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 364, 206, 77, 719 i.e. 1 largest integer that divides all the numbers equally.
GCD of 364, 206, 77, 719 is 1
GCD(364, 206, 77, 719) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 364, 206, 77, 719 is 1
GCD(364, 206, 77, 719) = 1
Given Input numbers are 364, 206, 77, 719
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 364
List of positive integer divisors of 364 that divides 364 without a remainder.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
Divisors of 206
List of positive integer divisors of 206 that divides 206 without a remainder.
1, 2, 103, 206
Divisors of 77
List of positive integer divisors of 77 that divides 77 without a remainder.
1, 7, 11, 77
Divisors of 719
List of positive integer divisors of 719 that divides 719 without a remainder.
1, 719
Greatest Common Divisior
We found the divisors of 364, 206, 77, 719 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 364, 206, 77, 719 is 1.
Therefore, GCD of numbers 364, 206, 77, 719 is 1
Given Input Data is 364, 206, 77, 719
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 364 is 2 x 2 x 7 x 13
Prime Factorization of 206 is 2 x 103
Prime Factorization of 77 is 7 x 11
Prime Factorization of 719 is 719
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(364, 206) = 37492
GCD(364, 206) = ( 364 x 206 ) / 37492
GCD(364, 206) = 74984 / 37492
GCD(364, 206) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 77
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 77) = 154
GCD(2, 77) = ( 2 x 77 ) / 154
GCD(2, 77) = 154 / 154
GCD(2, 77) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 719
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 719) = 719
GCD(1, 719) = ( 1 x 719 ) / 719
GCD(1, 719) = 719 / 719
GCD(1, 719) = 1
GCD of 364, 206, 77, 719 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 364, 206, 77, 719?
GCD of 364, 206, 77, 719 is 1
2. Where do I get the detailed procedure to find GCD of 364, 206, 77, 719?
You can find a detailed procedure to find GCD of 364, 206, 77, 719 on our page.
3. How to find GCD of 364, 206, 77, 719 on a calculator?
You can find the GCD of 364, 206, 77, 719 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.