GCD of 716, 516, 22, 471 Calculator

Given Input numbers are 716, 516, 22, 471

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

Divisors of 716

List of positive integer divisors of 716 that divides 716 without a remainder.

1, 2, 4, 179, 358, 716

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

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Divisors of 471

List of positive integer divisors of 471 that divides 471 without a remainder.

1, 3, 157, 471

Greatest Common Divisior

We found the divisors of 716, 516, 22, 471 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 716, 516, 22, 471 is 1.

Therefore, GCD of numbers 716, 516, 22, 471 is 1

Given Input Data is 716, 516, 22, 471

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

Prime Factorization of 716 is 2 x 2 x 179

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

Prime Factorization of 22 is 2 x 11

Prime Factorization of 471 is 3 x 157

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(716, 516) = 92364

GCD(716, 516) = ( 716 x 516 ) / 92364

GCD(716, 516) = 369456 / 92364

GCD(716, 516) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 22

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

LCM(4, 22) = 44

GCD(4, 22) = ( 4 x 22 ) / 44

GCD(4, 22) = 88 / 44

GCD(4, 22) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 471

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

LCM(2, 471) = 942

GCD(2, 471) = ( 2 x 471 ) / 942

GCD(2, 471) = 942 / 942

GCD(2, 471) = 1

GCD of 716, 516, 22, 471 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 675, 281, 19, 947
• GCD of 340, 150, 20, 778
• GCD of 353, 605, 20, 115
• GCD of 100, 300, 36, 626
• GCD of 980, 158, 45, 480

1. What is the GCD of 716, 516, 22, 471?

GCD of 716, 516, 22, 471 is 1

2. Where do I get the detailed procedure to find GCD of 716, 516, 22, 471?

You can find a detailed procedure to find GCD of 716, 516, 22, 471 on our page.

3. How to find GCD of 716, 516, 22, 471 on a calculator?

You can find the GCD of 716, 516, 22, 471 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.