GCD of 67, 825, 821, 205 Calculator

Given Input numbers are 67, 825, 821, 205

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

Divisors of 67

List of positive integer divisors of 67 that divides 67 without a remainder.

1, 67

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 821

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

1, 821

Divisors of 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Greatest Common Divisior

We found the divisors of 67, 825, 821, 205 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 67, 825, 821, 205 is 1.

Therefore, GCD of numbers 67, 825, 821, 205 is 1

Given Input Data is 67, 825, 821, 205

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

Prime Factorization of 67 is 67

Prime Factorization of 825 is 3 x 5 x 5 x 11

Prime Factorization of 821 is 821

Prime Factorization of 205 is 5 x 41

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(67, 825) = 55275

GCD(67, 825) = ( 67 x 825 ) / 55275

GCD(67, 825) = 55275 / 55275

GCD(67, 825) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 821

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

LCM(1, 821) = 821

GCD(1, 821) = ( 1 x 821 ) / 821

GCD(1, 821) = 821 / 821

GCD(1, 821) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 205

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

LCM(1, 205) = 205

GCD(1, 205) = ( 1 x 205 ) / 205

GCD(1, 205) = 205 / 205

GCD(1, 205) = 1

GCD of 67, 825, 821, 205 is 1

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1. What is the GCD of 67, 825, 821, 205?

GCD of 67, 825, 821, 205 is 1

2. Where do I get the detailed procedure to find GCD of 67, 825, 821, 205?

You can find a detailed procedure to find GCD of 67, 825, 821, 205 on our page.

3. How to find GCD of 67, 825, 821, 205 on a calculator?

You can find the GCD of 67, 825, 821, 205 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.