GCD of 516, 126, 70, 731 Calculator

Given Input numbers are 516, 126, 70, 731

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

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 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

Divisors of 731

List of positive integer divisors of 731 that divides 731 without a remainder.

1, 17, 43, 731

Greatest Common Divisior

We found the divisors of 516, 126, 70, 731 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 516, 126, 70, 731 is 1.

Therefore, GCD of numbers 516, 126, 70, 731 is 1

Given Input Data is 516, 126, 70, 731

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

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

Prime Factorization of 126 is 2 x 3 x 3 x 7

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 731 is 17 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(516, 126) = 10836

GCD(516, 126) = ( 516 x 126 ) / 10836

GCD(516, 126) = 65016 / 10836

GCD(516, 126) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 70

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

LCM(6, 70) = 210

GCD(6, 70) = ( 6 x 70 ) / 210

GCD(6, 70) = 420 / 210

GCD(6, 70) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 731

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

LCM(2, 731) = 1462

GCD(2, 731) = ( 2 x 731 ) / 1462

GCD(2, 731) = 1462 / 1462

GCD(2, 731) = 1

GCD of 516, 126, 70, 731 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 211, 860, 49, 510
• GCD of 459, 557, 43, 137
• GCD of 743, 591, 50, 614
• GCD of 480, 361, 35, 286
• GCD of 585, 849, 22, 174

1. What is the GCD of 516, 126, 70, 731?

GCD of 516, 126, 70, 731 is 1

2. Where do I get the detailed procedure to find GCD of 516, 126, 70, 731?

You can find a detailed procedure to find GCD of 516, 126, 70, 731 on our page.

3. How to find GCD of 516, 126, 70, 731 on a calculator?

You can find the GCD of 516, 126, 70, 731 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.