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 690, 699, 889, 592 i.e. 1 largest integer that divides all the numbers equally.
GCD of 690, 699, 889, 592 is 1
GCD(690, 699, 889, 592) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 690, 699, 889, 592 is 1
GCD(690, 699, 889, 592) = 1
Given Input numbers are 690, 699, 889, 592
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 690
List of positive integer divisors of 690 that divides 690 without a remainder.
1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
Divisors of 699
List of positive integer divisors of 699 that divides 699 without a remainder.
1, 3, 233, 699
Divisors of 889
List of positive integer divisors of 889 that divides 889 without a remainder.
1, 7, 127, 889
Divisors of 592
List of positive integer divisors of 592 that divides 592 without a remainder.
1, 2, 4, 8, 16, 37, 74, 148, 296, 592
Greatest Common Divisior
We found the divisors of 690, 699, 889, 592 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 690, 699, 889, 592 is 1.
Therefore, GCD of numbers 690, 699, 889, 592 is 1
Given Input Data is 690, 699, 889, 592
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 690 is 2 x 3 x 5 x 23
Prime Factorization of 699 is 3 x 233
Prime Factorization of 889 is 7 x 127
Prime Factorization of 592 is 2 x 2 x 2 x 2 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(690, 699) = 160770
GCD(690, 699) = ( 690 x 699 ) / 160770
GCD(690, 699) = 482310 / 160770
GCD(690, 699) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 889
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 889) = 2667
GCD(3, 889) = ( 3 x 889 ) / 2667
GCD(3, 889) = 2667 / 2667
GCD(3, 889) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 592
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 592) = 592
GCD(1, 592) = ( 1 x 592 ) / 592
GCD(1, 592) = 592 / 592
GCD(1, 592) = 1
GCD of 690, 699, 889, 592 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 690, 699, 889, 592?
GCD of 690, 699, 889, 592 is 1
2. Where do I get the detailed procedure to find GCD of 690, 699, 889, 592?
You can find a detailed procedure to find GCD of 690, 699, 889, 592 on our page.
3. How to find GCD of 690, 699, 889, 592 on a calculator?
You can find the GCD of 690, 699, 889, 592 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.