GCD of 552, 657, 760, 993 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 552, 657, 760, 993 i.e. 1 largest integer that divides all the numbers equally.

GCD of 552, 657, 760, 993 is 1

GCD(552, 657, 760, 993) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 552, 657, 760, 993 is 1

GCD(552, 657, 760, 993) = 1

GCD of 552,657,760,993 Calculator

GCDof 552,657,760,993 is 1

Given Input numbers are 552, 657, 760, 993

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 552

List of positive integer divisors of 552 that divides 552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 993

List of positive integer divisors of 993 that divides 993 without a remainder.

1, 3, 331, 993

Greatest Common Divisior

We found the divisors of 552, 657, 760, 993 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 552, 657, 760, 993 is 1.

Therefore, GCD of numbers 552, 657, 760, 993 is 1

Finding GCD of 552, 657, 760, 993 using Prime Factorization

Given Input Data is 552, 657, 760, 993

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23

Prime Factorization of 657 is 3 x 3 x 73

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

Prime Factorization of 993 is 3 x 331

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 552, 657, 760, 993 using LCM Formula

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(552, 657) = 120888

GCD(552, 657) = ( 552 x 657 ) / 120888

GCD(552, 657) = 362664 / 120888

GCD(552, 657) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 760

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(3, 760) = 2280

GCD(3, 760) = ( 3 x 760 ) / 2280

GCD(3, 760) = 2280 / 2280

GCD(3, 760) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 993

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 993) = 993

GCD(1, 993) = ( 1 x 993 ) / 993

GCD(1, 993) = 993 / 993

GCD(1, 993) = 1

GCD of 552, 657, 760, 993 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 552, 657, 760, 993

1. What is the GCD of 552, 657, 760, 993?

GCD of 552, 657, 760, 993 is 1


2. Where do I get the detailed procedure to find GCD of 552, 657, 760, 993?

You can find a detailed procedure to find GCD of 552, 657, 760, 993 on our page.


3. How to find GCD of 552, 657, 760, 993 on a calculator?

You can find the GCD of 552, 657, 760, 993 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.