GCD of 472, 620, 538, 505 Calculator

Given Input numbers are 472, 620, 538, 505

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

Divisors of 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 620

List of positive integer divisors of 620 that divides 620 without a remainder.

1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

Divisors of 538

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

1, 2, 269, 538

Divisors of 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

Greatest Common Divisior

We found the divisors of 472, 620, 538, 505 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 472, 620, 538, 505 is 1.

Therefore, GCD of numbers 472, 620, 538, 505 is 1

Given Input Data is 472, 620, 538, 505

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

Prime Factorization of 472 is 2 x 2 x 2 x 59

Prime Factorization of 620 is 2 x 2 x 5 x 31

Prime Factorization of 538 is 2 x 269

Prime Factorization of 505 is 5 x 101

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(472, 620) = 73160

GCD(472, 620) = ( 472 x 620 ) / 73160

GCD(472, 620) = 292640 / 73160

GCD(472, 620) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 538

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

LCM(4, 538) = 1076

GCD(4, 538) = ( 4 x 538 ) / 1076

GCD(4, 538) = 2152 / 1076

GCD(4, 538) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 505

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

LCM(2, 505) = 1010

GCD(2, 505) = ( 2 x 505 ) / 1010

GCD(2, 505) = 1010 / 1010

GCD(2, 505) = 1

GCD of 472, 620, 538, 505 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 383, 975, 243, 112
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• GCD of 761, 374, 550, 776
• GCD of 835, 373, 572, 732

1. What is the GCD of 472, 620, 538, 505?

GCD of 472, 620, 538, 505 is 1

2. Where do I get the detailed procedure to find GCD of 472, 620, 538, 505?

You can find a detailed procedure to find GCD of 472, 620, 538, 505 on our page.

3. How to find GCD of 472, 620, 538, 505 on a calculator?

You can find the GCD of 472, 620, 538, 505 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.