Greatest Common Factor of 6607/465, 5302/360

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6607/465, 5302/360

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 6607/465,5302/360

Given fractions are 6607/465,5302/360

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 6607,5302

Greatest Common Factor of Numerators i.e. GCF of 6607,5302 is 1 .

LCM of Denominators means LCM of 465,360 as per the given fractions.

LCM of 465,360 is 11160 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6607,5302

GCF of Fractions 6607/465,5302/360 is 1/11160

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

Greatest Common Factor of 6607,5302 By Matching Biggest Common Factor Method

Greatest Common Factor of 6607,5302 By Matching Biggest Common Factor Method

Factors of 6607

List of positive integer factors of 6607 that divides 6607 without a remainder.

1,6607

Factors of 5302

List of positive integer factors of 5302 that divides 5302 without a remainder.

1,2,11,22,241,482,2651,5302

Greatest Common Factor

We found the factors 6607,5302 . The biggest common factor number is the GCF number.
So the greatest common factor 6607,5302 is 1.

Lets's calculate LCM of 465,360

3 465, 360
5 155, 120
31, 24

∴ So the LCM of the given numbers is 3 x 5 x 31 x 24 = 11160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11160

Therefore, the GCF of Fractions 6607/465,5302/360 is 1/11160

Least Common Multiple of 465,360 with GCF Formula

Least Common Multiple of 465,360 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 465,360 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(465,360) = 15

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

GCF(465,360) x common factors =15 x 1 = 15

LCM(465,360) = ( 465 × 360 ) / 15

LCM(465,360) = 167400 / 15

LCM(465,360) = 11160


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 6607/465, 5302/360

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 6607/465, 5302/360?

Answer: GCF of Numerators as per given numbers 6607/465, 5302/360 is

GCF of Numerators i.e. for 6607,5302 is 1

LCM of denominators i.e. for 465,360 is 11160.

Thus, GCF of Fractions is 1/11160.Finally, GCF of Fractions for 6607/465, 5302/360 is 1/11160.