GCD of 516, 545, 20, 771 Calculator

Given Input numbers are 516, 545, 20, 771

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 545

List of positive integer divisors of 545 that divides 545 without a remainder.

1, 5, 109, 545

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 771

List of positive integer divisors of 771 that divides 771 without a remainder.

1, 3, 257, 771

Greatest Common Divisior

We found the divisors of 516, 545, 20, 771 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 516, 545, 20, 771 is 1.

Therefore, GCD of numbers 516, 545, 20, 771 is 1

Given Input Data is 516, 545, 20, 771

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 545 is 5 x 109

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 771 is 3 x 257

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, 545) = 281220

GCD(516, 545) = ( 516 x 545 ) / 281220

GCD(516, 545) = 281220 / 281220

GCD(516, 545) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 20

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

LCM(1, 20) = 20

GCD(1, 20) = ( 1 x 20 ) / 20

GCD(1, 20) = 20 / 20

GCD(1, 20) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 771

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

LCM(1, 771) = 771

GCD(1, 771) = ( 1 x 771 ) / 771

GCD(1, 771) = 771 / 771

GCD(1, 771) = 1

GCD of 516, 545, 20, 771 is 1

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• GCD of 402, 578, 51, 910
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• GCD of 827, 664, 34, 856

1. What is the GCD of 516, 545, 20, 771?

GCD of 516, 545, 20, 771 is 1

2. Where do I get the detailed procedure to find GCD of 516, 545, 20, 771?

You can find a detailed procedure to find GCD of 516, 545, 20, 771 on our page.

3. How to find GCD of 516, 545, 20, 771 on a calculator?

You can find the GCD of 516, 545, 20, 771 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.