GCD of 165, 756, 254, 780 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 165, 756, 254, 780 i.e. 1 largest integer that divides all the numbers equally.

GCD of 165, 756, 254, 780 is 1

GCD(165, 756, 254, 780) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 165, 756, 254, 780 is 1

GCD(165, 756, 254, 780) = 1

GCD of 165,756,254,780 Calculator

GCDof 165,756,254,780 is 1

Given Input numbers are 165, 756, 254, 780

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 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 254

List of positive integer divisors of 254 that divides 254 without a remainder.

1, 2, 127, 254

Divisors of 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Greatest Common Divisior

We found the divisors of 165, 756, 254, 780 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 165, 756, 254, 780 is 1.

Therefore, GCD of numbers 165, 756, 254, 780 is 1

Finding GCD of 165, 756, 254, 780 using Prime Factorization

Given Input Data is 165, 756, 254, 780

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 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 254 is 2 x 127

Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 165, 756, 254, 780 using LCM Formula

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, 756) = 41580

GCD(165, 756) = ( 165 x 756 ) / 41580

GCD(165, 756) = 124740 / 41580

GCD(165, 756) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 254

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

LCM(3, 254) = 762

GCD(3, 254) = ( 3 x 254 ) / 762

GCD(3, 254) = 762 / 762

GCD(3, 254) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 780

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

LCM(1, 780) = 780

GCD(1, 780) = ( 1 x 780 ) / 780

GCD(1, 780) = 780 / 780

GCD(1, 780) = 1

GCD of 165, 756, 254, 780 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 165, 756, 254, 780

1. What is the GCD of 165, 756, 254, 780?

GCD of 165, 756, 254, 780 is 1


2. Where do I get the detailed procedure to find GCD of 165, 756, 254, 780?

You can find a detailed procedure to find GCD of 165, 756, 254, 780 on our page.


3. How to find GCD of 165, 756, 254, 780 on a calculator?

You can find the GCD of 165, 756, 254, 780 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.