Greatest Common Factor of 13/57, 62/86, 365/600

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 13/57, 62/86, 365/600

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 13/57,62/86,365/600

Given fractions are 13/57,62/86,365/600

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 13,62,365

Greatest Common Factor of Numerators i.e. GCF of 13,62,365 is 1 .

LCM of Denominators means LCM of 57,86,600 as per the given fractions.

LCM of 57,86,600 is 490200 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 13,62,365

GCF of Fractions 13/57,62/86,365/600 is 1/490200

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

Greatest Common Factor of 13,62,365 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,62,365 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 365

List of positive integer factors of 365 that divides 365 without a remainder.

1,5,73,365

Greatest Common Factor

We found the factors 13,62,365 . The biggest common factor number is the GCF number.
So the greatest common factor 13,62,365 is 1.

Lets's calculate LCM of 57,86,600

2 57, 86, 600
3 57, 43, 300
19, 43, 100

∴ So the LCM of the given numbers is 2 x 3 x 19 x 43 x 100 = 490200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/490200

Therefore, the GCF of Fractions 13/57,62/86,365/600 is 1/490200

Least Common Multiple of 57,86,600 with GCF Formula

Least Common Multiple of 57,86,600 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 57,86,600 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,86,600) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(57,86,600) x common factors =1 x 6 = 6

LCM(57,86,600) = ( 57 × 86 × 600 ) / 6

LCM(57,86,600) = 2941200 / 6

LCM(57,86,600) = 490200


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 13/57, 62/86, 365/600

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 13/57, 62/86, 365/600?

Answer: GCF of Numerators as per given numbers 13/57, 62/86, 365/600 is

GCF of Numerators i.e. for 13,62,365 is 1

LCM of denominators i.e. for 57,86,600 is 490200.

Thus, GCF of Fractions is 1/490200.Finally, GCF of Fractions for 13/57, 62/86, 365/600 is 1/490200.