GCD of 723, 516, 49, 959 Calculator

Given Input numbers are 723, 516, 49, 959

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

Divisors of 723

List of positive integer divisors of 723 that divides 723 without a remainder.

1, 3, 241, 723

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 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 959

List of positive integer divisors of 959 that divides 959 without a remainder.

1, 7, 137, 959

Greatest Common Divisior

We found the divisors of 723, 516, 49, 959 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 723, 516, 49, 959 is 1.

Therefore, GCD of numbers 723, 516, 49, 959 is 1

Given Input Data is 723, 516, 49, 959

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

Prime Factorization of 723 is 3 x 241

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

Prime Factorization of 49 is 7 x 7

Prime Factorization of 959 is 7 x 137

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(723, 516) = 124356

GCD(723, 516) = ( 723 x 516 ) / 124356

GCD(723, 516) = 373068 / 124356

GCD(723, 516) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 49

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

LCM(3, 49) = 147

GCD(3, 49) = ( 3 x 49 ) / 147

GCD(3, 49) = 147 / 147

GCD(3, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 959

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

LCM(1, 959) = 959

GCD(1, 959) = ( 1 x 959 ) / 959

GCD(1, 959) = 959 / 959

GCD(1, 959) = 1

GCD of 723, 516, 49, 959 is 1

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• GCD of 351, 792, 83, 961
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1. What is the GCD of 723, 516, 49, 959?

GCD of 723, 516, 49, 959 is 1

2. Where do I get the detailed procedure to find GCD of 723, 516, 49, 959?

You can find a detailed procedure to find GCD of 723, 516, 49, 959 on our page.

3. How to find GCD of 723, 516, 49, 959 on a calculator?

You can find the GCD of 723, 516, 49, 959 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.