GCD of 516, 770, 57, 597 Calculator

Given Input numbers are 516, 770, 57, 597

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 770

List of positive integer divisors of 770 that divides 770 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 597

List of positive integer divisors of 597 that divides 597 without a remainder.

1, 3, 199, 597

Greatest Common Divisior

We found the divisors of 516, 770, 57, 597 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 516, 770, 57, 597 is 1.

Therefore, GCD of numbers 516, 770, 57, 597 is 1

Given Input Data is 516, 770, 57, 597

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 770 is 2 x 5 x 7 x 11

Prime Factorization of 57 is 3 x 19

Prime Factorization of 597 is 3 x 199

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, 770) = 198660

GCD(516, 770) = ( 516 x 770 ) / 198660

GCD(516, 770) = 397320 / 198660

GCD(516, 770) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 57

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

LCM(2, 57) = 114

GCD(2, 57) = ( 2 x 57 ) / 114

GCD(2, 57) = 114 / 114

GCD(2, 57) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 597

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

LCM(1, 597) = 597

GCD(1, 597) = ( 1 x 597 ) / 597

GCD(1, 597) = 597 / 597

GCD(1, 597) = 1

GCD of 516, 770, 57, 597 is 1

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• GCD of 783, 529, 85, 623

1. What is the GCD of 516, 770, 57, 597?

GCD of 516, 770, 57, 597 is 1

2. Where do I get the detailed procedure to find GCD of 516, 770, 57, 597?

You can find a detailed procedure to find GCD of 516, 770, 57, 597 on our page.

3. How to find GCD of 516, 770, 57, 597 on a calculator?

You can find the GCD of 516, 770, 57, 597 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.