Greatest Common Factor of 6555/216, 4503/634

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 6555/216, 4503/634

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 6555/216,4503/634

Given fractions are 6555/216,4503/634

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 6555,4503

Greatest Common Factor of Numerators i.e. GCF of 6555,4503 is 57 .

LCM of Denominators means LCM of 216,634 as per the given fractions.

LCM of 216,634 is 68472 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6555,4503

GCF of Fractions 6555/216,4503/634 is 57/68472

3 6555, 4503
19 2185, 1501
115, 79

∴ So the GCF of the given numbers is 3 x 19 = 57

Greatest Common Factor of 6555,4503 By Matching Biggest Common Factor Method

Greatest Common Factor of 6555,4503 By Matching Biggest Common Factor Method

Factors of 6555

List of positive integer factors of 6555 that divides 6555 without a remainder.

1,3,5,15,19,23,57,69,95,115,285,345,437,1311,2185,6555

Factors of 4503

List of positive integer factors of 4503 that divides 4503 without a remainder.

1,3,19,57,79,237,1501,4503

Greatest Common Factor

We found the factors 6555,4503 . The biggest common factor number is the GCF number.
So the greatest common factor 6555,4503 is 57.


Lets's calculate LCM of 216,634

2 216, 634
108, 317

∴ So the LCM of the given numbers is 2 x 108 x 317 = 68472

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 57/68472

Therefore, the GCF of Fractions 6555/216,4503/634 is 57/68472

Least Common Multiple of 216,634 with GCF Formula

Least Common Multiple of 216,634 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 216,634 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(216,634) = 2

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

GCF(216,634) x common factors =2 x 1 = 2

LCM(216,634) = ( 216 × 634 ) / 2

LCM(216,634) = 136944 / 2

LCM(216,634) = 68472


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 6555/216, 4503/634

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 6555/216, 4503/634?

Answer: GCF of Numerators as per given numbers 6555/216, 4503/634 is

GCF of Numerators i.e. for 6555,4503 is 57

LCM of denominators i.e. for 216,634 is 68472.

Thus, GCF of Fractions is 57/68472.Finally, GCF of Fractions for 6555/216, 4503/634 is 57/68472.