Greatest Common Factor of 65/76, 33/35, 87/14, 667/82

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 65/76, 33/35, 87/14, 667/82

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 65/76,33/35,87/14,667/82

Given fractions are 65/76,33/35,87/14,667/82

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 65,33,87,667

Greatest Common Factor of Numerators i.e. GCF of 65,33,87,667 is 1 .

LCM of Denominators means LCM of 76,35,14,82 as per the given fractions.

LCM of 76,35,14,82 is 109060 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 65,33,87,667

GCF of Fractions 65/76,33/35,87/14,667/82 is 1/109060

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

Greatest Common Factor of 65,33,87,667 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,33,87,667 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 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 667

List of positive integer factors of 667 that divides 667 without a remainder.

1,23,29,667

Greatest Common Factor

We found the factors 65,33,87,667 . The biggest common factor number is the GCF number.
So the greatest common factor 65,33,87,667 is 1.

Lets's calculate LCM of 76,35,14,82

2 76, 35, 14, 82
7 38, 35, 7, 41
38, 5, 1, 41

∴ So the LCM of the given numbers is 2 x 7 x 38 x 5 x 1 x 41 = 109060

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/109060

Therefore, the GCF of Fractions 65/76,33/35,87/14,667/82 is 1/109060

Least Common Multiple of 76,35,14,82 with GCF Formula

Least Common Multiple of 76,35,14,82 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 76,35,14,82 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,35,14,82) = 1

common factors(in case of two or more numbers have common factors) = 28

GCF(76,35,14,82) x common factors =1 x 28 = 28

LCM(76,35,14,82) = ( 76 × 35 × 14 × 82 ) / 28

LCM(76,35,14,82) = 3053680 / 28

LCM(76,35,14,82) = 109060


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 65/76, 33/35, 87/14, 667/82

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 65/76, 33/35, 87/14, 667/82?

Answer: GCF of Numerators as per given numbers 65/76, 33/35, 87/14, 667/82 is

GCF of Numerators i.e. for 65,33,87,667 is 1

LCM of denominators i.e. for 76,35,14,82 is 109060.

Thus, GCF of Fractions is 1/109060.Finally, GCF of Fractions for 65/76, 33/35, 87/14, 667/82 is 1/109060.