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 778, 359, 505, 104 i.e. 1 largest integer that divides all the numbers equally.
GCD of 778, 359, 505, 104 is 1
GCD(778, 359, 505, 104) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 778, 359, 505, 104 is 1
GCD(778, 359, 505, 104) = 1
Given Input numbers are 778, 359, 505, 104
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 778
List of positive integer divisors of 778 that divides 778 without a remainder.
1, 2, 389, 778
Divisors of 359
List of positive integer divisors of 359 that divides 359 without a remainder.
1, 359
Divisors of 505
List of positive integer divisors of 505 that divides 505 without a remainder.
1, 5, 101, 505
Divisors of 104
List of positive integer divisors of 104 that divides 104 without a remainder.
1, 2, 4, 8, 13, 26, 52, 104
Greatest Common Divisior
We found the divisors of 778, 359, 505, 104 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 778, 359, 505, 104 is 1.
Therefore, GCD of numbers 778, 359, 505, 104 is 1
Given Input Data is 778, 359, 505, 104
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 778 is 2 x 389
Prime Factorization of 359 is 359
Prime Factorization of 505 is 5 x 101
Prime Factorization of 104 is 2 x 2 x 2 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(778, 359) = 279302
GCD(778, 359) = ( 778 x 359 ) / 279302
GCD(778, 359) = 279302 / 279302
GCD(778, 359) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 505
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 505) = 505
GCD(1, 505) = ( 1 x 505 ) / 505
GCD(1, 505) = 505 / 505
GCD(1, 505) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 104
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 104) = 104
GCD(1, 104) = ( 1 x 104 ) / 104
GCD(1, 104) = 104 / 104
GCD(1, 104) = 1
GCD of 778, 359, 505, 104 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 778, 359, 505, 104?
GCD of 778, 359, 505, 104 is 1
2. Where do I get the detailed procedure to find GCD of 778, 359, 505, 104?
You can find a detailed procedure to find GCD of 778, 359, 505, 104 on our page.
3. How to find GCD of 778, 359, 505, 104 on a calculator?
You can find the GCD of 778, 359, 505, 104 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.