GCD of 165, 278, 169, 542 Calculator

Given Input numbers are 165, 278, 169, 542

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 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

Divisors of 169

List of positive integer divisors of 169 that divides 169 without a remainder.

1, 13, 169

Divisors of 542

List of positive integer divisors of 542 that divides 542 without a remainder.

1, 2, 271, 542

Greatest Common Divisior

We found the divisors of 165, 278, 169, 542 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 165, 278, 169, 542 is 1.

Therefore, GCD of numbers 165, 278, 169, 542 is 1

Given Input Data is 165, 278, 169, 542

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 278 is 2 x 139

Prime Factorization of 169 is 13 x 13

Prime Factorization of 542 is 2 x 271

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, 278) = 45870

GCD(165, 278) = ( 165 x 278 ) / 45870

GCD(165, 278) = 45870 / 45870

GCD(165, 278) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 169

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

LCM(1, 169) = 169

GCD(1, 169) = ( 1 x 169 ) / 169

GCD(1, 169) = 169 / 169

GCD(1, 169) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 542

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

LCM(1, 542) = 542

GCD(1, 542) = ( 1 x 542 ) / 542

GCD(1, 542) = 542 / 542

GCD(1, 542) = 1

GCD of 165, 278, 169, 542 is 1

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1. What is the GCD of 165, 278, 169, 542?

GCD of 165, 278, 169, 542 is 1

2. Where do I get the detailed procedure to find GCD of 165, 278, 169, 542?

You can find a detailed procedure to find GCD of 165, 278, 169, 542 on our page.

3. How to find GCD of 165, 278, 169, 542 on a calculator?

You can find the GCD of 165, 278, 169, 542 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.