GCD of 63, 687, 523, 960 Calculator

Given Input numbers are 63, 687, 523, 960

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

Divisors of 63

List of positive integer divisors of 63 that divides 63 without a remainder.

1, 3, 7, 9, 21, 63

Divisors of 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Divisors of 523

List of positive integer divisors of 523 that divides 523 without a remainder.

1, 523

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Greatest Common Divisior

We found the divisors of 63, 687, 523, 960 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 63, 687, 523, 960 is 1.

Therefore, GCD of numbers 63, 687, 523, 960 is 1

Given Input Data is 63, 687, 523, 960

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

Prime Factorization of 63 is 3 x 3 x 7

Prime Factorization of 687 is 3 x 229

Prime Factorization of 523 is 523

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

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(63, 687) = 14427

GCD(63, 687) = ( 63 x 687 ) / 14427

GCD(63, 687) = 43281 / 14427

GCD(63, 687) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 523

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

LCM(3, 523) = 1569

GCD(3, 523) = ( 3 x 523 ) / 1569

GCD(3, 523) = 1569 / 1569

GCD(3, 523) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 960

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

LCM(1, 960) = 960

GCD(1, 960) = ( 1 x 960 ) / 960

GCD(1, 960) = 960 / 960

GCD(1, 960) = 1

GCD of 63, 687, 523, 960 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 69, 974, 563, 634
• GCD of 10, 862, 705, 234
• GCD of 16, 529, 893, 493
• GCD of 86, 731, 737, 140
• GCD of 47, 138, 472, 136

1. What is the GCD of 63, 687, 523, 960?

GCD of 63, 687, 523, 960 is 1

2. Where do I get the detailed procedure to find GCD of 63, 687, 523, 960?

You can find a detailed procedure to find GCD of 63, 687, 523, 960 on our page.

3. How to find GCD of 63, 687, 523, 960 on a calculator?

You can find the GCD of 63, 687, 523, 960 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.