Greatest Common Factor of 6607/480, 6603/228

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6607/480, 6603/228

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 6607/480,6603/228

Given fractions are 6607/480,6603/228

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 6607,6603

Greatest Common Factor of Numerators i.e. GCF of 6607,6603 is 1 .

LCM of Denominators means LCM of 480,228 as per the given fractions.

LCM of 480,228 is 9120 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6607,6603

GCF of Fractions 6607/480,6603/228 is 1/9120

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

Greatest Common Factor of 6607,6603 By Matching Biggest Common Factor Method

Greatest Common Factor of 6607,6603 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 6603

List of positive integer factors of 6603 that divides 6603 without a remainder.

1,3,31,71,93,213,2201,6603

Greatest Common Factor

We found the factors 6607,6603 . The biggest common factor number is the GCF number.
So the greatest common factor 6607,6603 is 1.

Lets's calculate LCM of 480,228

2 480, 228
2 240, 114
3 120, 57
40, 19

∴ So the LCM of the given numbers is 2 x 2 x 3 x 40 x 19 = 9120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9120

Therefore, the GCF of Fractions 6607/480,6603/228 is 1/9120

Least Common Multiple of 480,228 with GCF Formula

Least Common Multiple of 480,228 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 480,228 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(480,228) = 12

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

GCF(480,228) x common factors =12 x 1 = 12

LCM(480,228) = ( 480 × 228 ) / 12

LCM(480,228) = 109440 / 12

LCM(480,228) = 9120


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 6607/480, 6603/228

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 6607/480, 6603/228?

Answer: GCF of Numerators as per given numbers 6607/480, 6603/228 is

GCF of Numerators i.e. for 6607,6603 is 1

LCM of denominators i.e. for 480,228 is 9120.

Thus, GCF of Fractions is 1/9120.Finally, GCF of Fractions for 6607/480, 6603/228 is 1/9120.