GCD of 525, 646, 56, 689 Calculator

Given Input numbers are 525, 646, 56, 689

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

Divisors of 525

List of positive integer divisors of 525 that divides 525 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Divisors of 646

List of positive integer divisors of 646 that divides 646 without a remainder.

1, 2, 17, 19, 34, 38, 323, 646

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 689

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

1, 13, 53, 689

Greatest Common Divisior

We found the divisors of 525, 646, 56, 689 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 525, 646, 56, 689 is 1.

Therefore, GCD of numbers 525, 646, 56, 689 is 1

Given Input Data is 525, 646, 56, 689

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

Prime Factorization of 525 is 3 x 5 x 5 x 7

Prime Factorization of 646 is 2 x 17 x 19

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 689 is 13 x 53

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(525, 646) = 339150

GCD(525, 646) = ( 525 x 646 ) / 339150

GCD(525, 646) = 339150 / 339150

GCD(525, 646) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 56

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

LCM(1, 56) = 56

GCD(1, 56) = ( 1 x 56 ) / 56

GCD(1, 56) = 56 / 56

GCD(1, 56) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 689

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

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

GCD(1, 689) = 689 / 689

GCD(1, 689) = 1

GCD of 525, 646, 56, 689 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 777, 956, 40, 529
• GCD of 607, 644, 89, 582
• GCD of 611, 313, 27, 458
• GCD of 569, 660, 85, 761
• GCD of 390, 786, 22, 945

1. What is the GCD of 525, 646, 56, 689?

GCD of 525, 646, 56, 689 is 1

2. Where do I get the detailed procedure to find GCD of 525, 646, 56, 689?

You can find a detailed procedure to find GCD of 525, 646, 56, 689 on our page.

3. How to find GCD of 525, 646, 56, 689 on a calculator?

You can find the GCD of 525, 646, 56, 689 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.