Greatest Common Factor of 5/18, 68/40, 20/437, 201/778

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5/18, 68/40, 20/437, 201/778

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 5/18,68/40,20/437,201/778

Given fractions are 5/18,68/40,20/437,201/778

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 5,68,20,201

Greatest Common Factor of Numerators i.e. GCF of 5,68,20,201 is 1 .

LCM of Denominators means LCM of 18,40,437,778 as per the given fractions.

LCM of 18,40,437,778 is 61197480 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5,68,20,201

GCF of Fractions 5/18,68/40,20/437,201/778 is 1/61197480

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

Greatest Common Factor of 5,68,20,201 By Matching Biggest Common Factor Method

Greatest Common Factor of 5,68,20,201 By Matching Biggest Common Factor Method

Factors of 5

List of positive integer factors of 5 that divides 5 without a remainder.

1,5

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 20

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

1,2,4,5,10,20

Factors of 201

List of positive integer factors of 201 that divides 201 without a remainder.

1,3,67,201

Greatest Common Factor

We found the factors 5,68,20,201 . The biggest common factor number is the GCF number.
So the greatest common factor 5,68,20,201 is 1.

Lets's calculate LCM of 18,40,437,778

2 18, 40, 437, 778
9, 20, 437, 389

∴ So the LCM of the given numbers is 2 x 9 x 20 x 437 x 389 = 61197480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/61197480

Therefore, the GCF of Fractions 5/18,68/40,20/437,201/778 is 1/61197480

Least Common Multiple of 18,40,437,778 with GCF Formula

Least Common Multiple of 18,40,437,778 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 18,40,437,778 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,40,437,778) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(18,40,437,778) x common factors =1 x 4 = 4

LCM(18,40,437,778) = ( 18 × 40 × 437 × 778 ) / 4

LCM(18,40,437,778) = 244789920 / 4

LCM(18,40,437,778) = 61197480


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 5/18, 68/40, 20/437, 201/778

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 5/18, 68/40, 20/437, 201/778?

Answer: GCF of Numerators as per given numbers 5/18, 68/40, 20/437, 201/778 is

GCF of Numerators i.e. for 5,68,20,201 is 1

LCM of denominators i.e. for 18,40,437,778 is 61197480.

Thus, GCF of Fractions is 1/61197480.Finally, GCF of Fractions for 5/18, 68/40, 20/437, 201/778 is 1/61197480.