Greatest Common Factor of 4/93, 90/66, 73/143, 795/408

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4/93, 90/66, 73/143, 795/408

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 4/93,90/66,73/143,795/408

Given fractions are 4/93,90/66,73/143,795/408

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 4,90,73,795

Greatest Common Factor of Numerators i.e. GCF of 4,90,73,795 is 1 .

LCM of Denominators means LCM of 93,66,143,408 as per the given fractions.

LCM of 93,66,143,408 is 1808664 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4,90,73,795

GCF of Fractions 4/93,90/66,73/143,795/408 is 1/1808664

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

Greatest Common Factor of 4,90,73,795 By Matching Biggest Common Factor Method

Greatest Common Factor of 4,90,73,795 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 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 795

List of positive integer factors of 795 that divides 795 without a remainder.

1,3,5,15,53,159,265,795

Greatest Common Factor

We found the factors 4,90,73,795 . The biggest common factor number is the GCF number.
So the greatest common factor 4,90,73,795 is 1.

Lets's calculate LCM of 93,66,143,408

2 93, 66, 143, 408
3 93, 33, 143, 204
11 31, 11, 143, 68
31, 1, 13, 68

∴ So the LCM of the given numbers is 2 x 3 x 11 x 31 x 1 x 13 x 68 = 1808664

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1808664

Therefore, the GCF of Fractions 4/93,90/66,73/143,795/408 is 1/1808664

Least Common Multiple of 93,66,143,408 with GCF Formula

Least Common Multiple of 93,66,143,408 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 93,66,143,408 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,66,143,408) = 1

common factors(in case of two or more numbers have common factors) = 198

GCF(93,66,143,408) x common factors =1 x 198 = 198

LCM(93,66,143,408) = ( 93 × 66 × 143 × 408 ) / 198

LCM(93,66,143,408) = 358115472 / 198

LCM(93,66,143,408) = 1808664


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 4/93, 90/66, 73/143, 795/408

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 4/93, 90/66, 73/143, 795/408?

Answer: GCF of Numerators as per given numbers 4/93, 90/66, 73/143, 795/408 is

GCF of Numerators i.e. for 4,90,73,795 is 1

LCM of denominators i.e. for 93,66,143,408 is 1808664.

Thus, GCF of Fractions is 1/1808664.Finally, GCF of Fractions for 4/93, 90/66, 73/143, 795/408 is 1/1808664.