GCD of 493, 760, 180 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 493, 760, 180 quickly. Get the easiest ways to solve the greatest common divisor of 493, 760, 180 i.e 1 in different methods as follows.
Given Input numbers are 493, 760, 180
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 760 :
The positive integer divisors of 760 that completely divides 760 are.
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
Divisors of 180 :
The positive integer divisors of 180 that completely divides 180 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
GCD of numbers is the greatest common divisor
So, the GCD (493, 760, 180) = 1.
Given numbers are 493, 760, 180
The list of prime factors of all numbers are
Prime factors of 493 are 17 x 29
Prime factors of 760 are 2 x 2 x 2 x 5 x 19
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 493, 760, 180 using LCM Formula
Given numbers are 493, 760, 180
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(493, 760) = 374680
GCD(493, 760) = ( 493 x 760 ) / 374680
= 493 / 760
= 493
Step2:
LCM(1, 180) = 180
GCD(1, 180) = ( 1 x 180 ) / 180
= 1 / 180
= 1
So, Greatest Common Divisor of 493, 760, 180 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 493, 760, 180
Given numbers are 493, 760, 180
The greatest common divisor of numbers 493, 760, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 493, 760, 180 is 1.
FAQs on GCD of 493, 760, 180 Calculator
1. What is the GCD of 493, 760, 180?
GCD of given numbers 493, 760, 180 is 1
2. How to calculate the greatest common divisor of 493, 760, 180?
We can find the highest common divisor of 493, 760, 180 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, 760, 180 i.e 1.
3. How can I use the GCD of 493, 760, 180Calculator?
Out the numbers 493, 760, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.