Greatest Common Factor of 6007/456, 8298/3425

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6007/456, 8298/3425

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 6007/456,8298/3425

Given fractions are 6007/456,8298/3425

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 6007,8298

Greatest Common Factor of Numerators i.e. GCF of 6007,8298 is 1 .

LCM of Denominators means LCM of 456,3425 as per the given fractions.

LCM of 456,3425 is 1561800 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6007,8298

GCF of Fractions 6007/456,8298/3425 is 1/1561800

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

Greatest Common Factor of 6007,8298 By Matching Biggest Common Factor Method

Greatest Common Factor of 6007,8298 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 8298

List of positive integer factors of 8298 that divides 8298 without a remainder.

1,2,3,6,9,18,461,922,1383,2766,4149,8298

Greatest Common Factor

We found the factors 6007,8298 . The biggest common factor number is the GCF number.
So the greatest common factor 6007,8298 is 1.

Lets's calculate LCM of 456,3425

Given numbers has no common factors except 1. So, there LCM is their product i.e 1561800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1561800

Therefore, the GCF of Fractions 6007/456,8298/3425 is 1/1561800

Least Common Multiple of 456,3425 with GCF Formula

Least Common Multiple of 456,3425 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 456,3425 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(456,3425) = 1

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

GCF(456,3425) x common factors =1 x 1 = 1

LCM(456,3425) = ( 456 × 3425 ) / 1

LCM(456,3425) = 1561800 / 1

LCM(456,3425) = 1561800


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 6007/456, 8298/3425

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 6007/456, 8298/3425?

Answer: GCF of Numerators as per given numbers 6007/456, 8298/3425 is

GCF of Numerators i.e. for 6007,8298 is 1

LCM of denominators i.e. for 456,3425 is 1561800.

Thus, GCF of Fractions is 1/1561800.Finally, GCF of Fractions for 6007/456, 8298/3425 is 1/1561800.