GCD of 600, 471, 85, 625 Calculator

Given Input numbers are 600, 471, 85, 625

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 471

List of positive integer divisors of 471 that divides 471 without a remainder.

1, 3, 157, 471

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 625

List of positive integer divisors of 625 that divides 625 without a remainder.

1, 5, 25, 125, 625

Greatest Common Divisior

We found the divisors of 600, 471, 85, 625 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 600, 471, 85, 625 is 1.

Therefore, GCD of numbers 600, 471, 85, 625 is 1

Given Input Data is 600, 471, 85, 625

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 471 is 3 x 157

Prime Factorization of 85 is 5 x 17

Prime Factorization of 625 is 5 x 5 x 5 x 5

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, 471) = 94200

GCD(600, 471) = ( 600 x 471 ) / 94200

GCD(600, 471) = 282600 / 94200

GCD(600, 471) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 85

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

LCM(3, 85) = 255

GCD(3, 85) = ( 3 x 85 ) / 255

GCD(3, 85) = 255 / 255

GCD(3, 85) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 625

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

LCM(1, 625) = 625

GCD(1, 625) = ( 1 x 625 ) / 625

GCD(1, 625) = 625 / 625

GCD(1, 625) = 1

GCD of 600, 471, 85, 625 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 108, 900, 53, 341
• GCD of 401, 603, 62, 596
• GCD of 976, 949, 98, 612
• GCD of 941, 310, 42, 614
• GCD of 423, 744, 48, 436

1. What is the GCD of 600, 471, 85, 625?

GCD of 600, 471, 85, 625 is 1

2. Where do I get the detailed procedure to find GCD of 600, 471, 85, 625?

You can find a detailed procedure to find GCD of 600, 471, 85, 625 on our page.

3. How to find GCD of 600, 471, 85, 625 on a calculator?

You can find the GCD of 600, 471, 85, 625 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.