Greatest Common Factor of 784/23, 330/13, 546/63

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 784/23, 330/13, 546/63

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 784/23,330/13,546/63

Given fractions are 784/23,330/13,546/63

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 784,330,546

Greatest Common Factor of Numerators i.e. GCF of 784,330,546 is 2 .

LCM of Denominators means LCM of 23,13,63 as per the given fractions.

LCM of 23,13,63 is 18837 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 784,330,546

GCF of Fractions 784/23,330/13,546/63 is 2/18837

2 784, 330, 546
392, 165, 273

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 784,330,546 By Matching Biggest Common Factor Method

Greatest Common Factor of 784,330,546 By Matching Biggest Common Factor Method

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

Factors of 330

List of positive integer factors of 330 that divides 330 without a remainder.

1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Greatest Common Factor

We found the factors 784,330,546 . The biggest common factor number is the GCF number.
So the greatest common factor 784,330,546 is 2.

Lets's calculate LCM of 23,13,63

Given numbers has no common factors except 1. So, there LCM is their product i.e 18837

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/18837

Therefore, the GCF of Fractions 784/23,330/13,546/63 is 2/18837

Least Common Multiple of 23,13,63 with GCF Formula

Least Common Multiple of 23,13,63 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 23,13,63 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,13,63) = 1

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

GCF(23,13,63) x common factors =1 x 1 = 1

LCM(23,13,63) = ( 23 × 13 × 63 ) / 1

LCM(23,13,63) = 18837 / 1

LCM(23,13,63) = 18837


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 784/23, 330/13, 546/63

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 784/23, 330/13, 546/63?

Answer: GCF of Numerators as per given numbers 784/23, 330/13, 546/63 is

GCF of Numerators i.e. for 784,330,546 is 2

LCM of denominators i.e. for 23,13,63 is 18837.

Thus, GCF of Fractions is 2/18837.Finally, GCF of Fractions for 784/23, 330/13, 546/63 is 2/18837.