Greatest Common Factor of 6007/339, 9510/1305

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6007/339, 9510/1305

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 6007/339,9510/1305

Given fractions are 6007/339,9510/1305

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 6007,9510

Greatest Common Factor of Numerators i.e. GCF of 6007,9510 is 1 .

LCM of Denominators means LCM of 339,1305 as per the given fractions.

LCM of 339,1305 is 147465 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6007,9510

GCF of Fractions 6007/339,9510/1305 is 1/147465

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

Greatest Common Factor of 6007,9510 By Matching Biggest Common Factor Method

Greatest Common Factor of 6007,9510 By Matching Biggest Common Factor Method

Factors of 6007

List of positive integer factors of 6007 that divides 6007 without a remainder.

1,6007

Factors of 9510

List of positive integer factors of 9510 that divides 9510 without a remainder.

1,2,3,5,6,10,15,30,317,634,951,1585,1902,3170,4755,9510

Greatest Common Factor

We found the factors 6007,9510 . The biggest common factor number is the GCF number.
So the greatest common factor 6007,9510 is 1.

Lets's calculate LCM of 339,1305

3 339, 1305
113, 435

∴ So the LCM of the given numbers is 3 x 113 x 435 = 147465

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/147465

Therefore, the GCF of Fractions 6007/339,9510/1305 is 1/147465

Least Common Multiple of 339,1305 with GCF Formula

Least Common Multiple of 339,1305 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 339,1305 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(339,1305) = 3

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

GCF(339,1305) x common factors =3 x 1 = 3

LCM(339,1305) = ( 339 × 1305 ) / 3

LCM(339,1305) = 442395 / 3

LCM(339,1305) = 147465


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 6007/339, 9510/1305

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 6007/339, 9510/1305?

Answer: GCF of Numerators as per given numbers 6007/339, 9510/1305 is

GCF of Numerators i.e. for 6007,9510 is 1

LCM of denominators i.e. for 339,1305 is 147465.

Thus, GCF of Fractions is 1/147465.Finally, GCF of Fractions for 6007/339, 9510/1305 is 1/147465.