.

1,2,61,79,122,158,4819,9638

Greatest Common Factor

We found the factors 9765,9638 . The biggest common factor number is the GCF number.
So the greatest common factor 9765,9638 is 1.

Lets's calculate LCM of 46,494

2 46, 494
23, 247

∴ So the LCM of the given numbers is 2 x 23 x 247 = 11362

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11362

Therefore, the GCF of Fractions 9765/46,9638/494 is 1/11362

Least Common Multiple of 46,494 with GCF Formula

Least Common Multiple of 46,494 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 46,494 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,494) = 2

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

GCF(46,494) x common factors =2 x 1 = 2

LCM(46,494) = ( 46 × 494 ) / 2

LCM(46,494) = 22724 / 2

LCM(46,494) = 11362


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 9765/46, 9638/494

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 9765/46, 9638/494?

Answer: GCF of Numerators as per given numbers 9765/46, 9638/494 is

GCF of Numerators i.e. for 9765,9638 is 1

LCM of denominators i.e. for 46,494 is 11362.

Thus, GCF of Fractions is 1/11362.Finally, GCF of Fractions for 9765/46, 9638/494 is 1/11362.