GCD of 503, 268, 10, 107 Calculator

Given Input numbers are 503, 268, 10, 107

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

Divisors of 503

List of positive integer divisors of 503 that divides 503 without a remainder.

1, 503

Divisors of 268

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

1, 2, 4, 67, 134, 268

Divisors of 10

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

1, 2, 5, 10

Divisors of 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Greatest Common Divisior

We found the divisors of 503, 268, 10, 107 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 503, 268, 10, 107 is 1.

Therefore, GCD of numbers 503, 268, 10, 107 is 1

Given Input Data is 503, 268, 10, 107

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

Prime Factorization of 503 is 503

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 10 is 2 x 5

Prime Factorization of 107 is 107

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(503, 268) = 134804

GCD(503, 268) = ( 503 x 268 ) / 134804

GCD(503, 268) = 134804 / 134804

GCD(503, 268) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 10

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

LCM(1, 10) = 10

GCD(1, 10) = ( 1 x 10 ) / 10

GCD(1, 10) = 10 / 10

GCD(1, 10) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 107

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

LCM(1, 107) = 107

GCD(1, 107) = ( 1 x 107 ) / 107

GCD(1, 107) = 107 / 107

GCD(1, 107) = 1

GCD of 503, 268, 10, 107 is 1

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1. What is the GCD of 503, 268, 10, 107?

GCD of 503, 268, 10, 107 is 1

2. Where do I get the detailed procedure to find GCD of 503, 268, 10, 107?

You can find a detailed procedure to find GCD of 503, 268, 10, 107 on our page.

3. How to find GCD of 503, 268, 10, 107 on a calculator?

You can find the GCD of 503, 268, 10, 107 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.