GCD of 562, 172, 16, 765 Calculator

Given Input numbers are 562, 172, 16, 765

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

Divisors of 562

List of positive integer divisors of 562 that divides 562 without a remainder.

1, 2, 281, 562

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 765

List of positive integer divisors of 765 that divides 765 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Greatest Common Divisior

We found the divisors of 562, 172, 16, 765 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 562, 172, 16, 765 is 1.

Therefore, GCD of numbers 562, 172, 16, 765 is 1

Given Input Data is 562, 172, 16, 765

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

Prime Factorization of 562 is 2 x 281

Prime Factorization of 172 is 2 x 2 x 43

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 765 is 3 x 3 x 5 x 17

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(562, 172) = 48332

GCD(562, 172) = ( 562 x 172 ) / 48332

GCD(562, 172) = 96664 / 48332

GCD(562, 172) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 16

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

LCM(2, 16) = 16

GCD(2, 16) = ( 2 x 16 ) / 16

GCD(2, 16) = 32 / 16

GCD(2, 16) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 765

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

LCM(2, 765) = 1530

GCD(2, 765) = ( 2 x 765 ) / 1530

GCD(2, 765) = 1530 / 1530

GCD(2, 765) = 1

GCD of 562, 172, 16, 765 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 857, 670, 20, 229
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• GCD of 845, 260, 54, 530

1. What is the GCD of 562, 172, 16, 765?

GCD of 562, 172, 16, 765 is 1

2. Where do I get the detailed procedure to find GCD of 562, 172, 16, 765?

You can find a detailed procedure to find GCD of 562, 172, 16, 765 on our page.

3. How to find GCD of 562, 172, 16, 765 on a calculator?

You can find the GCD of 562, 172, 16, 765 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.