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 389, 772, 707, 624 i.e. 1 largest integer that divides all the numbers equally.
GCD of 389, 772, 707, 624 is 1
GCD(389, 772, 707, 624) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 389, 772, 707, 624 is 1
GCD(389, 772, 707, 624) = 1
Given Input numbers are 389, 772, 707, 624
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 389
List of positive integer divisors of 389 that divides 389 without a remainder.
1, 389
Divisors of 772
List of positive integer divisors of 772 that divides 772 without a remainder.
1, 2, 4, 193, 386, 772
Divisors of 707
List of positive integer divisors of 707 that divides 707 without a remainder.
1, 7, 101, 707
Divisors of 624
List of positive integer divisors of 624 that divides 624 without a remainder.
1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
Greatest Common Divisior
We found the divisors of 389, 772, 707, 624 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 389, 772, 707, 624 is 1.
Therefore, GCD of numbers 389, 772, 707, 624 is 1
Given Input Data is 389, 772, 707, 624
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 389 is 389
Prime Factorization of 772 is 2 x 2 x 193
Prime Factorization of 707 is 7 x 101
Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 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(389, 772) = 300308
GCD(389, 772) = ( 389 x 772 ) / 300308
GCD(389, 772) = 300308 / 300308
GCD(389, 772) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 707
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 707) = 707
GCD(1, 707) = ( 1 x 707 ) / 707
GCD(1, 707) = 707 / 707
GCD(1, 707) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 624
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 624) = 624
GCD(1, 624) = ( 1 x 624 ) / 624
GCD(1, 624) = 624 / 624
GCD(1, 624) = 1
GCD of 389, 772, 707, 624 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 389, 772, 707, 624?
GCD of 389, 772, 707, 624 is 1
2. Where do I get the detailed procedure to find GCD of 389, 772, 707, 624?
You can find a detailed procedure to find GCD of 389, 772, 707, 624 on our page.
3. How to find GCD of 389, 772, 707, 624 on a calculator?
You can find the GCD of 389, 772, 707, 624 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.