GCD of 627, 688, 340, 736 Calculator

Given Input numbers are 627, 688, 340, 736

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

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 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Greatest Common Divisior

We found the divisors of 627, 688, 340, 736 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 627, 688, 340, 736 is 1.

Therefore, GCD of numbers 627, 688, 340, 736 is 1

Given Input Data is 627, 688, 340, 736

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

Prime Factorization of 627 is 3 x 11 x 19

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

Prime Factorization of 340 is 2 x 2 x 5 x 17

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

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(627, 688) = 431376

GCD(627, 688) = ( 627 x 688 ) / 431376

GCD(627, 688) = 431376 / 431376

GCD(627, 688) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 340

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

LCM(1, 340) = 340

GCD(1, 340) = ( 1 x 340 ) / 340

GCD(1, 340) = 340 / 340

GCD(1, 340) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 736

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

LCM(1, 736) = 736

GCD(1, 736) = ( 1 x 736 ) / 736

GCD(1, 736) = 736 / 736

GCD(1, 736) = 1

GCD of 627, 688, 340, 736 is 1

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1. What is the GCD of 627, 688, 340, 736?

GCD of 627, 688, 340, 736 is 1

2. Where do I get the detailed procedure to find GCD of 627, 688, 340, 736?

You can find a detailed procedure to find GCD of 627, 688, 340, 736 on our page.

3. How to find GCD of 627, 688, 340, 736 on a calculator?

You can find the GCD of 627, 688, 340, 736 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.