Greatest Common Factor of 693/33, 324/278

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 693/33, 324/278

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 693/33,324/278

Given fractions are 693/33,324/278

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 693,324

Greatest Common Factor of Numerators i.e. GCF of 693,324 is 9 .

LCM of Denominators means LCM of 33,278 as per the given fractions.

LCM of 33,278 is 9174 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 693,324

GCF of Fractions 693/33,324/278 is 9/9174

3 693, 324
3 231, 108
77, 36

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 693,324 By Matching Biggest Common Factor Method

Greatest Common Factor of 693,324 By Matching Biggest Common Factor Method

Factors of 693

List of positive integer factors of 693 that divides 693 without a remainder.

1,3,7,9,11,21,33,63,77,99,231,693

Factors of 324

List of positive integer factors of 324 that divides 324 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,324

Greatest Common Factor

We found the factors 693,324 . The biggest common factor number is the GCF number.
So the greatest common factor 693,324 is 9.

Lets's calculate LCM of 33,278

Given numbers has no common factors except 1. So, there LCM is their product i.e 9174

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/9174

Therefore, the GCF of Fractions 693/33,324/278 is 9/9174

Least Common Multiple of 33,278 with GCF Formula

Least Common Multiple of 33,278 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 33,278 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,278) = 1

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

GCF(33,278) x common factors =1 x 1 = 1

LCM(33,278) = ( 33 × 278 ) / 1

LCM(33,278) = 9174 / 1

LCM(33,278) = 9174


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 693/33, 324/278

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 693/33, 324/278?

Answer: GCF of Numerators as per given numbers 693/33, 324/278 is

GCF of Numerators i.e. for 693,324 is 9

LCM of denominators i.e. for 33,278 is 9174.

Thus, GCF of Fractions is 9/9174.Finally, GCF of Fractions for 693/33, 324/278 is 9/9174.