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 789, 400, 70, 111 i.e. 1 largest integer that divides all the numbers equally.
GCD of 789, 400, 70, 111 is 1
GCD(789, 400, 70, 111) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 789, 400, 70, 111 is 1
GCD(789, 400, 70, 111) = 1
Given Input numbers are 789, 400, 70, 111
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 789
List of positive integer divisors of 789 that divides 789 without a remainder.
1, 3, 263, 789
Divisors of 400
List of positive integer divisors of 400 that divides 400 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
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 111
List of positive integer divisors of 111 that divides 111 without a remainder.
1, 3, 37, 111
Greatest Common Divisior
We found the divisors of 789, 400, 70, 111 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 789, 400, 70, 111 is 1.
Therefore, GCD of numbers 789, 400, 70, 111 is 1
Given Input Data is 789, 400, 70, 111
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 789 is 3 x 263
Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5
Prime Factorization of 70 is 2 x 5 x 7
Prime Factorization of 111 is 3 x 37
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(789, 400) = 315600
GCD(789, 400) = ( 789 x 400 ) / 315600
GCD(789, 400) = 315600 / 315600
GCD(789, 400) = 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 111
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 111) = 111
GCD(1, 111) = ( 1 x 111 ) / 111
GCD(1, 111) = 111 / 111
GCD(1, 111) = 1
GCD of 789, 400, 70, 111 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 789, 400, 70, 111?
GCD of 789, 400, 70, 111 is 1
2. Where do I get the detailed procedure to find GCD of 789, 400, 70, 111?
You can find a detailed procedure to find GCD of 789, 400, 70, 111 on our page.
3. How to find GCD of 789, 400, 70, 111 on a calculator?
You can find the GCD of 789, 400, 70, 111 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.