GCD of 438, 600, 774 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 438, 600, 774 quickly. Get the easiest ways to solve the greatest common divisor of 438, 600, 774 i.e 6 in different methods as follows.
Given Input numbers are 438, 600, 774
In the factoring method, we have to find the divisors of all numbers
Divisors of 438 :
The positive integer divisors of 438 that completely divides 438 are.
1, 2, 3, 6, 73, 146, 219, 438
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 774 :
The positive integer divisors of 774 that completely divides 774 are.
1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
GCD of numbers is the greatest common divisor
So, the GCD (438, 600, 774) = 6.
Given numbers are 438, 600, 774
The list of prime factors of all numbers are
Prime factors of 438 are 2 x 3 x 73
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
Prime factors of 774 are 2 x 3 x 3 x 43
The highest common occurrence is 21 x 31
Therefore, GCD of 438, 600, 774 is 6.
Steps to Calculate GCD of 438, 600, 774 using LCM Formula
Given numbers are 438, 600, 774
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(438, 600) = 43800
GCD(438, 600) = ( 438 x 600 ) / 43800
= 438 / 600
= 438
Step2:
LCM(6, 774) = 774
GCD(6, 774) = ( 6 x 774 ) / 774
= 6 / 774
= 6
So, Greatest Common Divisor of 438, 600, 774 is 6
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 438, 600, 774
Given numbers are 438, 600, 774
The greatest common divisor of numbers 438, 600, 774 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 438, 600, 774 is 6.
FAQs on GCD of 438, 600, 774 Calculator
1. What is the GCD of 438, 600, 774?
GCD of given numbers 438, 600, 774 is 6
2. How to calculate the greatest common divisor of 438, 600, 774?
We can find the highest common divisor of 438, 600, 774 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 438, 600, 774 i.e 6.
3. How can I use the GCD of 438, 600, 774Calculator?
Out the numbers 438, 600, 774 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.