GCD of 476, 505, 38, 545 Calculator

Given Input numbers are 476, 505, 38, 545

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

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 505

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

1, 5, 101, 505

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 545

List of positive integer divisors of 545 that divides 545 without a remainder.

1, 5, 109, 545

Greatest Common Divisior

We found the divisors of 476, 505, 38, 545 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 476, 505, 38, 545 is 1.

Therefore, GCD of numbers 476, 505, 38, 545 is 1

Given Input Data is 476, 505, 38, 545

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

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

Prime Factorization of 505 is 5 x 101

Prime Factorization of 38 is 2 x 19

Prime Factorization of 545 is 5 x 109

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(476, 505) = 240380

GCD(476, 505) = ( 476 x 505 ) / 240380

GCD(476, 505) = 240380 / 240380

GCD(476, 505) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 38

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

LCM(1, 38) = 38

GCD(1, 38) = ( 1 x 38 ) / 38

GCD(1, 38) = 38 / 38

GCD(1, 38) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 545

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

LCM(1, 545) = 545

GCD(1, 545) = ( 1 x 545 ) / 545

GCD(1, 545) = 545 / 545

GCD(1, 545) = 1

GCD of 476, 505, 38, 545 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 210, 895, 86, 690
• GCD of 843, 297, 45, 897
• GCD of 276, 214, 25, 357
• GCD of 452, 728, 55, 522
• GCD of 434, 138, 47, 315

1. What is the GCD of 476, 505, 38, 545?

GCD of 476, 505, 38, 545 is 1

2. Where do I get the detailed procedure to find GCD of 476, 505, 38, 545?

You can find a detailed procedure to find GCD of 476, 505, 38, 545 on our page.

3. How to find GCD of 476, 505, 38, 545 on a calculator?

You can find the GCD of 476, 505, 38, 545 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.