Greatest Common Factor of 93/65, 42/13, 57/41, 96/495

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 93/65, 42/13, 57/41, 96/495

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 93/65,42/13,57/41,96/495

Given fractions are 93/65,42/13,57/41,96/495

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 93,42,57,96

Greatest Common Factor of Numerators i.e. GCF of 93,42,57,96 is 3 .

LCM of Denominators means LCM of 65,13,41,495 as per the given fractions.

LCM of 65,13,41,495 is 263835 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 93,42,57,96

GCF of Fractions 93/65,42/13,57/41,96/495 is 3/263835

3 93, 42, 57, 96
31, 14, 19, 32

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 93,42,57,96 By Matching Biggest Common Factor Method

Greatest Common Factor of 93,42,57,96 By Matching Biggest Common Factor Method

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Greatest Common Factor

We found the factors 93,42,57,96 . The biggest common factor number is the GCF number.
So the greatest common factor 93,42,57,96 is 3.

Lets's calculate LCM of 65,13,41,495

5 65, 13, 41, 495
13 13, 13, 41, 99
1, 1, 41, 99

∴ So the LCM of the given numbers is 5 x 13 x 1 x 1 x 41 x 99 = 263835

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/263835

Therefore, the GCF of Fractions 93/65,42/13,57/41,96/495 is 3/263835

Least Common Multiple of 65,13,41,495 with GCF Formula

Least Common Multiple of 65,13,41,495 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 65,13,41,495 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,13,41,495) = 1

common factors(in case of two or more numbers have common factors) = 65

GCF(65,13,41,495) x common factors =1 x 65 = 65

LCM(65,13,41,495) = ( 65 × 13 × 41 × 495 ) / 65

LCM(65,13,41,495) = 17149275 / 65

LCM(65,13,41,495) = 263835


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 93/65, 42/13, 57/41, 96/495

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 93/65, 42/13, 57/41, 96/495?

Answer: GCF of Numerators as per given numbers 93/65, 42/13, 57/41, 96/495 is

GCF of Numerators i.e. for 93,42,57,96 is 3

LCM of denominators i.e. for 65,13,41,495 is 263835.

Thus, GCF of Fractions is 3/263835.Finally, GCF of Fractions for 93/65, 42/13, 57/41, 96/495 is 3/263835.