GCD of 37, 784, 691, 206 Calculator

Given Input numbers are 37, 784, 691, 206

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

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 691

List of positive integer divisors of 691 that divides 691 without a remainder.

1, 691

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 37, 784, 691, 206 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 37, 784, 691, 206 is 1.

Therefore, GCD of numbers 37, 784, 691, 206 is 1

Given Input Data is 37, 784, 691, 206

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

Prime Factorization of 37 is 37

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

Prime Factorization of 691 is 691

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(37, 784) = 29008

GCD(37, 784) = ( 37 x 784 ) / 29008

GCD(37, 784) = 29008 / 29008

GCD(37, 784) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 691

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

LCM(1, 691) = 691

GCD(1, 691) = ( 1 x 691 ) / 691

GCD(1, 691) = 691 / 691

GCD(1, 691) = 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 37, 784, 691, 206 is 1

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• GCD of 45, 425, 116, 558
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1. What is the GCD of 37, 784, 691, 206?

GCD of 37, 784, 691, 206 is 1

2. Where do I get the detailed procedure to find GCD of 37, 784, 691, 206?

You can find a detailed procedure to find GCD of 37, 784, 691, 206 on our page.

3. How to find GCD of 37, 784, 691, 206 on a calculator?

You can find the GCD of 37, 784, 691, 206 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.