GCD of 600, 114, 369 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 600, 114, 369 quickly. Get the easiest ways to solve the greatest common divisor of 600, 114, 369 i.e 3 in different methods as follows.
Given Input numbers are 600, 114, 369
In the factoring method, we have to find the divisors of all numbers
Divisors of 600 :
The positive integer divisors of 600 that completely divides 600 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Divisors of 114 :
The positive integer divisors of 114 that completely divides 114 are.
1, 2, 3, 6, 19, 38, 57, 114
Divisors of 369 :
The positive integer divisors of 369 that completely divides 369 are.
1, 3, 9, 41, 123, 369
GCD of numbers is the greatest common divisor
So, the GCD (600, 114, 369) = 3.
Given numbers are 600, 114, 369
The list of prime factors of all numbers are
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
Prime factors of 114 are 2 x 3 x 19
Prime factors of 369 are 3 x 3 x 41
The highest common occurrence is 31
Therefore, GCD of 600, 114, 369 is 3.
Steps to Calculate GCD of 600, 114, 369 using LCM Formula
Given numbers are 600, 114, 369
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(600, 114) = 11400
GCD(600, 114) = ( 600 x 114 ) / 11400
= 600 / 114
= 600
Step2:
LCM(6, 369) = 738
GCD(6, 369) = ( 6 x 369 ) / 738
= 6 / 369
= 6
So, Greatest Common Divisor of 600, 114, 369 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 600, 114, 369
Given numbers are 600, 114, 369
The greatest common divisor of numbers 600, 114, 369 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 600, 114, 369 is 3.
FAQs on GCD of 600, 114, 369 Calculator
1. What is the GCD of 600, 114, 369?
GCD of given numbers 600, 114, 369 is 3
2. How to calculate the greatest common divisor of 600, 114, 369?
We can find the highest common divisor of 600, 114, 369 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 600, 114, 369 i.e 3.
3. How can I use the GCD of 600, 114, 369Calculator?
Out the numbers 600, 114, 369 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.