GCD of 212, 680, 53, 360 Calculator

Given Input numbers are 212, 680, 53, 360

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

Divisors of 212

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

1, 2, 4, 53, 106, 212

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

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

Greatest Common Divisior

We found the divisors of 212, 680, 53, 360 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 212, 680, 53, 360 is 1.

Therefore, GCD of numbers 212, 680, 53, 360 is 1

Given Input Data is 212, 680, 53, 360

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

Prime Factorization of 212 is 2 x 2 x 53

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

Prime Factorization of 53 is 53

Prime Factorization of 360 is 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(212, 680) = 36040

GCD(212, 680) = ( 212 x 680 ) / 36040

GCD(212, 680) = 144160 / 36040

GCD(212, 680) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 53

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

LCM(4, 53) = 212

GCD(4, 53) = ( 4 x 53 ) / 212

GCD(4, 53) = 212 / 212

GCD(4, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 360

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

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

GCD(1, 360) = 360 / 360

GCD(1, 360) = 1

GCD of 212, 680, 53, 360 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 171, 209, 92, 300
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• GCD of 117, 520, 12, 352

1. What is the GCD of 212, 680, 53, 360?

GCD of 212, 680, 53, 360 is 1

2. Where do I get the detailed procedure to find GCD of 212, 680, 53, 360?

You can find a detailed procedure to find GCD of 212, 680, 53, 360 on our page.

3. How to find GCD of 212, 680, 53, 360 on a calculator?

You can find the GCD of 212, 680, 53, 360 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.