GCD of 53, 422, 214, 850 Calculator

Given Input numbers are 53, 422, 214, 850

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

Divisors of 53

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

1, 53

Divisors of 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Divisors of 850

List of positive integer divisors of 850 that divides 850 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

Greatest Common Divisior

We found the divisors of 53, 422, 214, 850 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 53, 422, 214, 850 is 1.

Therefore, GCD of numbers 53, 422, 214, 850 is 1

Given Input Data is 53, 422, 214, 850

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

Prime Factorization of 53 is 53

Prime Factorization of 422 is 2 x 211

Prime Factorization of 214 is 2 x 107

Prime Factorization of 850 is 2 x 5 x 5 x 17

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(53, 422) = 22366

GCD(53, 422) = ( 53 x 422 ) / 22366

GCD(53, 422) = 22366 / 22366

GCD(53, 422) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 214

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

LCM(1, 214) = 214

GCD(1, 214) = ( 1 x 214 ) / 214

GCD(1, 214) = 214 / 214

GCD(1, 214) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 850

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

LCM(1, 850) = 850

GCD(1, 850) = ( 1 x 850 ) / 850

GCD(1, 850) = 850 / 850

GCD(1, 850) = 1

GCD of 53, 422, 214, 850 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 22, 471, 752, 577
• GCD of 34, 107, 818, 644
• GCD of 69, 608, 481, 488
• GCD of 41, 384, 932, 335
• GCD of 72, 123, 947, 893

1. What is the GCD of 53, 422, 214, 850?

GCD of 53, 422, 214, 850 is 1

2. Where do I get the detailed procedure to find GCD of 53, 422, 214, 850?

You can find a detailed procedure to find GCD of 53, 422, 214, 850 on our page.

3. How to find GCD of 53, 422, 214, 850 on a calculator?

You can find the GCD of 53, 422, 214, 850 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.