Greatest Common Factor of 553/23, 576/48, 609/284

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 553/23, 576/48, 609/284

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 553/23,576/48,609/284

Given fractions are 553/23,576/48,609/284

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 553,576,609

Greatest Common Factor of Numerators i.e. GCF of 553,576,609 is 1 .

LCM of Denominators means LCM of 23,48,284 as per the given fractions.

LCM of 23,48,284 is 78384 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 553,576,609

GCF of Fractions 553/23,576/48,609/284 is 1/78384

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

Greatest Common Factor of 553,576,609 By Matching Biggest Common Factor Method

Greatest Common Factor of 553,576,609 By Matching Biggest Common Factor Method

Factors of 553

List of positive integer factors of 553 that divides 553 without a remainder.

1,7,79,553

Factors of 576

List of positive integer factors of 576 that divides 576 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576

Factors of 609

List of positive integer factors of 609 that divides 609 without a remainder.

1,3,7,21,29,87,203,609

Greatest Common Factor

We found the factors 553,576,609 . The biggest common factor number is the GCF number.
So the greatest common factor 553,576,609 is 1.

Lets's calculate LCM of 23,48,284

2 23, 48, 284
2 23, 24, 142
23, 12, 71

∴ So the LCM of the given numbers is 2 x 2 x 23 x 12 x 71 = 78384

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/78384

Therefore, the GCF of Fractions 553/23,576/48,609/284 is 1/78384

Least Common Multiple of 23,48,284 with GCF Formula

Least Common Multiple of 23,48,284 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 23,48,284 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,48,284) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(23,48,284) x common factors =1 x 4 = 4

LCM(23,48,284) = ( 23 × 48 × 284 ) / 4

LCM(23,48,284) = 313536 / 4

LCM(23,48,284) = 78384


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 553/23, 576/48, 609/284

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 553/23, 576/48, 609/284?

Answer: GCF of Numerators as per given numbers 553/23, 576/48, 609/284 is

GCF of Numerators i.e. for 553,576,609 is 1

LCM of denominators i.e. for 23,48,284 is 78384.

Thus, GCF of Fractions is 1/78384.Finally, GCF of Fractions for 553/23, 576/48, 609/284 is 1/78384.