GCD of 827, 267, 820, 214 Calculator

Given Input numbers are 827, 267, 820, 214

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

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Divisors of 267

List of positive integer divisors of 267 that divides 267 without a remainder.

1, 3, 89, 267

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 214

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

1, 2, 107, 214

Greatest Common Divisior

We found the divisors of 827, 267, 820, 214 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 827, 267, 820, 214 is 1.

Therefore, GCD of numbers 827, 267, 820, 214 is 1

Given Input Data is 827, 267, 820, 214

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

Prime Factorization of 827 is 827

Prime Factorization of 267 is 3 x 89

Prime Factorization of 820 is 2 x 2 x 5 x 41

Prime Factorization of 214 is 2 x 107

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(827, 267) = 220809

GCD(827, 267) = ( 827 x 267 ) / 220809

GCD(827, 267) = 220809 / 220809

GCD(827, 267) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 820

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

LCM(1, 820) = 820

GCD(1, 820) = ( 1 x 820 ) / 820

GCD(1, 820) = 820 / 820

GCD(1, 820) = 1

Step3:

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

GCD of 827, 267, 820, 214 is 1

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1. What is the GCD of 827, 267, 820, 214?

GCD of 827, 267, 820, 214 is 1

2. Where do I get the detailed procedure to find GCD of 827, 267, 820, 214?

You can find a detailed procedure to find GCD of 827, 267, 820, 214 on our page.

3. How to find GCD of 827, 267, 820, 214 on a calculator?

You can find the GCD of 827, 267, 820, 214 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.