GCD of 75, 924, 693, 664 Calculator

Given Input numbers are 75, 924, 693, 664

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

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 924

List of positive integer divisors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 693

List of positive integer divisors of 693 that divides 693 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Greatest Common Divisior

We found the divisors of 75, 924, 693, 664 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 75, 924, 693, 664 is 1.

Therefore, GCD of numbers 75, 924, 693, 664 is 1

Given Input Data is 75, 924, 693, 664

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

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11

Prime Factorization of 693 is 3 x 3 x 7 x 11

Prime Factorization of 664 is 2 x 2 x 2 x 83

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

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(75, 924) = 23100

GCD(75, 924) = ( 75 x 924 ) / 23100

GCD(75, 924) = 69300 / 23100

GCD(75, 924) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 693

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

LCM(3, 693) = 693

GCD(3, 693) = ( 3 x 693 ) / 693

GCD(3, 693) = 2079 / 693

GCD(3, 693) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 664

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

LCM(3, 664) = 1992

GCD(3, 664) = ( 3 x 664 ) / 1992

GCD(3, 664) = 1992 / 1992

GCD(3, 664) = 1

GCD of 75, 924, 693, 664 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 60, 664, 190, 453
• GCD of 85, 902, 330, 170
• GCD of 60, 901, 129, 558
• GCD of 64, 746, 905, 847
• GCD of 13, 906, 701, 406

1. What is the GCD of 75, 924, 693, 664?

GCD of 75, 924, 693, 664 is 1

2. Where do I get the detailed procedure to find GCD of 75, 924, 693, 664?

You can find a detailed procedure to find GCD of 75, 924, 693, 664 on our page.

3. How to find GCD of 75, 924, 693, 664 on a calculator?

You can find the GCD of 75, 924, 693, 664 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.