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 369, 655, 584, 710 i.e. 1 largest integer that divides all the numbers equally.
GCD of 369, 655, 584, 710 is 1
GCD(369, 655, 584, 710) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 369, 655, 584, 710 is 1
GCD(369, 655, 584, 710) = 1
Given Input numbers are 369, 655, 584, 710
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 369
List of positive integer divisors of 369 that divides 369 without a remainder.
1, 3, 9, 41, 123, 369
Divisors of 655
List of positive integer divisors of 655 that divides 655 without a remainder.
1, 5, 131, 655
Divisors of 584
List of positive integer divisors of 584 that divides 584 without a remainder.
1, 2, 4, 8, 73, 146, 292, 584
Divisors of 710
List of positive integer divisors of 710 that divides 710 without a remainder.
1, 2, 5, 10, 71, 142, 355, 710
Greatest Common Divisior
We found the divisors of 369, 655, 584, 710 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 369, 655, 584, 710 is 1.
Therefore, GCD of numbers 369, 655, 584, 710 is 1
Given Input Data is 369, 655, 584, 710
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 369 is 3 x 3 x 41
Prime Factorization of 655 is 5 x 131
Prime Factorization of 584 is 2 x 2 x 2 x 73
Prime Factorization of 710 is 2 x 5 x 71
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(369, 655) = 241695
GCD(369, 655) = ( 369 x 655 ) / 241695
GCD(369, 655) = 241695 / 241695
GCD(369, 655) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 584
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 584) = 584
GCD(1, 584) = ( 1 x 584 ) / 584
GCD(1, 584) = 584 / 584
GCD(1, 584) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 710
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 710) = 710
GCD(1, 710) = ( 1 x 710 ) / 710
GCD(1, 710) = 710 / 710
GCD(1, 710) = 1
GCD of 369, 655, 584, 710 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 369, 655, 584, 710?
GCD of 369, 655, 584, 710 is 1
2. Where do I get the detailed procedure to find GCD of 369, 655, 584, 710?
You can find a detailed procedure to find GCD of 369, 655, 584, 710 on our page.
3. How to find GCD of 369, 655, 584, 710 on a calculator?
You can find the GCD of 369, 655, 584, 710 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.