GCD of 375, 369, 380, 567 Calculator

Given Input numbers are 375, 369, 380, 567

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

Divisors of 375

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

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

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 567

List of positive integer divisors of 567 that divides 567 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Greatest Common Divisior

We found the divisors of 375, 369, 380, 567 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 375, 369, 380, 567 is 1.

Therefore, GCD of numbers 375, 369, 380, 567 is 1

Given Input Data is 375, 369, 380, 567

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

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

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 380 is 2 x 2 x 5 x 19

Prime Factorization of 567 is 3 x 3 x 3 x 3 x 7

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(375, 369) = 46125

GCD(375, 369) = ( 375 x 369 ) / 46125

GCD(375, 369) = 138375 / 46125

GCD(375, 369) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 380

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

LCM(3, 380) = 1140

GCD(3, 380) = ( 3 x 380 ) / 1140

GCD(3, 380) = 1140 / 1140

GCD(3, 380) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 567

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

LCM(1, 567) = 567

GCD(1, 567) = ( 1 x 567 ) / 567

GCD(1, 567) = 567 / 567

GCD(1, 567) = 1

GCD of 375, 369, 380, 567 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 279, 149, 538, 456
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• GCD of 411, 248, 370, 728
• GCD of 253, 437, 104, 809
• GCD of 179, 261, 664, 560

1. What is the GCD of 375, 369, 380, 567?

GCD of 375, 369, 380, 567 is 1

2. Where do I get the detailed procedure to find GCD of 375, 369, 380, 567?

You can find a detailed procedure to find GCD of 375, 369, 380, 567 on our page.

3. How to find GCD of 375, 369, 380, 567 on a calculator?

You can find the GCD of 375, 369, 380, 567 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.