GCD of 732, 546, 588 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 732, 546, 588 quickly. Get the easiest ways to solve the greatest common divisor of 732, 546, 588 i.e 6 in different methods as follows.
Given Input numbers are 732, 546, 588
In the factoring method, we have to find the divisors of all numbers
Divisors of 732 :
The positive integer divisors of 732 that completely divides 732 are.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
Divisors of 546 :
The positive integer divisors of 546 that completely divides 546 are.
1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
Divisors of 588 :
The positive integer divisors of 588 that completely divides 588 are.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
GCD of numbers is the greatest common divisor
So, the GCD (732, 546, 588) = 6.
Given numbers are 732, 546, 588
The list of prime factors of all numbers are
Prime factors of 732 are 2 x 2 x 3 x 61
Prime factors of 546 are 2 x 3 x 7 x 13
Prime factors of 588 are 2 x 2 x 3 x 7 x 7
The highest common occurrence is 21 x 31
Therefore, GCD of 732, 546, 588 is 6.
Steps to Calculate GCD of 732, 546, 588 using LCM Formula
Given numbers are 732, 546, 588
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(732, 546) = 66612
GCD(732, 546) = ( 732 x 546 ) / 66612
= 732 / 546
= 732
Step2:
LCM(6, 588) = 588
GCD(6, 588) = ( 6 x 588 ) / 588
= 6 / 588
= 6
So, Greatest Common Divisor of 732, 546, 588 is 6
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 732, 546, 588
Given numbers are 732, 546, 588
The greatest common divisor of numbers 732, 546, 588 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 732, 546, 588 is 6.
FAQs on GCD of 732, 546, 588 Calculator
1. What is the GCD of 732, 546, 588?
GCD of given numbers 732, 546, 588 is 6
2. How to calculate the greatest common divisor of 732, 546, 588?
We can find the highest common divisor of 732, 546, 588 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 732, 546, 588 i.e 6.
3. How can I use the GCD of 732, 546, 588Calculator?
Out the numbers 732, 546, 588 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.