GCD of 375, 199, 652, 408 Calculator

Given Input numbers are 375, 199, 652, 408

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 199

List of positive integer divisors of 199 that divides 199 without a remainder.

1, 199

Divisors of 652

List of positive integer divisors of 652 that divides 652 without a remainder.

1, 2, 4, 163, 326, 652

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Greatest Common Divisior

We found the divisors of 375, 199, 652, 408 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 375, 199, 652, 408 is 1.

Therefore, GCD of numbers 375, 199, 652, 408 is 1

Given Input Data is 375, 199, 652, 408

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 199 is 199

Prime Factorization of 652 is 2 x 2 x 163

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

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, 199) = 74625

GCD(375, 199) = ( 375 x 199 ) / 74625

GCD(375, 199) = 74625 / 74625

GCD(375, 199) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 652

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

LCM(1, 652) = 652

GCD(1, 652) = ( 1 x 652 ) / 652

GCD(1, 652) = 652 / 652

GCD(1, 652) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 408

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

LCM(1, 408) = 408

GCD(1, 408) = ( 1 x 408 ) / 408

GCD(1, 408) = 408 / 408

GCD(1, 408) = 1

GCD of 375, 199, 652, 408 is 1

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1. What is the GCD of 375, 199, 652, 408?

GCD of 375, 199, 652, 408 is 1

2. Where do I get the detailed procedure to find GCD of 375, 199, 652, 408?

You can find a detailed procedure to find GCD of 375, 199, 652, 408 on our page.

3. How to find GCD of 375, 199, 652, 408 on a calculator?

You can find the GCD of 375, 199, 652, 408 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.