GCD of 678, 603, 41, 211 Calculator

Given Input numbers are 678, 603, 41, 211

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

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 603

List of positive integer divisors of 603 that divides 603 without a remainder.

1, 3, 9, 67, 201, 603

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

Divisors of 211

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

1, 211

Greatest Common Divisior

We found the divisors of 678, 603, 41, 211 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 678, 603, 41, 211 is 1.

Therefore, GCD of numbers 678, 603, 41, 211 is 1

Given Input Data is 678, 603, 41, 211

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

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 603 is 3 x 3 x 67

Prime Factorization of 41 is 41

Prime Factorization of 211 is 211

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(678, 603) = 136278

GCD(678, 603) = ( 678 x 603 ) / 136278

GCD(678, 603) = 408834 / 136278

GCD(678, 603) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 41

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

LCM(3, 41) = 123

GCD(3, 41) = ( 3 x 41 ) / 123

GCD(3, 41) = 123 / 123

GCD(3, 41) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 211

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

LCM(1, 211) = 211

GCD(1, 211) = ( 1 x 211 ) / 211

GCD(1, 211) = 211 / 211

GCD(1, 211) = 1

GCD of 678, 603, 41, 211 is 1

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1. What is the GCD of 678, 603, 41, 211?

GCD of 678, 603, 41, 211 is 1

2. Where do I get the detailed procedure to find GCD of 678, 603, 41, 211?

You can find a detailed procedure to find GCD of 678, 603, 41, 211 on our page.

3. How to find GCD of 678, 603, 41, 211 on a calculator?

You can find the GCD of 678, 603, 41, 211 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.