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 399, 529, 87, 357 i.e. 1 largest integer that divides all the numbers equally.
GCD of 399, 529, 87, 357 is 1
GCD(399, 529, 87, 357) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 399, 529, 87, 357 is 1
GCD(399, 529, 87, 357) = 1
Given Input numbers are 399, 529, 87, 357
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 399
List of positive integer divisors of 399 that divides 399 without a remainder.
1, 3, 7, 19, 21, 57, 133, 399
Divisors of 529
List of positive integer divisors of 529 that divides 529 without a remainder.
1, 23, 529
Divisors of 87
List of positive integer divisors of 87 that divides 87 without a remainder.
1, 3, 29, 87
Divisors of 357
List of positive integer divisors of 357 that divides 357 without a remainder.
1, 3, 7, 17, 21, 51, 119, 357
Greatest Common Divisior
We found the divisors of 399, 529, 87, 357 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 399, 529, 87, 357 is 1.
Therefore, GCD of numbers 399, 529, 87, 357 is 1
Given Input Data is 399, 529, 87, 357
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 399 is 3 x 7 x 19
Prime Factorization of 529 is 23 x 23
Prime Factorization of 87 is 3 x 29
Prime Factorization of 357 is 3 x 7 x 17
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(399, 529) = 211071
GCD(399, 529) = ( 399 x 529 ) / 211071
GCD(399, 529) = 211071 / 211071
GCD(399, 529) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 87
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 87) = 87
GCD(1, 87) = ( 1 x 87 ) / 87
GCD(1, 87) = 87 / 87
GCD(1, 87) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 357
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 357) = 357
GCD(1, 357) = ( 1 x 357 ) / 357
GCD(1, 357) = 357 / 357
GCD(1, 357) = 1
GCD of 399, 529, 87, 357 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 399, 529, 87, 357?
GCD of 399, 529, 87, 357 is 1
2. Where do I get the detailed procedure to find GCD of 399, 529, 87, 357?
You can find a detailed procedure to find GCD of 399, 529, 87, 357 on our page.
3. How to find GCD of 399, 529, 87, 357 on a calculator?
You can find the GCD of 399, 529, 87, 357 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.