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, 406, 784, 370 i.e. 1 largest integer that divides all the numbers equally.
GCD of 659, 406, 784, 370 is 1
GCD(659, 406, 784, 370) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 659, 406, 784, 370 is 1
GCD(659, 406, 784, 370) = 1
Given Input numbers are 659, 406, 784, 370
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 406
List of positive integer divisors of 406 that divides 406 without a remainder.
1, 2, 7, 14, 29, 58, 203, 406
Divisors of 784
List of positive integer divisors of 784 that divides 784 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
Divisors of 370
List of positive integer divisors of 370 that divides 370 without a remainder.
1, 2, 5, 10, 37, 74, 185, 370
Greatest Common Divisior
We found the divisors of 659, 406, 784, 370 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 659, 406, 784, 370 is 1.
Therefore, GCD of numbers 659, 406, 784, 370 is 1
Given Input Data is 659, 406, 784, 370
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 659 is 659
Prime Factorization of 406 is 2 x 7 x 29
Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7
Prime Factorization of 370 is 2 x 5 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(659, 406) = 267554
GCD(659, 406) = ( 659 x 406 ) / 267554
GCD(659, 406) = 267554 / 267554
GCD(659, 406) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 784
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 784) = 784
GCD(1, 784) = ( 1 x 784 ) / 784
GCD(1, 784) = 784 / 784
GCD(1, 784) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 370
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 370) = 370
GCD(1, 370) = ( 1 x 370 ) / 370
GCD(1, 370) = 370 / 370
GCD(1, 370) = 1
GCD of 659, 406, 784, 370 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 659, 406, 784, 370?
GCD of 659, 406, 784, 370 is 1
2. Where do I get the detailed procedure to find GCD of 659, 406, 784, 370?
You can find a detailed procedure to find GCD of 659, 406, 784, 370 on our page.
3. How to find GCD of 659, 406, 784, 370 on a calculator?
You can find the GCD of 659, 406, 784, 370 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.