GCD of 506, 476, 61, 375 Calculator

Given Input numbers are 506, 476, 61, 375

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

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 476

List of positive integer divisors of 476 that divides 476 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 375

List of positive integer divisors of 375 that divides 375 without a remainder.

1, 3, 5, 15, 25, 75, 125, 375

Greatest Common Divisior

We found the divisors of 506, 476, 61, 375 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 506, 476, 61, 375 is 1.

Therefore, GCD of numbers 506, 476, 61, 375 is 1

Given Input Data is 506, 476, 61, 375

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

Prime Factorization of 506 is 2 x 11 x 23

Prime Factorization of 476 is 2 x 2 x 7 x 17

Prime Factorization of 61 is 61

Prime Factorization of 375 is 3 x 5 x 5 x 5

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(506, 476) = 120428

GCD(506, 476) = ( 506 x 476 ) / 120428

GCD(506, 476) = 240856 / 120428

GCD(506, 476) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 61

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

LCM(2, 61) = 122

GCD(2, 61) = ( 2 x 61 ) / 122

GCD(2, 61) = 122 / 122

GCD(2, 61) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 375

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

LCM(1, 375) = 375

GCD(1, 375) = ( 1 x 375 ) / 375

GCD(1, 375) = 375 / 375

GCD(1, 375) = 1

GCD of 506, 476, 61, 375 is 1

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• GCD of 458, 628, 90, 316
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• GCD of 912, 731, 74, 650

1. What is the GCD of 506, 476, 61, 375?

GCD of 506, 476, 61, 375 is 1

2. Where do I get the detailed procedure to find GCD of 506, 476, 61, 375?

You can find a detailed procedure to find GCD of 506, 476, 61, 375 on our page.

3. How to find GCD of 506, 476, 61, 375 on a calculator?

You can find the GCD of 506, 476, 61, 375 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.