GCD of 821, 650, 75, 212 Calculator

Given Input numbers are 821, 650, 75, 212

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

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

Divisors of 650

List of positive integer divisors of 650 that divides 650 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 212

List of positive integer divisors of 212 that divides 212 without a remainder.

1, 2, 4, 53, 106, 212

Greatest Common Divisior

We found the divisors of 821, 650, 75, 212 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 821, 650, 75, 212 is 1.

Therefore, GCD of numbers 821, 650, 75, 212 is 1

Given Input Data is 821, 650, 75, 212

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

Prime Factorization of 821 is 821

Prime Factorization of 650 is 2 x 5 x 5 x 13

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 212 is 2 x 2 x 53

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(821, 650) = 533650

GCD(821, 650) = ( 821 x 650 ) / 533650

GCD(821, 650) = 533650 / 533650

GCD(821, 650) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 75

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

LCM(1, 75) = 75

GCD(1, 75) = ( 1 x 75 ) / 75

GCD(1, 75) = 75 / 75

GCD(1, 75) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 212

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

LCM(1, 212) = 212

GCD(1, 212) = ( 1 x 212 ) / 212

GCD(1, 212) = 212 / 212

GCD(1, 212) = 1

GCD of 821, 650, 75, 212 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 633, 387, 43, 817
• GCD of 436, 779, 10, 737
• GCD of 548, 789, 54, 910
• GCD of 269, 782, 10, 442
• GCD of 200, 318, 30, 901

1. What is the GCD of 821, 650, 75, 212?

GCD of 821, 650, 75, 212 is 1

2. Where do I get the detailed procedure to find GCD of 821, 650, 75, 212?

You can find a detailed procedure to find GCD of 821, 650, 75, 212 on our page.

3. How to find GCD of 821, 650, 75, 212 on a calculator?

You can find the GCD of 821, 650, 75, 212 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.