GCD of 528, 620, 612, 657 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 528, 620, 612, 657 i.e. 1 largest integer that divides all the numbers equally.

GCD of 528, 620, 612, 657 is 1

GCD(528, 620, 612, 657) = 1

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

GCD of

GCD of numbers 528, 620, 612, 657 is 1

GCD(528, 620, 612, 657) = 1

GCD of 528,620,612,657 Calculator

GCDof 528,620,612,657 is 1

Given Input numbers are 528, 620, 612, 657

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

Divisors of 528

List of positive integer divisors of 528 that divides 528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 620

List of positive integer divisors of 620 that divides 620 without a remainder.

1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

Divisors of 612

List of positive integer divisors of 612 that divides 612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 657

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

1, 3, 9, 73, 219, 657

Greatest Common Divisior

We found the divisors of 528, 620, 612, 657 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 528, 620, 612, 657 is 1.

Therefore, GCD of numbers 528, 620, 612, 657 is 1

Finding GCD of 528, 620, 612, 657 using Prime Factorization

Given Input Data is 528, 620, 612, 657

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

Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11

Prime Factorization of 620 is 2 x 2 x 5 x 31

Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17

Prime Factorization of 657 is 3 x 3 x 73

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

Finding GCD of 528, 620, 612, 657 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(528, 620) = 81840

GCD(528, 620) = ( 528 x 620 ) / 81840

GCD(528, 620) = 327360 / 81840

GCD(528, 620) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 612

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

LCM(4, 612) = 612

GCD(4, 612) = ( 4 x 612 ) / 612

GCD(4, 612) = 2448 / 612

GCD(4, 612) = 4


Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 657

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

LCM(4, 657) = 2628

GCD(4, 657) = ( 4 x 657 ) / 2628

GCD(4, 657) = 2628 / 2628

GCD(4, 657) = 1

GCD of 528, 620, 612, 657 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 528, 620, 612, 657

1. What is the GCD of 528, 620, 612, 657?

GCD of 528, 620, 612, 657 is 1


2. Where do I get the detailed procedure to find GCD of 528, 620, 612, 657?

You can find a detailed procedure to find GCD of 528, 620, 612, 657 on our page.


3. How to find GCD of 528, 620, 612, 657 on a calculator?

You can find the GCD of 528, 620, 612, 657 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.