Greatest Common Factor of 5/78, 61/30, 38/258, 203/242

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5/78, 61/30, 38/258, 203/242

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 5/78,61/30,38/258,203/242

Given fractions are 5/78,61/30,38/258,203/242

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 5,61,38,203

Greatest Common Factor of Numerators i.e. GCF of 5,61,38,203 is 1 .

LCM of Denominators means LCM of 78,30,258,242 as per the given fractions.

LCM of 78,30,258,242 is 2029170 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5,61,38,203

GCF of Fractions 5/78,61/30,38/258,203/242 is 1/2029170

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

Greatest Common Factor of 5,61,38,203 By Matching Biggest Common Factor Method

Greatest Common Factor of 5,61,38,203 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 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 203

List of positive integer factors of 203 that divides 203 without a remainder.

1,7,29,203

Greatest Common Factor

We found the factors 5,61,38,203 . The biggest common factor number is the GCF number.
So the greatest common factor 5,61,38,203 is 1.

Lets's calculate LCM of 78,30,258,242

2 78, 30, 258, 242
3 39, 15, 129, 121
13, 5, 43, 121

∴ So the LCM of the given numbers is 2 x 3 x 13 x 5 x 43 x 121 = 2029170

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2029170

Therefore, the GCF of Fractions 5/78,61/30,38/258,203/242 is 1/2029170

Least Common Multiple of 78,30,258,242 with GCF Formula

Least Common Multiple of 78,30,258,242 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 78,30,258,242 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,30,258,242) = 2

common factors(in case of two or more numbers have common factors) = 36

GCF(78,30,258,242) x common factors =2 x 36 = 72

LCM(78,30,258,242) = ( 78 × 30 × 258 × 242 ) / 72

LCM(78,30,258,242) = 146100240 / 72

LCM(78,30,258,242) = 2029170


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 5/78, 61/30, 38/258, 203/242

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 5/78, 61/30, 38/258, 203/242?

Answer: GCF of Numerators as per given numbers 5/78, 61/30, 38/258, 203/242 is

GCF of Numerators i.e. for 5,61,38,203 is 1

LCM of denominators i.e. for 78,30,258,242 is 2029170.

Thus, GCF of Fractions is 1/2029170.Finally, GCF of Fractions for 5/78, 61/30, 38/258, 203/242 is 1/2029170.