GCD of 475, 469, 378, 723 Calculator

Given Input numbers are 475, 469, 378, 723

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

Divisors of 475

List of positive integer divisors of 475 that divides 475 without a remainder.

1, 5, 19, 25, 95, 475

Divisors of 469

List of positive integer divisors of 469 that divides 469 without a remainder.

1, 7, 67, 469

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 723

List of positive integer divisors of 723 that divides 723 without a remainder.

1, 3, 241, 723

Greatest Common Divisior

We found the divisors of 475, 469, 378, 723 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 475, 469, 378, 723 is 1.

Therefore, GCD of numbers 475, 469, 378, 723 is 1

Given Input Data is 475, 469, 378, 723

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

Prime Factorization of 475 is 5 x 5 x 19

Prime Factorization of 469 is 7 x 67

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

Prime Factorization of 723 is 3 x 241

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(475, 469) = 222775

GCD(475, 469) = ( 475 x 469 ) / 222775

GCD(475, 469) = 222775 / 222775

GCD(475, 469) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 378

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

LCM(1, 378) = 378

GCD(1, 378) = ( 1 x 378 ) / 378

GCD(1, 378) = 378 / 378

GCD(1, 378) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 723

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

LCM(1, 723) = 723

GCD(1, 723) = ( 1 x 723 ) / 723

GCD(1, 723) = 723 / 723

GCD(1, 723) = 1

GCD of 475, 469, 378, 723 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 201, 220, 590, 786
• GCD of 534, 408, 261, 505
• GCD of 940, 989, 666, 684
• GCD of 680, 857, 301, 157
• GCD of 642, 421, 227, 666

1. What is the GCD of 475, 469, 378, 723?

GCD of 475, 469, 378, 723 is 1

2. Where do I get the detailed procedure to find GCD of 475, 469, 378, 723?

You can find a detailed procedure to find GCD of 475, 469, 378, 723 on our page.

3. How to find GCD of 475, 469, 378, 723 on a calculator?

You can find the GCD of 475, 469, 378, 723 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.