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, 210, 96, 569 i.e. 1 largest integer that divides all the numbers equally.
GCD of 690, 210, 96, 569 is 1
GCD(690, 210, 96, 569) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 690, 210, 96, 569 is 1
GCD(690, 210, 96, 569) = 1
Given Input numbers are 690, 210, 96, 569
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 210
List of positive integer divisors of 210 that divides 210 without a remainder.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
Divisors of 96
List of positive integer divisors of 96 that divides 96 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
Divisors of 569
List of positive integer divisors of 569 that divides 569 without a remainder.
1, 569
Greatest Common Divisior
We found the divisors of 690, 210, 96, 569 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 690, 210, 96, 569 is 1.
Therefore, GCD of numbers 690, 210, 96, 569 is 1
Given Input Data is 690, 210, 96, 569
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 210 is 2 x 3 x 5 x 7
Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 569 is 569
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, 210) = 4830
GCD(690, 210) = ( 690 x 210 ) / 4830
GCD(690, 210) = 144900 / 4830
GCD(690, 210) = 30
Step2:
Here we consider the GCD from the above i.e. 30 as first number and the next as 96
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(30, 96) = 480
GCD(30, 96) = ( 30 x 96 ) / 480
GCD(30, 96) = 2880 / 480
GCD(30, 96) = 6
Step3:
Here we consider the GCD from the above i.e. 6 as first number and the next as 569
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 569) = 3414
GCD(6, 569) = ( 6 x 569 ) / 3414
GCD(6, 569) = 3414 / 3414
GCD(6, 569) = 1
GCD of 690, 210, 96, 569 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 690, 210, 96, 569?
GCD of 690, 210, 96, 569 is 1
2. Where do I get the detailed procedure to find GCD of 690, 210, 96, 569?
You can find a detailed procedure to find GCD of 690, 210, 96, 569 on our page.
3. How to find GCD of 690, 210, 96, 569 on a calculator?
You can find the GCD of 690, 210, 96, 569 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.