GCD of 516, 767, 59, 741 Calculator

Given Input numbers are 516, 767, 59, 741

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 767

List of positive integer divisors of 767 that divides 767 without a remainder.

1, 13, 59, 767

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 741

List of positive integer divisors of 741 that divides 741 without a remainder.

1, 3, 13, 19, 39, 57, 247, 741

Greatest Common Divisior

We found the divisors of 516, 767, 59, 741 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 516, 767, 59, 741 is 1.

Therefore, GCD of numbers 516, 767, 59, 741 is 1

Given Input Data is 516, 767, 59, 741

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 767 is 13 x 59

Prime Factorization of 59 is 59

Prime Factorization of 741 is 3 x 13 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(516, 767) = 395772

GCD(516, 767) = ( 516 x 767 ) / 395772

GCD(516, 767) = 395772 / 395772

GCD(516, 767) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 59

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

LCM(1, 59) = 59

GCD(1, 59) = ( 1 x 59 ) / 59

GCD(1, 59) = 59 / 59

GCD(1, 59) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 741

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

LCM(1, 741) = 741

GCD(1, 741) = ( 1 x 741 ) / 741

GCD(1, 741) = 741 / 741

GCD(1, 741) = 1

GCD of 516, 767, 59, 741 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 328, 156, 27, 760
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• GCD of 813, 942, 74, 874

1. What is the GCD of 516, 767, 59, 741?

GCD of 516, 767, 59, 741 is 1

2. Where do I get the detailed procedure to find GCD of 516, 767, 59, 741?

You can find a detailed procedure to find GCD of 516, 767, 59, 741 on our page.

3. How to find GCD of 516, 767, 59, 741 on a calculator?

You can find the GCD of 516, 767, 59, 741 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.