GCD of 975, 226, 216, 180 Calculator

Given Input numbers are 975, 226, 216, 180

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

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 226

List of positive integer divisors of 226 that divides 226 without a remainder.

1, 2, 113, 226

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Greatest Common Divisior

We found the divisors of 975, 226, 216, 180 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 975, 226, 216, 180 is 1.

Therefore, GCD of numbers 975, 226, 216, 180 is 1

Given Input Data is 975, 226, 216, 180

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

Prime Factorization of 975 is 3 x 5 x 5 x 13

Prime Factorization of 226 is 2 x 113

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 180 is 2 x 2 x 3 x 3 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(975, 226) = 220350

GCD(975, 226) = ( 975 x 226 ) / 220350

GCD(975, 226) = 220350 / 220350

GCD(975, 226) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 216

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

LCM(1, 216) = 216

GCD(1, 216) = ( 1 x 216 ) / 216

GCD(1, 216) = 216 / 216

GCD(1, 216) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 180

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

LCM(1, 180) = 180

GCD(1, 180) = ( 1 x 180 ) / 180

GCD(1, 180) = 180 / 180

GCD(1, 180) = 1

GCD of 975, 226, 216, 180 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 574, 224, 723, 409
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• GCD of 775, 640, 991, 336
• GCD of 358, 428, 318, 952
• GCD of 440, 168, 603, 982

1. What is the GCD of 975, 226, 216, 180?

GCD of 975, 226, 216, 180 is 1

2. Where do I get the detailed procedure to find GCD of 975, 226, 216, 180?

You can find a detailed procedure to find GCD of 975, 226, 216, 180 on our page.

3. How to find GCD of 975, 226, 216, 180 on a calculator?

You can find the GCD of 975, 226, 216, 180 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.