GCD of 659, 406, 784, 370 Calculator

Given Input numbers are 659, 406, 784, 370

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

Divisors of 659

List of positive integer divisors of 659 that divides 659 without a remainder.

1, 659

Divisors of 406

List of positive integer divisors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

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 370

List of positive integer divisors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

Greatest Common Divisior

We found the divisors of 659, 406, 784, 370 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 659, 406, 784, 370 is 1.

Therefore, GCD of numbers 659, 406, 784, 370 is 1

Given Input Data is 659, 406, 784, 370

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

Prime Factorization of 659 is 659

Prime Factorization of 406 is 2 x 7 x 29

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

Prime Factorization of 370 is 2 x 5 x 37

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(659, 406) = 267554

GCD(659, 406) = ( 659 x 406 ) / 267554

GCD(659, 406) = 267554 / 267554

GCD(659, 406) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 784

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

LCM(1, 784) = 784

GCD(1, 784) = ( 1 x 784 ) / 784

GCD(1, 784) = 784 / 784

GCD(1, 784) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 370

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

LCM(1, 370) = 370

GCD(1, 370) = ( 1 x 370 ) / 370

GCD(1, 370) = 370 / 370

GCD(1, 370) = 1

GCD of 659, 406, 784, 370 is 1

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1. What is the GCD of 659, 406, 784, 370?

GCD of 659, 406, 784, 370 is 1

2. Where do I get the detailed procedure to find GCD of 659, 406, 784, 370?

You can find a detailed procedure to find GCD of 659, 406, 784, 370 on our page.

3. How to find GCD of 659, 406, 784, 370 on a calculator?

You can find the GCD of 659, 406, 784, 370 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.