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 359, 203, 520, 356 i.e. 1 largest integer that divides all the numbers equally.
GCD of 359, 203, 520, 356 is 1
GCD(359, 203, 520, 356) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 359, 203, 520, 356 is 1
GCD(359, 203, 520, 356) = 1
Given Input numbers are 359, 203, 520, 356
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 359
List of positive integer divisors of 359 that divides 359 without a remainder.
1, 359
Divisors of 203
List of positive integer divisors of 203 that divides 203 without a remainder.
1, 7, 29, 203
Divisors of 520
List of positive integer divisors of 520 that divides 520 without a remainder.
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
Divisors of 356
List of positive integer divisors of 356 that divides 356 without a remainder.
1, 2, 4, 89, 178, 356
Greatest Common Divisior
We found the divisors of 359, 203, 520, 356 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 359, 203, 520, 356 is 1.
Therefore, GCD of numbers 359, 203, 520, 356 is 1
Given Input Data is 359, 203, 520, 356
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 359 is 359
Prime Factorization of 203 is 7 x 29
Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13
Prime Factorization of 356 is 2 x 2 x 89
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(359, 203) = 72877
GCD(359, 203) = ( 359 x 203 ) / 72877
GCD(359, 203) = 72877 / 72877
GCD(359, 203) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 520
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 520) = 520
GCD(1, 520) = ( 1 x 520 ) / 520
GCD(1, 520) = 520 / 520
GCD(1, 520) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 356
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 356) = 356
GCD(1, 356) = ( 1 x 356 ) / 356
GCD(1, 356) = 356 / 356
GCD(1, 356) = 1
GCD of 359, 203, 520, 356 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 359, 203, 520, 356?
GCD of 359, 203, 520, 356 is 1
2. Where do I get the detailed procedure to find GCD of 359, 203, 520, 356?
You can find a detailed procedure to find GCD of 359, 203, 520, 356 on our page.
3. How to find GCD of 359, 203, 520, 356 on a calculator?
You can find the GCD of 359, 203, 520, 356 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.