GCD of 680, 689, 32, 739 Calculator

Given Input numbers are 680, 689, 32, 739

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

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 739

List of positive integer divisors of 739 that divides 739 without a remainder.

1, 739

Greatest Common Divisior

We found the divisors of 680, 689, 32, 739 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 680, 689, 32, 739 is 1.

Therefore, GCD of numbers 680, 689, 32, 739 is 1

Given Input Data is 680, 689, 32, 739

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

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

Prime Factorization of 689 is 13 x 53

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 739 is 739

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(680, 689) = 468520

GCD(680, 689) = ( 680 x 689 ) / 468520

GCD(680, 689) = 468520 / 468520

GCD(680, 689) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 32

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

LCM(1, 32) = 32

GCD(1, 32) = ( 1 x 32 ) / 32

GCD(1, 32) = 32 / 32

GCD(1, 32) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 739

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

LCM(1, 739) = 739

GCD(1, 739) = ( 1 x 739 ) / 739

GCD(1, 739) = 739 / 739

GCD(1, 739) = 1

GCD of 680, 689, 32, 739 is 1

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1. What is the GCD of 680, 689, 32, 739?

GCD of 680, 689, 32, 739 is 1

2. Where do I get the detailed procedure to find GCD of 680, 689, 32, 739?

You can find a detailed procedure to find GCD of 680, 689, 32, 739 on our page.

3. How to find GCD of 680, 689, 32, 739 on a calculator?

You can find the GCD of 680, 689, 32, 739 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.