Greatest Common Factor of 25/65, 96/33, 40/17, 51/11

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 25/65, 96/33, 40/17, 51/11

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 25/65,96/33,40/17,51/11

Given fractions are 25/65,96/33,40/17,51/11

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 25,96,40,51

Greatest Common Factor of Numerators i.e. GCF of 25,96,40,51 is 1 .

LCM of Denominators means LCM of 65,33,17,11 as per the given fractions.

LCM of 65,33,17,11 is 36465 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 25,96,40,51

GCF of Fractions 25/65,96/33,40/17,51/11 is 1/36465

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

Greatest Common Factor of 25,96,40,51 By Matching Biggest Common Factor Method

Greatest Common Factor of 25,96,40,51 By Matching Biggest Common Factor Method

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

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

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Greatest Common Factor

We found the factors 25,96,40,51 . The biggest common factor number is the GCF number.
So the greatest common factor 25,96,40,51 is 1.

Lets's calculate LCM of 65,33,17,11

11 65, 33, 17, 11
65, 3, 17, 1

∴ So the LCM of the given numbers is 11 x 65 x 3 x 17 x 1 = 36465

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36465

Therefore, the GCF of Fractions 25/65,96/33,40/17,51/11 is 1/36465

Least Common Multiple of 65,33,17,11 with GCF Formula

Least Common Multiple of 65,33,17,11 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 65,33,17,11 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,33,17,11) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(65,33,17,11) x common factors =1 x 11 = 11

LCM(65,33,17,11) = ( 65 × 33 × 17 × 11 ) / 11

LCM(65,33,17,11) = 401115 / 11

LCM(65,33,17,11) = 36465


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 25/65, 96/33, 40/17, 51/11

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 25/65, 96/33, 40/17, 51/11?

Answer: GCF of Numerators as per given numbers 25/65, 96/33, 40/17, 51/11 is

GCF of Numerators i.e. for 25,96,40,51 is 1

LCM of denominators i.e. for 65,33,17,11 is 36465.

Thus, GCF of Fractions is 1/36465.Finally, GCF of Fractions for 25/65, 96/33, 40/17, 51/11 is 1/36465.