Greatest Common Factor of 7006/12, 2967/589

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7006/12, 2967/589

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 7006/12,2967/589

Given fractions are 7006/12,2967/589

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 7006,2967

Greatest Common Factor of Numerators i.e. GCF of 7006,2967 is 1 .

LCM of Denominators means LCM of 12,589 as per the given fractions.

LCM of 12,589 is 7068 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7006,2967

GCF of Fractions 7006/12,2967/589 is 1/7068

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

Greatest Common Factor of 7006,2967 By Matching Biggest Common Factor Method

Greatest Common Factor of 7006,2967 By Matching Biggest Common Factor Method

Factors of 7006

List of positive integer factors of 7006 that divides 7006 without a remainder.

1,2,31,62,113,226,3503,7006

Factors of 2967

List of positive integer factors of 2967 that divides 2967 without a remainder.

1,3,23,43,69,129,989,2967

Greatest Common Factor

We found the factors 7006,2967 . The biggest common factor number is the GCF number.
So the greatest common factor 7006,2967 is 1.

Lets's calculate LCM of 12,589

Given numbers has no common factors except 1. So, there LCM is their product i.e 7068

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7068

Therefore, the GCF of Fractions 7006/12,2967/589 is 1/7068

Least Common Multiple of 12,589 with GCF Formula

Least Common Multiple of 12,589 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 12,589 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,589) = 1

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

GCF(12,589) x common factors =1 x 1 = 1

LCM(12,589) = ( 12 × 589 ) / 1

LCM(12,589) = 7068 / 1

LCM(12,589) = 7068


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 7006/12, 2967/589

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 7006/12, 2967/589?

Answer: GCF of Numerators as per given numbers 7006/12, 2967/589 is

GCF of Numerators i.e. for 7006,2967 is 1

LCM of denominators i.e. for 12,589 is 7068.

Thus, GCF of Fractions is 1/7068.Finally, GCF of Fractions for 7006/12, 2967/589 is 1/7068.