Greatest Common Factor of 65/46, 80/97, 50/27, 66/143

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 65/46, 80/97, 50/27, 66/143

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 65/46,80/97,50/27,66/143

Given fractions are 65/46,80/97,50/27,66/143

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 65,80,50,66

Greatest Common Factor of Numerators i.e. GCF of 65,80,50,66 is 1 .

LCM of Denominators means LCM of 46,97,27,143 as per the given fractions.

LCM of 46,97,27,143 is 17227782 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 65,80,50,66

GCF of Fractions 65/46,80/97,50/27,66/143 is 1/17227782

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

Greatest Common Factor of 65,80,50,66 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,80,50,66 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Greatest Common Factor

We found the factors 65,80,50,66 . The biggest common factor number is the GCF number.
So the greatest common factor 65,80,50,66 is 1.

Lets's calculate LCM of 46,97,27,143

Given numbers has no common factors except 1. So, there LCM is their product i.e 17227782

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17227782

Therefore, the GCF of Fractions 65/46,80/97,50/27,66/143 is 1/17227782

Least Common Multiple of 46,97,27,143 with GCF Formula

Least Common Multiple of 46,97,27,143 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 46,97,27,143 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,97,27,143) = 1

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

GCF(46,97,27,143) x common factors =1 x 1 = 1

LCM(46,97,27,143) = ( 46 × 97 × 27 × 143 ) / 1

LCM(46,97,27,143) = 17227782 / 1

LCM(46,97,27,143) = 17227782


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 65/46, 80/97, 50/27, 66/143

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 65/46, 80/97, 50/27, 66/143?

Answer: GCF of Numerators as per given numbers 65/46, 80/97, 50/27, 66/143 is

GCF of Numerators i.e. for 65,80,50,66 is 1

LCM of denominators i.e. for 46,97,27,143 is 17227782.

Thus, GCF of Fractions is 1/17227782.Finally, GCF of Fractions for 65/46, 80/97, 50/27, 66/143 is 1/17227782.