Greatest Common Factor of 324/69, 1269/488

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 324/69, 1269/488

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 324/69,1269/488

Given fractions are 324/69,1269/488

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 324,1269

Greatest Common Factor of Numerators i.e. GCF of 324,1269 is 27 .

LCM of Denominators means LCM of 69,488 as per the given fractions.

LCM of 69,488 is 33672 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 324,1269

GCF of Fractions 324/69,1269/488 is 27/33672

3 324, 1269
3 108, 423
3 36, 141
12, 47

∴ So the GCF of the given numbers is 3 x 3 x 3 = 27

Greatest Common Factor of 324,1269 By Matching Biggest Common Factor Method

Greatest Common Factor of 324,1269 By Matching Biggest Common Factor Method

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

Factors of 1269

List of positive integer factors of 1269 that divides 1269 without a remainder.

1,3,9,27,47,141,423,1269

Greatest Common Factor

We found the factors 324,1269 . The biggest common factor number is the GCF number.
So the greatest common factor 324,1269 is 27.

Lets's calculate LCM of 69,488

Given numbers has no common factors except 1. So, there LCM is their product i.e 33672

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 27/33672

Therefore, the GCF of Fractions 324/69,1269/488 is 27/33672

Least Common Multiple of 69,488 with GCF Formula

Least Common Multiple of 69,488 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 69,488 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,488) = 1

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

GCF(69,488) x common factors =1 x 1 = 1

LCM(69,488) = ( 69 × 488 ) / 1

LCM(69,488) = 33672 / 1

LCM(69,488) = 33672


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 324/69, 1269/488

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 324/69, 1269/488?

Answer: GCF of Numerators as per given numbers 324/69, 1269/488 is

GCF of Numerators i.e. for 324,1269 is 27

LCM of denominators i.e. for 69,488 is 33672.

Thus, GCF of Fractions is 27/33672.Finally, GCF of Fractions for 324/69, 1269/488 is 27/33672.