GCD of 654, 936, 775, 737 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 654, 936, 775, 737 i.e. 1 largest integer that divides all the numbers equally.

GCD of 654, 936, 775, 737 is 1

GCD(654, 936, 775, 737) = 1

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

GCD of

GCD of numbers 654, 936, 775, 737 is 1

GCD(654, 936, 775, 737) = 1

GCD of 654,936,775,737 Calculator

GCDof 654,936,775,737 is 1

Given Input numbers are 654, 936, 775, 737

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

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 936

List of positive integer divisors of 936 that divides 936 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Divisors of 775

List of positive integer divisors of 775 that divides 775 without a remainder.

1, 5, 25, 31, 155, 775

Divisors of 737

List of positive integer divisors of 737 that divides 737 without a remainder.

1, 11, 67, 737

Greatest Common Divisior

We found the divisors of 654, 936, 775, 737 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 654, 936, 775, 737 is 1.

Therefore, GCD of numbers 654, 936, 775, 737 is 1

Finding GCD of 654, 936, 775, 737 using Prime Factorization

Given Input Data is 654, 936, 775, 737

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

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13

Prime Factorization of 775 is 5 x 5 x 31

Prime Factorization of 737 is 11 x 67

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

Finding GCD of 654, 936, 775, 737 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(654, 936) = 102024

GCD(654, 936) = ( 654 x 936 ) / 102024

GCD(654, 936) = 612144 / 102024

GCD(654, 936) = 6


Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 775

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

LCM(6, 775) = 4650

GCD(6, 775) = ( 6 x 775 ) / 4650

GCD(6, 775) = 4650 / 4650

GCD(6, 775) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 737

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

LCM(1, 737) = 737

GCD(1, 737) = ( 1 x 737 ) / 737

GCD(1, 737) = 737 / 737

GCD(1, 737) = 1

GCD of 654, 936, 775, 737 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 654, 936, 775, 737

1. What is the GCD of 654, 936, 775, 737?

GCD of 654, 936, 775, 737 is 1


2. Where do I get the detailed procedure to find GCD of 654, 936, 775, 737?

You can find a detailed procedure to find GCD of 654, 936, 775, 737 on our page.


3. How to find GCD of 654, 936, 775, 737 on a calculator?

You can find the GCD of 654, 936, 775, 737 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.