Greatest Common Factor of 919/75, 666/20, 416/30

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 919/75, 666/20, 416/30

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 919/75,666/20,416/30

Given fractions are 919/75,666/20,416/30

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 919,666,416

Greatest Common Factor of Numerators i.e. GCF of 919,666,416 is 1 .

LCM of Denominators means LCM of 75,20,30 as per the given fractions.

LCM of 75,20,30 is 300 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 919,666,416

GCF of Fractions 919/75,666/20,416/30 is 1/300

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

Greatest Common Factor of 919,666,416 By Matching Biggest Common Factor Method

Greatest Common Factor of 919,666,416 By Matching Biggest Common Factor Method

Factors of 919

List of positive integer factors of 919 that divides 919 without a remainder.

1,919

Factors of 666

List of positive integer factors of 666 that divides 666 without a remainder.

1,2,3,6,9,18,37,74,111,222,333,666

Factors of 416

List of positive integer factors of 416 that divides 416 without a remainder.

1,2,4,8,13,16,26,32,52,104,208,416

Greatest Common Factor

We found the factors 919,666,416 . The biggest common factor number is the GCF number.
So the greatest common factor 919,666,416 is 1.

Lets's calculate LCM of 75,20,30

2 75, 20, 30
3 75, 10, 15
5 25, 10, 5
1, 2, 5

∴ So the LCM of the given numbers is 2 x 3 x 5 x 1 x 2 x 5 = 300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/300

Therefore, the GCF of Fractions 919/75,666/20,416/30 is 1/300

Least Common Multiple of 75,20,30 with GCF Formula

Least Common Multiple of 75,20,30 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 75,20,30 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,20,30) = 5

common factors(in case of two or more numbers have common factors) = 30

GCF(75,20,30) x common factors =5 x 30 = 150

LCM(75,20,30) = ( 75 × 20 × 30 ) / 150

LCM(75,20,30) = 45000 / 150

LCM(75,20,30) = 300


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 919/75, 666/20, 416/30

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 919/75, 666/20, 416/30?

Answer: GCF of Numerators as per given numbers 919/75, 666/20, 416/30 is

GCF of Numerators i.e. for 919,666,416 is 1

LCM of denominators i.e. for 75,20,30 is 300.

Thus, GCF of Fractions is 1/300.Finally, GCF of Fractions for 919/75, 666/20, 416/30 is 1/300.