Greatest Common Factor of 80/26, 65/704, 716/734

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 80/26, 65/704, 716/734

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 80/26,65/704,716/734

Given fractions are 80/26,65/704,716/734

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 80,65,716

Greatest Common Factor of Numerators i.e. GCF of 80,65,716 is 1 .

LCM of Denominators means LCM of 26,704,734 as per the given fractions.

LCM of 26,704,734 is 3358784 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 80,65,716

GCF of Fractions 80/26,65/704,716/734 is 1/3358784

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

Greatest Common Factor of 80,65,716 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,65,716 By Matching Biggest Common Factor Method

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 65

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

1,5,13,65

Factors of 716

List of positive integer factors of 716 that divides 716 without a remainder.

1,2,4,179,358,716

Greatest Common Factor

We found the factors 80,65,716 . The biggest common factor number is the GCF number.
So the greatest common factor 80,65,716 is 1.

Lets's calculate LCM of 26,704,734

2 26, 704, 734
13, 352, 367

∴ So the LCM of the given numbers is 2 x 13 x 352 x 367 = 3358784

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3358784

Therefore, the GCF of Fractions 80/26,65/704,716/734 is 1/3358784

Least Common Multiple of 26,704,734 with GCF Formula

Least Common Multiple of 26,704,734 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 26,704,734 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,704,734) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(26,704,734) x common factors =2 x 2 = 4

LCM(26,704,734) = ( 26 × 704 × 734 ) / 4

LCM(26,704,734) = 13435136 / 4

LCM(26,704,734) = 3358784


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 80/26, 65/704, 716/734

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 80/26, 65/704, 716/734?

Answer: GCF of Numerators as per given numbers 80/26, 65/704, 716/734 is

GCF of Numerators i.e. for 80,65,716 is 1

LCM of denominators i.e. for 26,704,734 is 3358784.

Thus, GCF of Fractions is 1/3358784.Finally, GCF of Fractions for 80/26, 65/704, 716/734 is 1/3358784.