Greatest Common Factor of 4/54, 20/66, 94/900, 909/195

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4/54, 20/66, 94/900, 909/195

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 4/54,20/66,94/900,909/195

Given fractions are 4/54,20/66,94/900,909/195

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 4,20,94,909

Greatest Common Factor of Numerators i.e. GCF of 4,20,94,909 is 1 .

LCM of Denominators means LCM of 54,66,900,195 as per the given fractions.

LCM of 54,66,900,195 is 386100 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4,20,94,909

GCF of Fractions 4/54,20/66,94/900,909/195 is 1/386100

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

Greatest Common Factor of 4,20,94,909 By Matching Biggest Common Factor Method

Greatest Common Factor of 4,20,94,909 By Matching Biggest Common Factor Method

Factors of 4

List of positive integer factors of 4 that divides 4 without a remainder.

1,2,4

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 909

List of positive integer factors of 909 that divides 909 without a remainder.

1,3,9,101,303,909

Greatest Common Factor

We found the factors 4,20,94,909 . The biggest common factor number is the GCF number.
So the greatest common factor 4,20,94,909 is 1.

Lets's calculate LCM of 54,66,900,195

2 54, 66, 900, 195
3 27, 33, 450, 195
3 9, 11, 150, 65
5 3, 11, 50, 65
3, 11, 10, 13

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 3 x 11 x 10 x 13 = 386100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/386100

Therefore, the GCF of Fractions 4/54,20/66,94/900,909/195 is 1/386100

Least Common Multiple of 54,66,900,195 with GCF Formula

Least Common Multiple of 54,66,900,195 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 54,66,900,195 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,66,900,195) = 3

common factors(in case of two or more numbers have common factors) = 540

GCF(54,66,900,195) x common factors =3 x 540 = 1620

LCM(54,66,900,195) = ( 54 × 66 × 900 × 195 ) / 1620

LCM(54,66,900,195) = 625482000 / 1620

LCM(54,66,900,195) = 386100


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 4/54, 20/66, 94/900, 909/195

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 4/54, 20/66, 94/900, 909/195?

Answer: GCF of Numerators as per given numbers 4/54, 20/66, 94/900, 909/195 is

GCF of Numerators i.e. for 4,20,94,909 is 1

LCM of denominators i.e. for 54,66,900,195 is 386100.

Thus, GCF of Fractions is 1/386100.Finally, GCF of Fractions for 4/54, 20/66, 94/900, 909/195 is 1/386100.