GCD of 211, 420, 45, 650 Calculator

Given Input numbers are 211, 420, 45, 650

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

Divisors of 211

List of positive integer divisors of 211 that divides 211 without a remainder.

1, 211

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

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

Greatest Common Divisior

We found the divisors of 211, 420, 45, 650 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 211, 420, 45, 650 is 1.

Therefore, GCD of numbers 211, 420, 45, 650 is 1

Given Input Data is 211, 420, 45, 650

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

Prime Factorization of 211 is 211

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 45 is 3 x 3 x 5

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

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(211, 420) = 88620

GCD(211, 420) = ( 211 x 420 ) / 88620

GCD(211, 420) = 88620 / 88620

GCD(211, 420) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 45

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

LCM(1, 45) = 45

GCD(1, 45) = ( 1 x 45 ) / 45

GCD(1, 45) = 45 / 45

GCD(1, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 650

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

LCM(1, 650) = 650

GCD(1, 650) = ( 1 x 650 ) / 650

GCD(1, 650) = 650 / 650

GCD(1, 650) = 1

GCD of 211, 420, 45, 650 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 104, 554, 54, 902
• GCD of 100, 419, 38, 757
• GCD of 301, 207, 39, 923
• GCD of 345, 564, 92, 783
• GCD of 659, 383, 31, 242

1. What is the GCD of 211, 420, 45, 650?

GCD of 211, 420, 45, 650 is 1

2. Where do I get the detailed procedure to find GCD of 211, 420, 45, 650?

You can find a detailed procedure to find GCD of 211, 420, 45, 650 on our page.

3. How to find GCD of 211, 420, 45, 650 on a calculator?

You can find the GCD of 211, 420, 45, 650 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.