GCD of 618, 450, 369 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 618, 450, 369 quickly. Get the easiest ways to solve the greatest common divisor of 618, 450, 369 i.e 3 in different methods as follows.
Given Input numbers are 618, 450, 369
In the factoring method, we have to find the divisors of all numbers
Divisors of 618 :
The positive integer divisors of 618 that completely divides 618 are.
1, 2, 3, 6, 103, 206, 309, 618
Divisors of 450 :
The positive integer divisors of 450 that completely divides 450 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
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 (618, 450, 369) = 3.
Given numbers are 618, 450, 369
The list of prime factors of all numbers are
Prime factors of 618 are 2 x 3 x 103
Prime factors of 450 are 2 x 3 x 3 x 5 x 5
Prime factors of 369 are 3 x 3 x 41
The highest common occurrence is 31
Therefore, GCD of 618, 450, 369 is 3.
Steps to Calculate GCD of 618, 450, 369 using LCM Formula
Given numbers are 618, 450, 369
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(618, 450) = 46350
GCD(618, 450) = ( 618 x 450 ) / 46350
= 618 / 450
= 618
Step2:
LCM(6, 369) = 738
GCD(6, 369) = ( 6 x 369 ) / 738
= 6 / 369
= 6
So, Greatest Common Divisor of 618, 450, 369 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 618, 450, 369
Given numbers are 618, 450, 369
The greatest common divisor of numbers 618, 450, 369 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 618, 450, 369 is 3.
FAQs on GCD of 618, 450, 369 Calculator
1. What is the GCD of 618, 450, 369?
GCD of given numbers 618, 450, 369 is 3
2. How to calculate the greatest common divisor of 618, 450, 369?
We can find the highest common divisor of 618, 450, 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 618, 450, 369 i.e 3.
3. How can I use the GCD of 618, 450, 369Calculator?
Out the numbers 618, 450, 369 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.