Greatest Common Factor of 80/14, 75/533, 240/417

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 80/14, 75/533, 240/417

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 80/14,75/533,240/417

Given fractions are 80/14,75/533,240/417

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 80,75,240

Greatest Common Factor of Numerators i.e. GCF of 80,75,240 is 5 .

LCM of Denominators means LCM of 14,533,417 as per the given fractions.

LCM of 14,533,417 is 3111654 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 80,75,240

GCF of Fractions 80/14,75/533,240/417 is 5/3111654

5 80, 75, 240
16, 15, 48

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 80,75,240 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,75,240 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 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Greatest Common Factor

We found the factors 80,75,240 . The biggest common factor number is the GCF number.
So the greatest common factor 80,75,240 is 5.

Lets's calculate LCM of 14,533,417

Given numbers has no common factors except 1. So, there LCM is their product i.e 3111654

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/3111654

Therefore, the GCF of Fractions 80/14,75/533,240/417 is 5/3111654

Least Common Multiple of 14,533,417 with GCF Formula

Least Common Multiple of 14,533,417 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 14,533,417 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,533,417) = 1

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

GCF(14,533,417) x common factors =1 x 1 = 1

LCM(14,533,417) = ( 14 × 533 × 417 ) / 1

LCM(14,533,417) = 3111654 / 1

LCM(14,533,417) = 3111654


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 80/14, 75/533, 240/417

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 80/14, 75/533, 240/417?

Answer: GCF of Numerators as per given numbers 80/14, 75/533, 240/417 is

GCF of Numerators i.e. for 80,75,240 is 5

LCM of denominators i.e. for 14,533,417 is 3111654.

Thus, GCF of Fractions is 5/3111654.Finally, GCF of Fractions for 80/14, 75/533, 240/417 is 5/3111654.