GCD of 600, 901, 39, 461 Calculator

Given Input numbers are 600, 901, 39, 461

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 901

List of positive integer divisors of 901 that divides 901 without a remainder.

1, 17, 53, 901

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 461

List of positive integer divisors of 461 that divides 461 without a remainder.

1, 461

Greatest Common Divisior

We found the divisors of 600, 901, 39, 461 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 600, 901, 39, 461 is 1.

Therefore, GCD of numbers 600, 901, 39, 461 is 1

Given Input Data is 600, 901, 39, 461

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 901 is 17 x 53

Prime Factorization of 39 is 3 x 13

Prime Factorization of 461 is 461

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, 901) = 540600

GCD(600, 901) = ( 600 x 901 ) / 540600

GCD(600, 901) = 540600 / 540600

GCD(600, 901) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 39

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

LCM(1, 39) = 39

GCD(1, 39) = ( 1 x 39 ) / 39

GCD(1, 39) = 39 / 39

GCD(1, 39) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 461

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

LCM(1, 461) = 461

GCD(1, 461) = ( 1 x 461 ) / 461

GCD(1, 461) = 461 / 461

GCD(1, 461) = 1

GCD of 600, 901, 39, 461 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 812, 160, 21, 967
• GCD of 739, 999, 53, 161
• GCD of 969, 102, 32, 438
• GCD of 291, 822, 38, 477
• GCD of 865, 574, 15, 368

1. What is the GCD of 600, 901, 39, 461?

GCD of 600, 901, 39, 461 is 1

2. Where do I get the detailed procedure to find GCD of 600, 901, 39, 461?

You can find a detailed procedure to find GCD of 600, 901, 39, 461 on our page.

3. How to find GCD of 600, 901, 39, 461 on a calculator?

You can find the GCD of 600, 901, 39, 461 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.