GCD of 654, 611, 131, 206 Calculator

Given Input numbers are 654, 611, 131, 206

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

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 611

List of positive integer divisors of 611 that divides 611 without a remainder.

1, 13, 47, 611

Divisors of 131

List of positive integer divisors of 131 that divides 131 without a remainder.

1, 131

Divisors of 206

List of positive integer divisors of 206 that divides 206 without a remainder.

1, 2, 103, 206

Greatest Common Divisior

We found the divisors of 654, 611, 131, 206 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 654, 611, 131, 206 is 1.

Therefore, GCD of numbers 654, 611, 131, 206 is 1

Given Input Data is 654, 611, 131, 206

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

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 611 is 13 x 47

Prime Factorization of 131 is 131

Prime Factorization of 206 is 2 x 103

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(654, 611) = 399594

GCD(654, 611) = ( 654 x 611 ) / 399594

GCD(654, 611) = 399594 / 399594

GCD(654, 611) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 131

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

LCM(1, 131) = 131

GCD(1, 131) = ( 1 x 131 ) / 131

GCD(1, 131) = 131 / 131

GCD(1, 131) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 206

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

LCM(1, 206) = 206

GCD(1, 206) = ( 1 x 206 ) / 206

GCD(1, 206) = 206 / 206

GCD(1, 206) = 1

GCD of 654, 611, 131, 206 is 1

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1. What is the GCD of 654, 611, 131, 206?

GCD of 654, 611, 131, 206 is 1

2. Where do I get the detailed procedure to find GCD of 654, 611, 131, 206?

You can find a detailed procedure to find GCD of 654, 611, 131, 206 on our page.

3. How to find GCD of 654, 611, 131, 206 on a calculator?

You can find the GCD of 654, 611, 131, 206 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.