GCD of 195, 974, 42, 828 Calculator

Given Input numbers are 195, 974, 42, 828

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

Divisors of 195

List of positive integer divisors of 195 that divides 195 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Greatest Common Divisior

We found the divisors of 195, 974, 42, 828 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 195, 974, 42, 828 is 1.

Therefore, GCD of numbers 195, 974, 42, 828 is 1

Given Input Data is 195, 974, 42, 828

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

Prime Factorization of 195 is 3 x 5 x 13

Prime Factorization of 974 is 2 x 487

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

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(195, 974) = 189930

GCD(195, 974) = ( 195 x 974 ) / 189930

GCD(195, 974) = 189930 / 189930

GCD(195, 974) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 42

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

LCM(1, 42) = 42

GCD(1, 42) = ( 1 x 42 ) / 42

GCD(1, 42) = 42 / 42

GCD(1, 42) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 828

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

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

GCD(1, 828) = 828 / 828

GCD(1, 828) = 1

GCD of 195, 974, 42, 828 is 1

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1. What is the GCD of 195, 974, 42, 828?

GCD of 195, 974, 42, 828 is 1

2. Where do I get the detailed procedure to find GCD of 195, 974, 42, 828?

You can find a detailed procedure to find GCD of 195, 974, 42, 828 on our page.

3. How to find GCD of 195, 974, 42, 828 on a calculator?

You can find the GCD of 195, 974, 42, 828 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.