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 364, 692, 435, 239 i.e. 1 largest integer that divides all the numbers equally.
GCD of 364, 692, 435, 239 is 1
GCD(364, 692, 435, 239) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 364, 692, 435, 239 is 1
GCD(364, 692, 435, 239) = 1
Given Input numbers are 364, 692, 435, 239
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 364
List of positive integer divisors of 364 that divides 364 without a remainder.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
Divisors of 692
List of positive integer divisors of 692 that divides 692 without a remainder.
1, 2, 4, 173, 346, 692
Divisors of 435
List of positive integer divisors of 435 that divides 435 without a remainder.
1, 3, 5, 15, 29, 87, 145, 435
Divisors of 239
List of positive integer divisors of 239 that divides 239 without a remainder.
1, 239
Greatest Common Divisior
We found the divisors of 364, 692, 435, 239 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 364, 692, 435, 239 is 1.
Therefore, GCD of numbers 364, 692, 435, 239 is 1
Given Input Data is 364, 692, 435, 239
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 364 is 2 x 2 x 7 x 13
Prime Factorization of 692 is 2 x 2 x 173
Prime Factorization of 435 is 3 x 5 x 29
Prime Factorization of 239 is 239
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(364, 692) = 62972
GCD(364, 692) = ( 364 x 692 ) / 62972
GCD(364, 692) = 251888 / 62972
GCD(364, 692) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 435
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 435) = 1740
GCD(4, 435) = ( 4 x 435 ) / 1740
GCD(4, 435) = 1740 / 1740
GCD(4, 435) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 239
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 239) = 239
GCD(1, 239) = ( 1 x 239 ) / 239
GCD(1, 239) = 239 / 239
GCD(1, 239) = 1
GCD of 364, 692, 435, 239 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 364, 692, 435, 239?
GCD of 364, 692, 435, 239 is 1
2. Where do I get the detailed procedure to find GCD of 364, 692, 435, 239?
You can find a detailed procedure to find GCD of 364, 692, 435, 239 on our page.
3. How to find GCD of 364, 692, 435, 239 on a calculator?
You can find the GCD of 364, 692, 435, 239 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.