Greatest Common Factor of 80/65, 74/14, 418/75

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 80/65, 74/14, 418/75

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 80/65,74/14,418/75

Given fractions are 80/65,74/14,418/75

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 80,74,418

Greatest Common Factor of Numerators i.e. GCF of 80,74,418 is 2 .

LCM of Denominators means LCM of 65,14,75 as per the given fractions.

LCM of 65,14,75 is 13650 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 80,74,418

GCF of Fractions 80/65,74/14,418/75 is 2/13650

2 80, 74, 418
40, 37, 209

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 80,74,418 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,74,418 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 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 418

List of positive integer factors of 418 that divides 418 without a remainder.

1,2,11,19,22,38,209,418

Greatest Common Factor

We found the factors 80,74,418 . The biggest common factor number is the GCF number.
So the greatest common factor 80,74,418 is 2.

Lets's calculate LCM of 65,14,75

5 65, 14, 75
13, 14, 15

∴ So the LCM of the given numbers is 5 x 13 x 14 x 15 = 13650

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/13650

Therefore, the GCF of Fractions 80/65,74/14,418/75 is 2/13650

Least Common Multiple of 65,14,75 with GCF Formula

Least Common Multiple of 65,14,75 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 65,14,75 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,14,75) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(65,14,75) x common factors =1 x 5 = 5

LCM(65,14,75) = ( 65 × 14 × 75 ) / 5

LCM(65,14,75) = 68250 / 5

LCM(65,14,75) = 13650


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 80/65, 74/14, 418/75

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 80/65, 74/14, 418/75?

Answer: GCF of Numerators as per given numbers 80/65, 74/14, 418/75 is

GCF of Numerators i.e. for 80,74,418 is 2

LCM of denominators i.e. for 65,14,75 is 13650.

Thus, GCF of Fractions is 2/13650.Finally, GCF of Fractions for 80/65, 74/14, 418/75 is 2/13650.