GCD of 10, 537, 268, 504 Calculator

Given Input numbers are 10, 537, 268, 504

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

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 537

List of positive integer divisors of 537 that divides 537 without a remainder.

1, 3, 179, 537

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

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 10, 537, 268, 504 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 10, 537, 268, 504 is 1.

Therefore, GCD of numbers 10, 537, 268, 504 is 1

Given Input Data is 10, 537, 268, 504

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

Prime Factorization of 10 is 2 x 5

Prime Factorization of 537 is 3 x 179

Prime Factorization of 268 is 2 x 2 x 67

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(10, 537) = 5370

GCD(10, 537) = ( 10 x 537 ) / 5370

GCD(10, 537) = 5370 / 5370

GCD(10, 537) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 268

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

LCM(1, 268) = 268

GCD(1, 268) = ( 1 x 268 ) / 268

GCD(1, 268) = 268 / 268

GCD(1, 268) = 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 10, 537, 268, 504 is 1

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1. What is the GCD of 10, 537, 268, 504?

GCD of 10, 537, 268, 504 is 1

2. Where do I get the detailed procedure to find GCD of 10, 537, 268, 504?

You can find a detailed procedure to find GCD of 10, 537, 268, 504 on our page.

3. How to find GCD of 10, 537, 268, 504 on a calculator?

You can find the GCD of 10, 537, 268, 504 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.