GCD of 155, 660, 80, 523 Calculator

Given Input numbers are 155, 660, 80, 523

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

Divisors of 155

List of positive integer divisors of 155 that divides 155 without a remainder.

1, 5, 31, 155

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Divisors of 523

List of positive integer divisors of 523 that divides 523 without a remainder.

1, 523

Greatest Common Divisior

We found the divisors of 155, 660, 80, 523 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 155, 660, 80, 523 is 1.

Therefore, GCD of numbers 155, 660, 80, 523 is 1

Given Input Data is 155, 660, 80, 523

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

Prime Factorization of 155 is 5 x 31

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5

Prime Factorization of 523 is 523

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(155, 660) = 20460

GCD(155, 660) = ( 155 x 660 ) / 20460

GCD(155, 660) = 102300 / 20460

GCD(155, 660) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 80

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

LCM(5, 80) = 80

GCD(5, 80) = ( 5 x 80 ) / 80

GCD(5, 80) = 400 / 80

GCD(5, 80) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 523

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

LCM(5, 523) = 2615

GCD(5, 523) = ( 5 x 523 ) / 2615

GCD(5, 523) = 2615 / 2615

GCD(5, 523) = 1

GCD of 155, 660, 80, 523 is 1

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1. What is the GCD of 155, 660, 80, 523?

GCD of 155, 660, 80, 523 is 1

2. Where do I get the detailed procedure to find GCD of 155, 660, 80, 523?

You can find a detailed procedure to find GCD of 155, 660, 80, 523 on our page.

3. How to find GCD of 155, 660, 80, 523 on a calculator?

You can find the GCD of 155, 660, 80, 523 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.