GCD of 557, 162, 28, 760 Calculator

Given Input numbers are 557, 162, 28, 760

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

Divisors of 557

List of positive integer divisors of 557 that divides 557 without a remainder.

1, 557

Divisors of 162

List of positive integer divisors of 162 that divides 162 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Greatest Common Divisior

We found the divisors of 557, 162, 28, 760 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 557, 162, 28, 760 is 1.

Therefore, GCD of numbers 557, 162, 28, 760 is 1

Given Input Data is 557, 162, 28, 760

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

Prime Factorization of 557 is 557

Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 760 is 2 x 2 x 2 x 5 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(557, 162) = 90234

GCD(557, 162) = ( 557 x 162 ) / 90234

GCD(557, 162) = 90234 / 90234

GCD(557, 162) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 28

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

LCM(1, 28) = 28

GCD(1, 28) = ( 1 x 28 ) / 28

GCD(1, 28) = 28 / 28

GCD(1, 28) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 760

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

LCM(1, 760) = 760

GCD(1, 760) = ( 1 x 760 ) / 760

GCD(1, 760) = 760 / 760

GCD(1, 760) = 1

GCD of 557, 162, 28, 760 is 1

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1. What is the GCD of 557, 162, 28, 760?

GCD of 557, 162, 28, 760 is 1

2. Where do I get the detailed procedure to find GCD of 557, 162, 28, 760?

You can find a detailed procedure to find GCD of 557, 162, 28, 760 on our page.

3. How to find GCD of 557, 162, 28, 760 on a calculator?

You can find the GCD of 557, 162, 28, 760 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.