GCD of 503, 251, 60, 106 Calculator

Given Input numbers are 503, 251, 60, 106

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 251

List of positive integer divisors of 251 that divides 251 without a remainder.

1, 251

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Greatest Common Divisior

We found the divisors of 503, 251, 60, 106 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 503, 251, 60, 106 is 1.

Therefore, GCD of numbers 503, 251, 60, 106 is 1

Given Input Data is 503, 251, 60, 106

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

Prime Factorization of 503 is 503

Prime Factorization of 251 is 251

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 106 is 2 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(503, 251) = 126253

GCD(503, 251) = ( 503 x 251 ) / 126253

GCD(503, 251) = 126253 / 126253

GCD(503, 251) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 60

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

LCM(1, 60) = 60

GCD(1, 60) = ( 1 x 60 ) / 60

GCD(1, 60) = 60 / 60

GCD(1, 60) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 106

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

LCM(1, 106) = 106

GCD(1, 106) = ( 1 x 106 ) / 106

GCD(1, 106) = 106 / 106

GCD(1, 106) = 1

GCD of 503, 251, 60, 106 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 569, 892, 24, 456
• GCD of 133, 223, 30, 296
• GCD of 917, 284, 94, 971
• GCD of 546, 872, 61, 219
• GCD of 797, 860, 48, 842

1. What is the GCD of 503, 251, 60, 106?

GCD of 503, 251, 60, 106 is 1

2. Where do I get the detailed procedure to find GCD of 503, 251, 60, 106?

You can find a detailed procedure to find GCD of 503, 251, 60, 106 on our page.

3. How to find GCD of 503, 251, 60, 106 on a calculator?

You can find the GCD of 503, 251, 60, 106 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.