GCD of 315, 775, 570, 600 Calculator

Given Input numbers are 315, 775, 570, 600

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

Divisors of 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 775

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

1, 5, 25, 31, 155, 775

Divisors of 570

List of positive integer divisors of 570 that divides 570 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

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

Greatest Common Divisior

We found the divisors of 315, 775, 570, 600 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 315, 775, 570, 600 is 5.

Therefore, GCD of numbers 315, 775, 570, 600 is 5

Given Input Data is 315, 775, 570, 600

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

Prime Factorization of 315 is 3 x 3 x 5 x 7

Prime Factorization of 775 is 5 x 5 x 31

Prime Factorization of 570 is 2 x 3 x 5 x 19

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

Highest common occurrences in the given inputs are 5¹

Multiplying them we get the GCD as 5

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(315, 775) = 48825

GCD(315, 775) = ( 315 x 775 ) / 48825

GCD(315, 775) = 244125 / 48825

GCD(315, 775) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 570

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

LCM(5, 570) = 570

GCD(5, 570) = ( 5 x 570 ) / 570

GCD(5, 570) = 2850 / 570

GCD(5, 570) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 600

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

LCM(5, 600) = 600

GCD(5, 600) = ( 5 x 600 ) / 600

GCD(5, 600) = 3000 / 600

GCD(5, 600) = 5

GCD of 315, 775, 570, 600 is 5

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• GCD of 597, 536, 216, 923
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• GCD of 955, 317, 523, 936

1. What is the GCD of 315, 775, 570, 600?

GCD of 315, 775, 570, 600 is 5

2. Where do I get the detailed procedure to find GCD of 315, 775, 570, 600?

You can find a detailed procedure to find GCD of 315, 775, 570, 600 on our page.

3. How to find GCD of 315, 775, 570, 600 on a calculator?

You can find the GCD of 315, 775, 570, 600 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.