GCD of 974, 372, 83, 516 Calculator

Given Input numbers are 974, 372, 83, 516

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 372

List of positive integer divisors of 372 that divides 372 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Greatest Common Divisior

We found the divisors of 974, 372, 83, 516 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 974, 372, 83, 516 is 1.

Therefore, GCD of numbers 974, 372, 83, 516 is 1

Given Input Data is 974, 372, 83, 516

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

Prime Factorization of 974 is 2 x 487

Prime Factorization of 372 is 2 x 2 x 3 x 31

Prime Factorization of 83 is 83

Prime Factorization of 516 is 2 x 2 x 3 x 43

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, 372) = 181164

GCD(974, 372) = ( 974 x 372 ) / 181164

GCD(974, 372) = 362328 / 181164

GCD(974, 372) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 83

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

LCM(2, 83) = 166

GCD(2, 83) = ( 2 x 83 ) / 166

GCD(2, 83) = 166 / 166

GCD(2, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 516

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

LCM(1, 516) = 516

GCD(1, 516) = ( 1 x 516 ) / 516

GCD(1, 516) = 516 / 516

GCD(1, 516) = 1

GCD of 974, 372, 83, 516 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 836, 320, 21, 362
• GCD of 434, 533, 43, 967
• GCD of 537, 236, 61, 107
• GCD of 973, 661, 72, 101
• GCD of 773, 940, 61, 154

1. What is the GCD of 974, 372, 83, 516?

GCD of 974, 372, 83, 516 is 1

2. Where do I get the detailed procedure to find GCD of 974, 372, 83, 516?

You can find a detailed procedure to find GCD of 974, 372, 83, 516 on our page.

3. How to find GCD of 974, 372, 83, 516 on a calculator?

You can find the GCD of 974, 372, 83, 516 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.