GCD of 493, 200, 355 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 493, 200, 355 quickly. Get the easiest ways to solve the greatest common divisor of 493, 200, 355 i.e 1 in different methods as follows.
Given Input numbers are 493, 200, 355
In the factoring method, we have to find the divisors of all numbers
Divisors of 493 :
The positive integer divisors of 493 that completely divides 493 are.
1, 17, 29, 493
Divisors of 200 :
The positive integer divisors of 200 that completely divides 200 are.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
Divisors of 355 :
The positive integer divisors of 355 that completely divides 355 are.
1, 5, 71, 355
GCD of numbers is the greatest common divisor
So, the GCD (493, 200, 355) = 1.
Given numbers are 493, 200, 355
The list of prime factors of all numbers are
Prime factors of 493 are 17 x 29
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
Prime factors of 355 are 5 x 71
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 493, 200, 355 using LCM Formula
Given numbers are 493, 200, 355
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(493, 200) = 98600
GCD(493, 200) = ( 493 x 200 ) / 98600
= 493 / 200
= 493
Step2:
LCM(1, 355) = 355
GCD(1, 355) = ( 1 x 355 ) / 355
= 1 / 355
= 1
So, Greatest Common Divisor of 493, 200, 355 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 493, 200, 355
Given numbers are 493, 200, 355
The greatest common divisor of numbers 493, 200, 355 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 493, 200, 355 is 1.
FAQs on GCD of 493, 200, 355 Calculator
1. What is the GCD of 493, 200, 355?
GCD of given numbers 493, 200, 355 is 1
2. How to calculate the greatest common divisor of 493, 200, 355?
We can find the highest common divisor of 493, 200, 355 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 493, 200, 355 i.e 1.
3. How can I use the GCD of 493, 200, 355Calculator?
Out the numbers 493, 200, 355 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.