GCD of 974, 356, 19, 365 Calculator

Given Input numbers are 974, 356, 19, 365

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

Divisors of 974

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

1, 2, 487, 974

Divisors of 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Divisors of 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

Divisors of 365

List of positive integer divisors of 365 that divides 365 without a remainder.

1, 5, 73, 365

Greatest Common Divisior

We found the divisors of 974, 356, 19, 365 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 974, 356, 19, 365 is 1.

Therefore, GCD of numbers 974, 356, 19, 365 is 1

Given Input Data is 974, 356, 19, 365

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

Prime Factorization of 974 is 2 x 487

Prime Factorization of 356 is 2 x 2 x 89

Prime Factorization of 19 is 19

Prime Factorization of 365 is 5 x 73

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(974, 356) = 173372

GCD(974, 356) = ( 974 x 356 ) / 173372

GCD(974, 356) = 346744 / 173372

GCD(974, 356) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 19

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

LCM(2, 19) = 38

GCD(2, 19) = ( 2 x 19 ) / 38

GCD(2, 19) = 38 / 38

GCD(2, 19) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 365

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

LCM(1, 365) = 365

GCD(1, 365) = ( 1 x 365 ) / 365

GCD(1, 365) = 365 / 365

GCD(1, 365) = 1

GCD of 974, 356, 19, 365 is 1

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• GCD of 205, 971, 33, 785
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1. What is the GCD of 974, 356, 19, 365?

GCD of 974, 356, 19, 365 is 1

2. Where do I get the detailed procedure to find GCD of 974, 356, 19, 365?

You can find a detailed procedure to find GCD of 974, 356, 19, 365 on our page.

3. How to find GCD of 974, 356, 19, 365 on a calculator?

You can find the GCD of 974, 356, 19, 365 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.