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 659, 320, 69, 849 i.e. 1 largest integer that divides all the numbers equally.
GCD of 659, 320, 69, 849 is 1
GCD(659, 320, 69, 849) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 659, 320, 69, 849 is 1
GCD(659, 320, 69, 849) = 1
Given Input numbers are 659, 320, 69, 849
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 659
List of positive integer divisors of 659 that divides 659 without a remainder.
1, 659
Divisors of 320
List of positive integer divisors of 320 that divides 320 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
Divisors of 69
List of positive integer divisors of 69 that divides 69 without a remainder.
1, 3, 23, 69
Divisors of 849
List of positive integer divisors of 849 that divides 849 without a remainder.
1, 3, 283, 849
Greatest Common Divisior
We found the divisors of 659, 320, 69, 849 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 659, 320, 69, 849 is 1.
Therefore, GCD of numbers 659, 320, 69, 849 is 1
Given Input Data is 659, 320, 69, 849
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 659 is 659
Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime Factorization of 69 is 3 x 23
Prime Factorization of 849 is 3 x 283
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(659, 320) = 210880
GCD(659, 320) = ( 659 x 320 ) / 210880
GCD(659, 320) = 210880 / 210880
GCD(659, 320) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 69
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 69) = 69
GCD(1, 69) = ( 1 x 69 ) / 69
GCD(1, 69) = 69 / 69
GCD(1, 69) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 849
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 849) = 849
GCD(1, 849) = ( 1 x 849 ) / 849
GCD(1, 849) = 849 / 849
GCD(1, 849) = 1
GCD of 659, 320, 69, 849 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 659, 320, 69, 849?
GCD of 659, 320, 69, 849 is 1
2. Where do I get the detailed procedure to find GCD of 659, 320, 69, 849?
You can find a detailed procedure to find GCD of 659, 320, 69, 849 on our page.
3. How to find GCD of 659, 320, 69, 849 on a calculator?
You can find the GCD of 659, 320, 69, 849 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.