GCD of 83, 150, 217, 720 Calculator

Given Input numbers are 83, 150, 217, 720

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

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Divisors of 720

List of positive integer divisors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Greatest Common Divisior

We found the divisors of 83, 150, 217, 720 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 83, 150, 217, 720 is 1.

Therefore, GCD of numbers 83, 150, 217, 720 is 1

Given Input Data is 83, 150, 217, 720

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

Prime Factorization of 83 is 83

Prime Factorization of 150 is 2 x 3 x 5 x 5

Prime Factorization of 217 is 7 x 31

Prime Factorization of 720 is 2 x 2 x 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(83, 150) = 12450

GCD(83, 150) = ( 83 x 150 ) / 12450

GCD(83, 150) = 12450 / 12450

GCD(83, 150) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 217

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

LCM(1, 217) = 217

GCD(1, 217) = ( 1 x 217 ) / 217

GCD(1, 217) = 217 / 217

GCD(1, 217) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 720

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

LCM(1, 720) = 720

GCD(1, 720) = ( 1 x 720 ) / 720

GCD(1, 720) = 720 / 720

GCD(1, 720) = 1

GCD of 83, 150, 217, 720 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 32, 431, 470, 867
• GCD of 98, 134, 178, 226
• GCD of 42, 232, 284, 158
• GCD of 70, 584, 622, 343
• GCD of 80, 654, 708, 379

1. What is the GCD of 83, 150, 217, 720?

GCD of 83, 150, 217, 720 is 1

2. Where do I get the detailed procedure to find GCD of 83, 150, 217, 720?

You can find a detailed procedure to find GCD of 83, 150, 217, 720 on our page.

3. How to find GCD of 83, 150, 217, 720 on a calculator?

You can find the GCD of 83, 150, 217, 720 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.