GCD of 774, 972, 558 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 774, 972, 558 quickly. Get the easiest ways to solve the greatest common divisor of 774, 972, 558 i.e 18 in different methods as follows.
Given Input numbers are 774, 972, 558
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 972 :
The positive integer divisors of 972 that completely divides 972 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
Divisors of 558 :
The positive integer divisors of 558 that completely divides 558 are.
1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
GCD of numbers is the greatest common divisor
So, the GCD (774, 972, 558) = 18.
Given numbers are 774, 972, 558
The list of prime factors of all numbers are
Prime factors of 774 are 2 x 3 x 3 x 43
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 558 are 2 x 3 x 3 x 31
The highest common occurrence is 21 x 32
Therefore, GCD of 774, 972, 558 is 18.
Steps to Calculate GCD of 774, 972, 558 using LCM Formula
Given numbers are 774, 972, 558
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(774, 972) = 41796
GCD(774, 972) = ( 774 x 972 ) / 41796
= 774 / 972
= 774
Step2:
LCM(18, 558) = 558
GCD(18, 558) = ( 18 x 558 ) / 558
= 18 / 558
= 18
So, Greatest Common Divisor of 774, 972, 558 is 18
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 774, 972, 558
Given numbers are 774, 972, 558
The greatest common divisor of numbers 774, 972, 558 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 774, 972, 558 is 18.
FAQs on GCD of 774, 972, 558 Calculator
1. What is the GCD of 774, 972, 558?
GCD of given numbers 774, 972, 558 is 18
2. How to calculate the greatest common divisor of 774, 972, 558?
We can find the highest common divisor of 774, 972, 558 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 774, 972, 558 i.e 18.
3. How can I use the GCD of 774, 972, 558Calculator?
Out the numbers 774, 972, 558 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.