GCD of 558, 657, 654 Calculator
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 558, 657, 654 i.e. 3 largest integer that divides all the numbers equally.
GCD of 558, 657, 654 is 3
GCD(558, 657, 654) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 558, 657, 654 is 3
GCD(558, 657, 654) = 3
GCDof 558,657,654 is 3
Given Input numbers are 558, 657, 654
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 558
List of positive integer divisors of 558 that divides 558 without a remainder.
1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
Divisors of 657
List of positive integer divisors of 657 that divides 657 without a remainder.
1, 3, 9, 73, 219, 657
Divisors of 654
List of positive integer divisors of 654 that divides 654 without a remainder.
1, 2, 3, 6, 109, 218, 327, 654
Greatest Common Divisior
We found the divisors of 558, 657, 654 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 558, 657, 654 is 3.
Therefore, GCD of numbers 558, 657, 654 is 3
Given Input Data is 558, 657, 654
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 558 is 2 x 3 x 3 x 31
Prime Factorization of 657 is 3 x 3 x 73
Prime Factorization of 654 is 2 x 3 x 109
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
Finding GCD of 558, 657, 654 using LCM Formula
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(558, 657) = 40734
GCD(558, 657) = ( 558 x 657 ) / 40734
GCD(558, 657) = 366606 / 40734
GCD(558, 657) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 654
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 654) = 1962
GCD(9, 654) = ( 9 x 654 ) / 1962
GCD(9, 654) = 5886 / 1962
GCD(9, 654) = 3
GCD of 558, 657, 654 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 558, 657, 654
1. What is the GCD of 558, 657, 654?
GCD of 558, 657, 654 is 3
2. Where do I get the detailed procedure to find GCD of 558, 657, 654?
You can find a detailed procedure to find GCD of 558, 657, 654 on our page.
3. How to find GCD of 558, 657, 654 on a calculator?
You can find the GCD of 558, 657, 654 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.