GCD of 358, 465, 85, 900 Calculator

Given Input numbers are 358, 465, 85, 900

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

Divisors of 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Divisors of 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 85

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

1, 5, 17, 85

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Greatest Common Divisior

We found the divisors of 358, 465, 85, 900 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 358, 465, 85, 900 is 1.

Therefore, GCD of numbers 358, 465, 85, 900 is 1

Given Input Data is 358, 465, 85, 900

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

Prime Factorization of 358 is 2 x 179

Prime Factorization of 465 is 3 x 5 x 31

Prime Factorization of 85 is 5 x 17

Prime Factorization of 900 is 2 x 2 x 3 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(358, 465) = 166470

GCD(358, 465) = ( 358 x 465 ) / 166470

GCD(358, 465) = 166470 / 166470

GCD(358, 465) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 85

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

LCM(1, 85) = 85

GCD(1, 85) = ( 1 x 85 ) / 85

GCD(1, 85) = 85 / 85

GCD(1, 85) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 900

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

LCM(1, 900) = 900

GCD(1, 900) = ( 1 x 900 ) / 900

GCD(1, 900) = 900 / 900

GCD(1, 900) = 1

GCD of 358, 465, 85, 900 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 505, 299, 90, 227
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• GCD of 423, 539, 90, 925

1. What is the GCD of 358, 465, 85, 900?

GCD of 358, 465, 85, 900 is 1

2. Where do I get the detailed procedure to find GCD of 358, 465, 85, 900?

You can find a detailed procedure to find GCD of 358, 465, 85, 900 on our page.

3. How to find GCD of 358, 465, 85, 900 on a calculator?

You can find the GCD of 358, 465, 85, 900 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.