Greatest Common Factor of 9307/74, 4213/238

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9307/74, 4213/238

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 9307/74,4213/238

Given fractions are 9307/74,4213/238

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 9307,4213

Greatest Common Factor of Numerators i.e. GCF of 9307,4213 is 1 .

LCM of Denominators means LCM of 74,238 as per the given fractions.

LCM of 74,238 is 8806 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9307,4213

GCF of Fractions 9307/74,4213/238 is 1/8806

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

Greatest Common Factor of 9307,4213 By Matching Biggest Common Factor Method

Greatest Common Factor of 9307,4213 By Matching Biggest Common Factor Method

Factors of 9307

List of positive integer factors of 9307 that divides 9307 without a remainder.

1,41,227,9307

Factors of 4213

List of positive integer factors of 4213 that divides 4213 without a remainder.

1,11,383,4213

Greatest Common Factor

We found the factors 9307,4213 . The biggest common factor number is the GCF number.
So the greatest common factor 9307,4213 is 1.

Lets's calculate LCM of 74,238

2 74, 238
37, 119

∴ So the LCM of the given numbers is 2 x 37 x 119 = 8806

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8806

Therefore, the GCF of Fractions 9307/74,4213/238 is 1/8806

Least Common Multiple of 74,238 with GCF Formula

Least Common Multiple of 74,238 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 74,238 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,238) = 2

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

GCF(74,238) x common factors =2 x 1 = 2

LCM(74,238) = ( 74 × 238 ) / 2

LCM(74,238) = 17612 / 2

LCM(74,238) = 8806


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 9307/74, 4213/238

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 9307/74, 4213/238?

Answer: GCF of Numerators as per given numbers 9307/74, 4213/238 is

GCF of Numerators i.e. for 9307,4213 is 1

LCM of denominators i.e. for 74,238 is 8806.

Thus, GCF of Fractions is 1/8806.Finally, GCF of Fractions for 9307/74, 4213/238 is 1/8806.