GCD of 64, 502, 687, 504 Calculator

Given Input numbers are 64, 502, 687, 504

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

Divisors of 64

List of positive integer divisors of 64 that divides 64 without a remainder.

1, 2, 4, 8, 16, 32, 64

Divisors of 502

List of positive integer divisors of 502 that divides 502 without a remainder.

1, 2, 251, 502

Divisors of 687

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

1, 3, 229, 687

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Greatest Common Divisior

We found the divisors of 64, 502, 687, 504 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 64, 502, 687, 504 is 1.

Therefore, GCD of numbers 64, 502, 687, 504 is 1

Given Input Data is 64, 502, 687, 504

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

Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 502 is 2 x 251

Prime Factorization of 687 is 3 x 229

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

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(64, 502) = 16064

GCD(64, 502) = ( 64 x 502 ) / 16064

GCD(64, 502) = 32128 / 16064

GCD(64, 502) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 687

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

LCM(2, 687) = 1374

GCD(2, 687) = ( 2 x 687 ) / 1374

GCD(2, 687) = 1374 / 1374

GCD(2, 687) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 504

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

LCM(1, 504) = 504

GCD(1, 504) = ( 1 x 504 ) / 504

GCD(1, 504) = 504 / 504

GCD(1, 504) = 1

GCD of 64, 502, 687, 504 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 15, 571, 974, 624
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• GCD of 26, 915, 882, 743
• GCD of 58, 512, 640, 246

1. What is the GCD of 64, 502, 687, 504?

GCD of 64, 502, 687, 504 is 1

2. Where do I get the detailed procedure to find GCD of 64, 502, 687, 504?

You can find a detailed procedure to find GCD of 64, 502, 687, 504 on our page.

3. How to find GCD of 64, 502, 687, 504 on a calculator?

You can find the GCD of 64, 502, 687, 504 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.