Greatest Common Factor of 8002/34, 6009/308

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8002/34, 6009/308

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 8002/34,6009/308

Given fractions are 8002/34,6009/308

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 8002,6009

Greatest Common Factor of Numerators i.e. GCF of 8002,6009 is 1 .

LCM of Denominators means LCM of 34,308 as per the given fractions.

LCM of 34,308 is 5236 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8002,6009

GCF of Fractions 8002/34,6009/308 is 1/5236

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

Greatest Common Factor of 8002,6009 By Matching Biggest Common Factor Method

Greatest Common Factor of 8002,6009 By Matching Biggest Common Factor Method

Factors of 8002

List of positive integer factors of 8002 that divides 8002 without a remainder.

1,2,4001,8002

Factors of 6009

List of positive integer factors of 6009 that divides 6009 without a remainder.

1,3,2003,6009

Greatest Common Factor

We found the factors 8002,6009 . The biggest common factor number is the GCF number.
So the greatest common factor 8002,6009 is 1.

Lets's calculate LCM of 34,308

2 34, 308
17, 154

∴ So the LCM of the given numbers is 2 x 17 x 154 = 5236

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5236

Therefore, the GCF of Fractions 8002/34,6009/308 is 1/5236

Least Common Multiple of 34,308 with GCF Formula

Least Common Multiple of 34,308 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 34,308 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,308) = 2

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

GCF(34,308) x common factors =2 x 1 = 2

LCM(34,308) = ( 34 × 308 ) / 2

LCM(34,308) = 10472 / 2

LCM(34,308) = 5236


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 8002/34, 6009/308

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 8002/34, 6009/308?

Answer: GCF of Numerators as per given numbers 8002/34, 6009/308 is

GCF of Numerators i.e. for 8002,6009 is 1

LCM of denominators i.e. for 34,308 is 5236.

Thus, GCF of Fractions is 1/5236.Finally, GCF of Fractions for 8002/34, 6009/308 is 1/5236.