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 780, 635, 26, 765 i.e. 1 largest integer that divides all the numbers equally.
GCD of 780, 635, 26, 765 is 1
GCD(780, 635, 26, 765) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 780, 635, 26, 765 is 1
GCD(780, 635, 26, 765) = 1
Given Input numbers are 780, 635, 26, 765
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 635
List of positive integer divisors of 635 that divides 635 without a remainder.
1, 5, 127, 635
Divisors of 26
List of positive integer divisors of 26 that divides 26 without a remainder.
1, 2, 13, 26
Divisors of 765
List of positive integer divisors of 765 that divides 765 without a remainder.
1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
Greatest Common Divisior
We found the divisors of 780, 635, 26, 765 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 780, 635, 26, 765 is 1.
Therefore, GCD of numbers 780, 635, 26, 765 is 1
Given Input Data is 780, 635, 26, 765
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13
Prime Factorization of 635 is 5 x 127
Prime Factorization of 26 is 2 x 13
Prime Factorization of 765 is 3 x 3 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(780, 635) = 99060
GCD(780, 635) = ( 780 x 635 ) / 99060
GCD(780, 635) = 495300 / 99060
GCD(780, 635) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 26
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 26) = 130
GCD(5, 26) = ( 5 x 26 ) / 130
GCD(5, 26) = 130 / 130
GCD(5, 26) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 765
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 765) = 765
GCD(1, 765) = ( 1 x 765 ) / 765
GCD(1, 765) = 765 / 765
GCD(1, 765) = 1
GCD of 780, 635, 26, 765 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 780, 635, 26, 765?
GCD of 780, 635, 26, 765 is 1
2. Where do I get the detailed procedure to find GCD of 780, 635, 26, 765?
You can find a detailed procedure to find GCD of 780, 635, 26, 765 on our page.
3. How to find GCD of 780, 635, 26, 765 on a calculator?
You can find the GCD of 780, 635, 26, 765 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.