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, 559, 80, 664 i.e. 1 largest integer that divides all the numbers equally.
GCD of 690, 559, 80, 664 is 1
GCD(690, 559, 80, 664) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 690, 559, 80, 664 is 1
GCD(690, 559, 80, 664) = 1
Given Input numbers are 690, 559, 80, 664
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 559
List of positive integer divisors of 559 that divides 559 without a remainder.
1, 13, 43, 559
Divisors of 80
List of positive integer divisors of 80 that divides 80 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 40, 80
Divisors of 664
List of positive integer divisors of 664 that divides 664 without a remainder.
1, 2, 4, 8, 83, 166, 332, 664
Greatest Common Divisior
We found the divisors of 690, 559, 80, 664 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 690, 559, 80, 664 is 1.
Therefore, GCD of numbers 690, 559, 80, 664 is 1
Given Input Data is 690, 559, 80, 664
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 559 is 13 x 43
Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5
Prime Factorization of 664 is 2 x 2 x 2 x 83
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, 559) = 385710
GCD(690, 559) = ( 690 x 559 ) / 385710
GCD(690, 559) = 385710 / 385710
GCD(690, 559) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 80
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 80) = 80
GCD(1, 80) = ( 1 x 80 ) / 80
GCD(1, 80) = 80 / 80
GCD(1, 80) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 664
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 664) = 664
GCD(1, 664) = ( 1 x 664 ) / 664
GCD(1, 664) = 664 / 664
GCD(1, 664) = 1
GCD of 690, 559, 80, 664 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 690, 559, 80, 664?
GCD of 690, 559, 80, 664 is 1
2. Where do I get the detailed procedure to find GCD of 690, 559, 80, 664?
You can find a detailed procedure to find GCD of 690, 559, 80, 664 on our page.
3. How to find GCD of 690, 559, 80, 664 on a calculator?
You can find the GCD of 690, 559, 80, 664 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.