GCD of 165, 543, 217, 680 Calculator

Given Input numbers are 165, 543, 217, 680

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

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 543

List of positive integer divisors of 543 that divides 543 without a remainder.

1, 3, 181, 543

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Greatest Common Divisior

We found the divisors of 165, 543, 217, 680 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 165, 543, 217, 680 is 1.

Therefore, GCD of numbers 165, 543, 217, 680 is 1

Given Input Data is 165, 543, 217, 680

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

Prime Factorization of 165 is 3 x 5 x 11

Prime Factorization of 543 is 3 x 181

Prime Factorization of 217 is 7 x 31

Prime Factorization of 680 is 2 x 2 x 2 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(165, 543) = 29865

GCD(165, 543) = ( 165 x 543 ) / 29865

GCD(165, 543) = 89595 / 29865

GCD(165, 543) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 217

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

LCM(3, 217) = 651

GCD(3, 217) = ( 3 x 217 ) / 651

GCD(3, 217) = 651 / 651

GCD(3, 217) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 680

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

LCM(1, 680) = 680

GCD(1, 680) = ( 1 x 680 ) / 680

GCD(1, 680) = 680 / 680

GCD(1, 680) = 1

GCD of 165, 543, 217, 680 is 1

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1. What is the GCD of 165, 543, 217, 680?

GCD of 165, 543, 217, 680 is 1

2. Where do I get the detailed procedure to find GCD of 165, 543, 217, 680?

You can find a detailed procedure to find GCD of 165, 543, 217, 680 on our page.

3. How to find GCD of 165, 543, 217, 680 on a calculator?

You can find the GCD of 165, 543, 217, 680 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.