GCD of 734, 784, 627, 604 Calculator

Given Input numbers are 734, 784, 627, 604

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

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

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 627

List of positive integer divisors of 627 that divides 627 without a remainder.

1, 3, 11, 19, 33, 57, 209, 627

Divisors of 604

List of positive integer divisors of 604 that divides 604 without a remainder.

1, 2, 4, 151, 302, 604

Greatest Common Divisior

We found the divisors of 734, 784, 627, 604 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 734, 784, 627, 604 is 1.

Therefore, GCD of numbers 734, 784, 627, 604 is 1

Given Input Data is 734, 784, 627, 604

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

Prime Factorization of 734 is 2 x 367

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

Prime Factorization of 627 is 3 x 11 x 19

Prime Factorization of 604 is 2 x 2 x 151

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(734, 784) = 287728

GCD(734, 784) = ( 734 x 784 ) / 287728

GCD(734, 784) = 575456 / 287728

GCD(734, 784) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 627

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

LCM(2, 627) = 1254

GCD(2, 627) = ( 2 x 627 ) / 1254

GCD(2, 627) = 1254 / 1254

GCD(2, 627) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 604

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

LCM(1, 604) = 604

GCD(1, 604) = ( 1 x 604 ) / 604

GCD(1, 604) = 604 / 604

GCD(1, 604) = 1

GCD of 734, 784, 627, 604 is 1

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1. What is the GCD of 734, 784, 627, 604?

GCD of 734, 784, 627, 604 is 1

2. Where do I get the detailed procedure to find GCD of 734, 784, 627, 604?

You can find a detailed procedure to find GCD of 734, 784, 627, 604 on our page.

3. How to find GCD of 734, 784, 627, 604 on a calculator?

You can find the GCD of 734, 784, 627, 604 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.