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, 692, 104, 477 i.e. 1 largest integer that divides all the numbers equally.
GCD of 780, 692, 104, 477 is 1
GCD(780, 692, 104, 477) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 780, 692, 104, 477 is 1
GCD(780, 692, 104, 477) = 1
Given Input numbers are 780, 692, 104, 477
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 692
List of positive integer divisors of 692 that divides 692 without a remainder.
1, 2, 4, 173, 346, 692
Divisors of 104
List of positive integer divisors of 104 that divides 104 without a remainder.
1, 2, 4, 8, 13, 26, 52, 104
Divisors of 477
List of positive integer divisors of 477 that divides 477 without a remainder.
1, 3, 9, 53, 159, 477
Greatest Common Divisior
We found the divisors of 780, 692, 104, 477 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 780, 692, 104, 477 is 1.
Therefore, GCD of numbers 780, 692, 104, 477 is 1
Given Input Data is 780, 692, 104, 477
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 692 is 2 x 2 x 173
Prime Factorization of 104 is 2 x 2 x 2 x 13
Prime Factorization of 477 is 3 x 3 x 53
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, 692) = 134940
GCD(780, 692) = ( 780 x 692 ) / 134940
GCD(780, 692) = 539760 / 134940
GCD(780, 692) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 104
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 104) = 104
GCD(4, 104) = ( 4 x 104 ) / 104
GCD(4, 104) = 416 / 104
GCD(4, 104) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 477
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 477) = 1908
GCD(4, 477) = ( 4 x 477 ) / 1908
GCD(4, 477) = 1908 / 1908
GCD(4, 477) = 1
GCD of 780, 692, 104, 477 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 780, 692, 104, 477?
GCD of 780, 692, 104, 477 is 1
2. Where do I get the detailed procedure to find GCD of 780, 692, 104, 477?
You can find a detailed procedure to find GCD of 780, 692, 104, 477 on our page.
3. How to find GCD of 780, 692, 104, 477 on a calculator?
You can find the GCD of 780, 692, 104, 477 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.