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 350, 612, 80, 779 i.e. 1 largest integer that divides all the numbers equally.
GCD of 350, 612, 80, 779 is 1
GCD(350, 612, 80, 779) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 350, 612, 80, 779 is 1
GCD(350, 612, 80, 779) = 1
Given Input numbers are 350, 612, 80, 779
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 350
List of positive integer divisors of 350 that divides 350 without a remainder.
1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
Divisors of 612
List of positive integer divisors of 612 that divides 612 without a remainder.
1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
Divisors of 80
List of positive integer divisors of 80 that divides 80 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 40, 80
Divisors of 779
List of positive integer divisors of 779 that divides 779 without a remainder.
1, 19, 41, 779
Greatest Common Divisior
We found the divisors of 350, 612, 80, 779 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 350, 612, 80, 779 is 1.
Therefore, GCD of numbers 350, 612, 80, 779 is 1
Given Input Data is 350, 612, 80, 779
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 350 is 2 x 5 x 5 x 7
Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17
Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5
Prime Factorization of 779 is 19 x 41
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(350, 612) = 107100
GCD(350, 612) = ( 350 x 612 ) / 107100
GCD(350, 612) = 214200 / 107100
GCD(350, 612) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 80
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 80) = 80
GCD(2, 80) = ( 2 x 80 ) / 80
GCD(2, 80) = 160 / 80
GCD(2, 80) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 779
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 779) = 1558
GCD(2, 779) = ( 2 x 779 ) / 1558
GCD(2, 779) = 1558 / 1558
GCD(2, 779) = 1
GCD of 350, 612, 80, 779 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 350, 612, 80, 779?
GCD of 350, 612, 80, 779 is 1
2. Where do I get the detailed procedure to find GCD of 350, 612, 80, 779?
You can find a detailed procedure to find GCD of 350, 612, 80, 779 on our page.
3. How to find GCD of 350, 612, 80, 779 on a calculator?
You can find the GCD of 350, 612, 80, 779 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.