Greatest Common Factor of 9338/207, 6705/5126

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9338/207, 6705/5126

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 9338/207,6705/5126

Given fractions are 9338/207,6705/5126

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 9338,6705

Greatest Common Factor of Numerators i.e. GCF of 9338,6705 is 1 .

LCM of Denominators means LCM of 207,5126 as per the given fractions.

LCM of 207,5126 is 1061082 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9338,6705

GCF of Fractions 9338/207,6705/5126 is 1/1061082

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

Greatest Common Factor of 9338,6705 By Matching Biggest Common Factor Method

Greatest Common Factor of 9338,6705 By Matching Biggest Common Factor Method

Factors of 9338

List of positive integer factors of 9338 that divides 9338 without a remainder.

1,2,7,14,23,29,46,58,161,203,322,406,667,1334,4669,9338

Factors of 6705

List of positive integer factors of 6705 that divides 6705 without a remainder.

1,3,5,9,15,45,149,447,745,1341,2235,6705

Greatest Common Factor

We found the factors 9338,6705 . The biggest common factor number is the GCF number.
So the greatest common factor 9338,6705 is 1.

Lets's calculate LCM of 207,5126

Given numbers has no common factors except 1. So, there LCM is their product i.e 1061082

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1061082

Therefore, the GCF of Fractions 9338/207,6705/5126 is 1/1061082

Least Common Multiple of 207,5126 with GCF Formula

Least Common Multiple of 207,5126 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 207,5126 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(207,5126) = 1

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

GCF(207,5126) x common factors =1 x 1 = 1

LCM(207,5126) = ( 207 × 5126 ) / 1

LCM(207,5126) = 1061082 / 1

LCM(207,5126) = 1061082


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 9338/207, 6705/5126

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 9338/207, 6705/5126?

Answer: GCF of Numerators as per given numbers 9338/207, 6705/5126 is

GCF of Numerators i.e. for 9338,6705 is 1

LCM of denominators i.e. for 207,5126 is 1061082.

Thus, GCF of Fractions is 1/1061082.Finally, GCF of Fractions for 9338/207, 6705/5126 is 1/1061082.