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 434, 594, 390, 707 i.e. 1 largest integer that divides all the numbers equally.
GCD of 434, 594, 390, 707 is 1
GCD(434, 594, 390, 707) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 434, 594, 390, 707 is 1
GCD(434, 594, 390, 707) = 1
Given Input numbers are 434, 594, 390, 707
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 434
List of positive integer divisors of 434 that divides 434 without a remainder.
1, 2, 7, 14, 31, 62, 217, 434
Divisors of 594
List of positive integer divisors of 594 that divides 594 without a remainder.
1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
Divisors of 390
List of positive integer divisors of 390 that divides 390 without a remainder.
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
Divisors of 707
List of positive integer divisors of 707 that divides 707 without a remainder.
1, 7, 101, 707
Greatest Common Divisior
We found the divisors of 434, 594, 390, 707 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 434, 594, 390, 707 is 1.
Therefore, GCD of numbers 434, 594, 390, 707 is 1
Given Input Data is 434, 594, 390, 707
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 434 is 2 x 7 x 31
Prime Factorization of 594 is 2 x 3 x 3 x 3 x 11
Prime Factorization of 390 is 2 x 3 x 5 x 13
Prime Factorization of 707 is 7 x 101
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(434, 594) = 128898
GCD(434, 594) = ( 434 x 594 ) / 128898
GCD(434, 594) = 257796 / 128898
GCD(434, 594) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 390
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 390) = 390
GCD(2, 390) = ( 2 x 390 ) / 390
GCD(2, 390) = 780 / 390
GCD(2, 390) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 707
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 707) = 1414
GCD(2, 707) = ( 2 x 707 ) / 1414
GCD(2, 707) = 1414 / 1414
GCD(2, 707) = 1
GCD of 434, 594, 390, 707 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 434, 594, 390, 707?
GCD of 434, 594, 390, 707 is 1
2. Where do I get the detailed procedure to find GCD of 434, 594, 390, 707?
You can find a detailed procedure to find GCD of 434, 594, 390, 707 on our page.
3. How to find GCD of 434, 594, 390, 707 on a calculator?
You can find the GCD of 434, 594, 390, 707 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.