Greatest Common Factor of 1/58, 38/39, 20/519, 882/600

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1/58, 38/39, 20/519, 882/600

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 1/58,38/39,20/519,882/600

Given fractions are 1/58,38/39,20/519,882/600

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 1,38,20,882

Greatest Common Factor of Numerators i.e. GCF of 1,38,20,882 is 1 .

LCM of Denominators means LCM of 58,39,519,600 as per the given fractions.

LCM of 58,39,519,600 is 39132600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1,38,20,882

GCF of Fractions 1/58,38/39,20/519,882/600 is 1/39132600

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

Greatest Common Factor of 1,38,20,882 By Matching Biggest Common Factor Method

Greatest Common Factor of 1,38,20,882 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 38

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

1,2,19,38

Factors of 20

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

1,2,4,5,10,20

Factors of 882

List of positive integer factors of 882 that divides 882 without a remainder.

1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882

Greatest Common Factor

We found the factors 1,38,20,882 . The biggest common factor number is the GCF number.
So the greatest common factor 1,38,20,882 is 1.

Lets's calculate LCM of 58,39,519,600

2 58, 39, 519, 600
3 29, 39, 519, 300
29, 13, 173, 100

∴ So the LCM of the given numbers is 2 x 3 x 29 x 13 x 173 x 100 = 39132600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/39132600

Therefore, the GCF of Fractions 1/58,38/39,20/519,882/600 is 1/39132600

Least Common Multiple of 58,39,519,600 with GCF Formula

Least Common Multiple of 58,39,519,600 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 58,39,519,600 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,39,519,600) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(58,39,519,600) x common factors =1 x 18 = 18

LCM(58,39,519,600) = ( 58 × 39 × 519 × 600 ) / 18

LCM(58,39,519,600) = 704386800 / 18

LCM(58,39,519,600) = 39132600


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 1/58, 38/39, 20/519, 882/600

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 1/58, 38/39, 20/519, 882/600?

Answer: GCF of Numerators as per given numbers 1/58, 38/39, 20/519, 882/600 is

GCF of Numerators i.e. for 1,38,20,882 is 1

LCM of denominators i.e. for 58,39,519,600 is 39132600.

Thus, GCF of Fractions is 1/39132600.Finally, GCF of Fractions for 1/58, 38/39, 20/519, 882/600 is 1/39132600.