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 206, 789, 70, 852 i.e. 1 largest integer that divides all the numbers equally.
GCD of 206, 789, 70, 852 is 1
GCD(206, 789, 70, 852) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 206, 789, 70, 852 is 1
GCD(206, 789, 70, 852) = 1
Given Input numbers are 206, 789, 70, 852
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 206
List of positive integer divisors of 206 that divides 206 without a remainder.
1, 2, 103, 206
Divisors of 789
List of positive integer divisors of 789 that divides 789 without a remainder.
1, 3, 263, 789
Divisors of 70
List of positive integer divisors of 70 that divides 70 without a remainder.
1, 2, 5, 7, 10, 14, 35, 70
Divisors of 852
List of positive integer divisors of 852 that divides 852 without a remainder.
1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
Greatest Common Divisior
We found the divisors of 206, 789, 70, 852 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 206, 789, 70, 852 is 1.
Therefore, GCD of numbers 206, 789, 70, 852 is 1
Given Input Data is 206, 789, 70, 852
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 206 is 2 x 103
Prime Factorization of 789 is 3 x 263
Prime Factorization of 70 is 2 x 5 x 7
Prime Factorization of 852 is 2 x 2 x 3 x 71
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(206, 789) = 162534
GCD(206, 789) = ( 206 x 789 ) / 162534
GCD(206, 789) = 162534 / 162534
GCD(206, 789) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 70
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 70) = 70
GCD(1, 70) = ( 1 x 70 ) / 70
GCD(1, 70) = 70 / 70
GCD(1, 70) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 852
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 852) = 852
GCD(1, 852) = ( 1 x 852 ) / 852
GCD(1, 852) = 852 / 852
GCD(1, 852) = 1
GCD of 206, 789, 70, 852 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 206, 789, 70, 852?
GCD of 206, 789, 70, 852 is 1
2. Where do I get the detailed procedure to find GCD of 206, 789, 70, 852?
You can find a detailed procedure to find GCD of 206, 789, 70, 852 on our page.
3. How to find GCD of 206, 789, 70, 852 on a calculator?
You can find the GCD of 206, 789, 70, 852 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.