GCD of 974, 416, 21, 342 Calculator

Given Input numbers are 974, 416, 21, 342

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 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Greatest Common Divisior

We found the divisors of 974, 416, 21, 342 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 974, 416, 21, 342 is 1.

Therefore, GCD of numbers 974, 416, 21, 342 is 1

Given Input Data is 974, 416, 21, 342

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

Prime Factorization of 974 is 2 x 487

Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 21 is 3 x 7

Prime Factorization of 342 is 2 x 3 x 3 x 19

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, 416) = 202592

GCD(974, 416) = ( 974 x 416 ) / 202592

GCD(974, 416) = 405184 / 202592

GCD(974, 416) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 21

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

LCM(2, 21) = 42

GCD(2, 21) = ( 2 x 21 ) / 42

GCD(2, 21) = 42 / 42

GCD(2, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 342

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

LCM(1, 342) = 342

GCD(1, 342) = ( 1 x 342 ) / 342

GCD(1, 342) = 342 / 342

GCD(1, 342) = 1

GCD of 974, 416, 21, 342 is 1

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1. What is the GCD of 974, 416, 21, 342?

GCD of 974, 416, 21, 342 is 1

2. Where do I get the detailed procedure to find GCD of 974, 416, 21, 342?

You can find a detailed procedure to find GCD of 974, 416, 21, 342 on our page.

3. How to find GCD of 974, 416, 21, 342 on a calculator?

You can find the GCD of 974, 416, 21, 342 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.