Greatest Common Factor of 9007/214, 8684/300

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9007/214, 8684/300

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 9007/214,8684/300

Given fractions are 9007/214,8684/300

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 9007,8684

Greatest Common Factor of Numerators i.e. GCF of 9007,8684 is 1 .

LCM of Denominators means LCM of 214,300 as per the given fractions.

LCM of 214,300 is 32100 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9007,8684

GCF of Fractions 9007/214,8684/300 is 1/32100

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

Greatest Common Factor of 9007,8684 By Matching Biggest Common Factor Method

Greatest Common Factor of 9007,8684 By Matching Biggest Common Factor Method

Factors of 9007

List of positive integer factors of 9007 that divides 9007 without a remainder.

1,9007

Factors of 8684

List of positive integer factors of 8684 that divides 8684 without a remainder.

1,2,4,13,26,52,167,334,668,2171,4342,8684

Greatest Common Factor

We found the factors 9007,8684 . The biggest common factor number is the GCF number.
So the greatest common factor 9007,8684 is 1.

Lets's calculate LCM of 214,300

2 214, 300
107, 150

∴ So the LCM of the given numbers is 2 x 107 x 150 = 32100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32100

Therefore, the GCF of Fractions 9007/214,8684/300 is 1/32100

Least Common Multiple of 214,300 with GCF Formula

Least Common Multiple of 214,300 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 214,300 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(214,300) = 2

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

GCF(214,300) x common factors =2 x 1 = 2

LCM(214,300) = ( 214 × 300 ) / 2

LCM(214,300) = 64200 / 2

LCM(214,300) = 32100


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 9007/214, 8684/300

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 9007/214, 8684/300?

Answer: GCF of Numerators as per given numbers 9007/214, 8684/300 is

GCF of Numerators i.e. for 9007,8684 is 1

LCM of denominators i.e. for 214,300 is 32100.

Thus, GCF of Fractions is 1/32100.Finally, GCF of Fractions for 9007/214, 8684/300 is 1/32100.