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 numbers 165, 756, 254, 780 is 1
GCD(165, 756, 254, 780) = 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
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
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
Here are some samples of GCD of Numbers calculations.
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.