Greatest Common Factor of 6324/452, 2097/1764

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6324/452, 2097/1764

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 6324/452,2097/1764

Given fractions are 6324/452,2097/1764

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 6324,2097

Greatest Common Factor of Numerators i.e. GCF of 6324,2097 is 3 .

LCM of Denominators means LCM of 452,1764 as per the given fractions.

LCM of 452,1764 is 199332 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6324,2097

GCF of Fractions 6324/452,2097/1764 is 3/199332

3 6324, 2097
2108, 699

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 6324,2097 By Matching Biggest Common Factor Method

Greatest Common Factor of 6324,2097 By Matching Biggest Common Factor Method

Factors of 6324

List of positive integer factors of 6324 that divides 6324 without a remainder.

1,2,3,4,6,12,17,31,34,51,62,68,93,102,124,186,204,372,527,1054,1581,2108,3162,6324

Factors of 2097

List of positive integer factors of 2097 that divides 2097 without a remainder.

1,3,9,233,699,2097

Greatest Common Factor

We found the factors 6324,2097 . The biggest common factor number is the GCF number.
So the greatest common factor 6324,2097 is 3.

Lets's calculate LCM of 452,1764

2 452, 1764
2 226, 882
113, 441

∴ So the LCM of the given numbers is 2 x 2 x 113 x 441 = 199332

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/199332

Therefore, the GCF of Fractions 6324/452,2097/1764 is 3/199332

Least Common Multiple of 452,1764 with GCF Formula

Least Common Multiple of 452,1764 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 452,1764 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(452,1764) = 4

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

GCF(452,1764) x common factors =4 x 1 = 4

LCM(452,1764) = ( 452 × 1764 ) / 4

LCM(452,1764) = 797328 / 4

LCM(452,1764) = 199332


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 6324/452, 2097/1764

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 6324/452, 2097/1764?

Answer: GCF of Numerators as per given numbers 6324/452, 2097/1764 is

GCF of Numerators i.e. for 6324,2097 is 3

LCM of denominators i.e. for 452,1764 is 199332.

Thus, GCF of Fractions is 3/199332.Finally, GCF of Fractions for 6324/452, 2097/1764 is 3/199332.