GCD of 917, 572, 145, 600 Calculator

Given Input numbers are 917, 572, 145, 600

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

Divisors of 917

List of positive integer divisors of 917 that divides 917 without a remainder.

1, 7, 131, 917

Divisors of 572

List of positive integer divisors of 572 that divides 572 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

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 917, 572, 145, 600 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 917, 572, 145, 600 is 1.

Therefore, GCD of numbers 917, 572, 145, 600 is 1

Given Input Data is 917, 572, 145, 600

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

Prime Factorization of 917 is 7 x 131

Prime Factorization of 572 is 2 x 2 x 11 x 13

Prime Factorization of 145 is 5 x 29

Prime Factorization of 600 is 2 x 2 x 2 x 3 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(917, 572) = 524524

GCD(917, 572) = ( 917 x 572 ) / 524524

GCD(917, 572) = 524524 / 524524

GCD(917, 572) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 145

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

LCM(1, 145) = 145

GCD(1, 145) = ( 1 x 145 ) / 145

GCD(1, 145) = 145 / 145

GCD(1, 145) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 600

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

LCM(1, 600) = 600

GCD(1, 600) = ( 1 x 600 ) / 600

GCD(1, 600) = 600 / 600

GCD(1, 600) = 1

GCD of 917, 572, 145, 600 is 1

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1. What is the GCD of 917, 572, 145, 600?

GCD of 917, 572, 145, 600 is 1

2. Where do I get the detailed procedure to find GCD of 917, 572, 145, 600?

You can find a detailed procedure to find GCD of 917, 572, 145, 600 on our page.

3. How to find GCD of 917, 572, 145, 600 on a calculator?

You can find the GCD of 917, 572, 145, 600 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.