Greatest Common Factor of 8358/238, 3817/314

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8358/238, 3817/314

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 8358/238,3817/314

Given fractions are 8358/238,3817/314

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 8358,3817

Greatest Common Factor of Numerators i.e. GCF of 8358,3817 is 1 .

LCM of Denominators means LCM of 238,314 as per the given fractions.

LCM of 238,314 is 37366 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8358,3817

GCF of Fractions 8358/238,3817/314 is 1/37366

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

Greatest Common Factor of 8358,3817 By Matching Biggest Common Factor Method

Greatest Common Factor of 8358,3817 By Matching Biggest Common Factor Method

Factors of 8358

List of positive integer factors of 8358 that divides 8358 without a remainder.

1,2,3,6,7,14,21,42,199,398,597,1194,1393,2786,4179,8358

Factors of 3817

List of positive integer factors of 3817 that divides 3817 without a remainder.

1,11,347,3817

Greatest Common Factor

We found the factors 8358,3817 . The biggest common factor number is the GCF number.
So the greatest common factor 8358,3817 is 1.

Lets's calculate LCM of 238,314

2 238, 314
119, 157

∴ So the LCM of the given numbers is 2 x 119 x 157 = 37366

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/37366

Therefore, the GCF of Fractions 8358/238,3817/314 is 1/37366

Least Common Multiple of 238,314 with GCF Formula

Least Common Multiple of 238,314 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 238,314 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(238,314) = 2

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

GCF(238,314) x common factors =2 x 1 = 2

LCM(238,314) = ( 238 × 314 ) / 2

LCM(238,314) = 74732 / 2

LCM(238,314) = 37366


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 8358/238, 3817/314

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 8358/238, 3817/314?

Answer: GCF of Numerators as per given numbers 8358/238, 3817/314 is

GCF of Numerators i.e. for 8358,3817 is 1

LCM of denominators i.e. for 238,314 is 37366.

Thus, GCF of Fractions is 1/37366.Finally, GCF of Fractions for 8358/238, 3817/314 is 1/37366.