GCD of 600, 925, 661, 663 Calculator

Given Input numbers are 600, 925, 661, 663

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

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 925

List of positive integer divisors of 925 that divides 925 without a remainder.

1, 5, 25, 37, 185, 925

Divisors of 661

List of positive integer divisors of 661 that divides 661 without a remainder.

1, 661

Divisors of 663

List of positive integer divisors of 663 that divides 663 without a remainder.

1, 3, 13, 17, 39, 51, 221, 663

Greatest Common Divisior

We found the divisors of 600, 925, 661, 663 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 600, 925, 661, 663 is 1.

Therefore, GCD of numbers 600, 925, 661, 663 is 1

Given Input Data is 600, 925, 661, 663

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

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

Prime Factorization of 925 is 5 x 5 x 37

Prime Factorization of 661 is 661

Prime Factorization of 663 is 3 x 13 x 17

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(600, 925) = 22200

GCD(600, 925) = ( 600 x 925 ) / 22200

GCD(600, 925) = 555000 / 22200

GCD(600, 925) = 25

Step2:

Here we consider the GCD from the above i.e. 25 as first number and the next as 661

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

LCM(25, 661) = 16525

GCD(25, 661) = ( 25 x 661 ) / 16525

GCD(25, 661) = 16525 / 16525

GCD(25, 661) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 663

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

LCM(1, 663) = 663

GCD(1, 663) = ( 1 x 663 ) / 663

GCD(1, 663) = 663 / 663

GCD(1, 663) = 1

GCD of 600, 925, 661, 663 is 1

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1. What is the GCD of 600, 925, 661, 663?

GCD of 600, 925, 661, 663 is 1

2. Where do I get the detailed procedure to find GCD of 600, 925, 661, 663?

You can find a detailed procedure to find GCD of 600, 925, 661, 663 on our page.

3. How to find GCD of 600, 925, 661, 663 on a calculator?

You can find the GCD of 600, 925, 661, 663 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.