GCD of 60, 251, 474, 538 Calculator

Given Input numbers are 60, 251, 474, 538

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

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 251

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

1, 251

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Greatest Common Divisior

We found the divisors of 60, 251, 474, 538 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 60, 251, 474, 538 is 1.

Therefore, GCD of numbers 60, 251, 474, 538 is 1

Given Input Data is 60, 251, 474, 538

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

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

Prime Factorization of 251 is 251

Prime Factorization of 474 is 2 x 3 x 79

Prime Factorization of 538 is 2 x 269

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(60, 251) = 15060

GCD(60, 251) = ( 60 x 251 ) / 15060

GCD(60, 251) = 15060 / 15060

GCD(60, 251) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 474

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

LCM(1, 474) = 474

GCD(1, 474) = ( 1 x 474 ) / 474

GCD(1, 474) = 474 / 474

GCD(1, 474) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 538

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

LCM(1, 538) = 538

GCD(1, 538) = ( 1 x 538 ) / 538

GCD(1, 538) = 538 / 538

GCD(1, 538) = 1

GCD of 60, 251, 474, 538 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 94, 981, 713, 675
• GCD of 90, 984, 148, 359
• GCD of 73, 866, 958, 215
• GCD of 38, 892, 305, 786
• GCD of 84, 224, 569, 162

1. What is the GCD of 60, 251, 474, 538?

GCD of 60, 251, 474, 538 is 1

2. Where do I get the detailed procedure to find GCD of 60, 251, 474, 538?

You can find a detailed procedure to find GCD of 60, 251, 474, 538 on our page.

3. How to find GCD of 60, 251, 474, 538 on a calculator?

You can find the GCD of 60, 251, 474, 538 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.