GCD of 119, 724, 180 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 119, 724, 180 quickly. Get the easiest ways to solve the greatest common divisor of 119, 724, 180 i.e 1 in different methods as follows.
Given Input numbers are 119, 724, 180
In the factoring method, we have to find the divisors of all numbers
Divisors of 119 :
The positive integer divisors of 119 that completely divides 119 are.
1, 7, 17, 119
Divisors of 724 :
The positive integer divisors of 724 that completely divides 724 are.
1, 2, 4, 181, 362, 724
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 (119, 724, 180) = 1.
Given numbers are 119, 724, 180
The list of prime factors of all numbers are
Prime factors of 119 are 7 x 17
Prime factors of 724 are 2 x 2 x 181
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 119, 724, 180 using LCM Formula
Given numbers are 119, 724, 180
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(119, 724) = 86156
GCD(119, 724) = ( 119 x 724 ) / 86156
= 119 / 724
= 119
Step2:
LCM(1, 180) = 180
GCD(1, 180) = ( 1 x 180 ) / 180
= 1 / 180
= 1
So, Greatest Common Divisor of 119, 724, 180 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 119, 724, 180
Given numbers are 119, 724, 180
The greatest common divisor of numbers 119, 724, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 119, 724, 180 is 1.
FAQs on GCD of 119, 724, 180 Calculator
1. What is the GCD of 119, 724, 180?
GCD of given numbers 119, 724, 180 is 1
2. How to calculate the greatest common divisor of 119, 724, 180?
We can find the highest common divisor of 119, 724, 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 119, 724, 180 i.e 1.
3. How can I use the GCD of 119, 724, 180Calculator?
Out the numbers 119, 724, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.