GCD of 724, 552, 588 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 724, 552, 588 quickly. Get the easiest ways to solve the greatest common divisor of 724, 552, 588 i.e 4 in different methods as follows.
Given Input numbers are 724, 552, 588
In the factoring method, we have to find the divisors of all numbers
Divisors of 724 :
The positive integer divisors of 724 that completely divides 724 are.
1, 2, 4, 181, 362, 724
Divisors of 552 :
The positive integer divisors of 552 that completely divides 552 are.
1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
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 (724, 552, 588) = 4.
Given numbers are 724, 552, 588
The list of prime factors of all numbers are
Prime factors of 724 are 2 x 2 x 181
Prime factors of 552 are 2 x 2 x 2 x 3 x 23
Prime factors of 588 are 2 x 2 x 3 x 7 x 7
The highest common occurrence is 22
Therefore, GCD of 724, 552, 588 is 4.
Steps to Calculate GCD of 724, 552, 588 using LCM Formula
Given numbers are 724, 552, 588
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(724, 552) = 99912
GCD(724, 552) = ( 724 x 552 ) / 99912
= 724 / 552
= 724
Step2:
LCM(4, 588) = 588
GCD(4, 588) = ( 4 x 588 ) / 588
= 4 / 588
= 4
So, Greatest Common Divisor of 724, 552, 588 is 4
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 724, 552, 588
Given numbers are 724, 552, 588
The greatest common divisor of numbers 724, 552, 588 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 724, 552, 588 is 4.
FAQs on GCD of 724, 552, 588 Calculator
1. What is the GCD of 724, 552, 588?
GCD of given numbers 724, 552, 588 is 4
2. How to calculate the greatest common divisor of 724, 552, 588?
We can find the highest common divisor of 724, 552, 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 724, 552, 588 i.e 4.
3. How can I use the GCD of 724, 552, 588Calculator?
Out the numbers 724, 552, 588 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.