Greatest Common Factor of 618/38, 313/3362

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 618/38, 313/3362

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 618/38,313/3362

Given fractions are 618/38,313/3362

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 618,313

Greatest Common Factor of Numerators i.e. GCF of 618,313 is 1 .

LCM of Denominators means LCM of 38,3362 as per the given fractions.

LCM of 38,3362 is 63878 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 618,313

GCF of Fractions 618/38,313/3362 is 1/63878

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

Greatest Common Factor of 618,313 By Matching Biggest Common Factor Method

Greatest Common Factor of 618,313 By Matching Biggest Common Factor Method

Factors of 618

List of positive integer factors of 618 that divides 618 without a remainder.

1,2,3,6,103,206,309,618

Factors of 313

List of positive integer factors of 313 that divides 313 without a remainder.

1,313

Greatest Common Factor

We found the factors 618,313 . The biggest common factor number is the GCF number.
So the greatest common factor 618,313 is 1.

Lets's calculate LCM of 38,3362

2 38, 3362
19, 1681

∴ So the LCM of the given numbers is 2 x 19 x 1681 = 63878

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/63878

Therefore, the GCF of Fractions 618/38,313/3362 is 1/63878

Least Common Multiple of 38,3362 with GCF Formula

Least Common Multiple of 38,3362 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 38,3362 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,3362) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(38,3362) x common factors =2 x 1 = 2

LCM(38,3362) = ( 38 × 3362 ) / 2

LCM(38,3362) = 127756 / 2

LCM(38,3362) = 63878


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 618/38, 313/3362

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 618/38, 313/3362?

Answer: GCF of Numerators as per given numbers 618/38, 313/3362 is

GCF of Numerators i.e. for 618,313 is 1

LCM of denominators i.e. for 38,3362 is 63878.

Thus, GCF of Fractions is 1/63878.Finally, GCF of Fractions for 618/38, 313/3362 is 1/63878.