Greatest Common Factor of 1/61, 59/30, 76/729, 556/167

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1/61, 59/30, 76/729, 556/167

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 1/61,59/30,76/729,556/167

Given fractions are 1/61,59/30,76/729,556/167

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 1,59,76,556

Greatest Common Factor of Numerators i.e. GCF of 1,59,76,556 is 1 .

LCM of Denominators means LCM of 61,30,729,167 as per the given fractions.

LCM of 61,30,729,167 is 74263230 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1,59,76,556

GCF of Fractions 1/61,59/30,76/729,556/167 is 1/74263230

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

Greatest Common Factor of 1,59,76,556 By Matching Biggest Common Factor Method

Greatest Common Factor of 1,59,76,556 By Matching Biggest Common Factor Method

Factors of 1

List of positive integer factors of 1 that divides 1 without a remainder.

1

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 556

List of positive integer factors of 556 that divides 556 without a remainder.

1,2,4,139,278,556

Greatest Common Factor

We found the factors 1,59,76,556 . The biggest common factor number is the GCF number.
So the greatest common factor 1,59,76,556 is 1.

Lets's calculate LCM of 61,30,729,167

3 61, 30, 729, 167
61, 10, 243, 167

∴ So the LCM of the given numbers is 3 x 61 x 10 x 243 x 167 = 74263230

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/74263230

Therefore, the GCF of Fractions 1/61,59/30,76/729,556/167 is 1/74263230

Least Common Multiple of 61,30,729,167 with GCF Formula

Least Common Multiple of 61,30,729,167 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 61,30,729,167 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,30,729,167) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(61,30,729,167) x common factors =1 x 3 = 3

LCM(61,30,729,167) = ( 61 × 30 × 729 × 167 ) / 3

LCM(61,30,729,167) = 222789690 / 3

LCM(61,30,729,167) = 74263230


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 1/61, 59/30, 76/729, 556/167

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 1/61, 59/30, 76/729, 556/167?

Answer: GCF of Numerators as per given numbers 1/61, 59/30, 76/729, 556/167 is

GCF of Numerators i.e. for 1,59,76,556 is 1

LCM of denominators i.e. for 61,30,729,167 is 74263230.

Thus, GCF of Fractions is 1/74263230.Finally, GCF of Fractions for 1/61, 59/30, 76/729, 556/167 is 1/74263230.