Greatest Common Factor of 328/63, 693/36, 447/256

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 328/63, 693/36, 447/256

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 328/63,693/36,447/256

Given fractions are 328/63,693/36,447/256

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 328,693,447

Greatest Common Factor of Numerators i.e. GCF of 328,693,447 is 1 .

LCM of Denominators means LCM of 63,36,256 as per the given fractions.

LCM of 63,36,256 is 16128 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 328,693,447

GCF of Fractions 328/63,693/36,447/256 is 1/16128

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 328,693,447 By Matching Biggest Common Factor Method

Greatest Common Factor of 328,693,447 By Matching Biggest Common Factor Method

Factors of 328

List of positive integer factors of 328 that divides 328 without a remainder.

1,2,4,8,41,82,164,328

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 447

List of positive integer factors of 447 that divides 447 without a remainder.

1,3,149,447

Greatest Common Factor

We found the factors 328,693,447 . The biggest common factor number is the GCF number.
So the greatest common factor 328,693,447 is 1.

Lets's calculate LCM of 63,36,256

2 63, 36, 256
2 63, 18, 128
3 63, 9, 64
3 21, 3, 64
7, 1, 64

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 7 x 1 x 64 = 16128

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16128

Therefore, the GCF of Fractions 328/63,693/36,447/256 is 1/16128

Least Common Multiple of 63,36,256 with GCF Formula

Least Common Multiple of 63,36,256 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 63,36,256 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,36,256) = 1

common factors(in case of two or more numbers have common factors) = 36

GCF(63,36,256) x common factors =1 x 36 = 36

LCM(63,36,256) = ( 63 × 36 × 256 ) / 36

LCM(63,36,256) = 580608 / 36

LCM(63,36,256) = 16128


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 328/63, 693/36, 447/256

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 328/63, 693/36, 447/256?

Answer: GCF of Numerators as per given numbers 328/63, 693/36, 447/256 is

GCF of Numerators i.e. for 328,693,447 is 1

LCM of denominators i.e. for 63,36,256 is 16128.

Thus, GCF of Fractions is 1/16128.Finally, GCF of Fractions for 328/63, 693/36, 447/256 is 1/16128.