GCD of 584, 726, 628 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 584, 726, 628 quickly. Get the easiest ways to solve the greatest common divisor of 584, 726, 628 i.e 2 in different methods as follows.
Given Input numbers are 584, 726, 628
In the factoring method, we have to find the divisors of all numbers
Divisors of 584 :
The positive integer divisors of 584 that completely divides 584 are.
1, 2, 4, 8, 73, 146, 292, 584
Divisors of 726 :
The positive integer divisors of 726 that completely divides 726 are.
1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
Divisors of 628 :
The positive integer divisors of 628 that completely divides 628 are.
1, 2, 4, 157, 314, 628
GCD of numbers is the greatest common divisor
So, the GCD (584, 726, 628) = 2.
Given numbers are 584, 726, 628
The list of prime factors of all numbers are
Prime factors of 584 are 2 x 2 x 2 x 73
Prime factors of 726 are 2 x 3 x 11 x 11
Prime factors of 628 are 2 x 2 x 157
The highest common occurrence is 21
Therefore, GCD of 584, 726, 628 is 2.
Steps to Calculate GCD of 584, 726, 628 using LCM Formula
Given numbers are 584, 726, 628
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(584, 726) = 211992
GCD(584, 726) = ( 584 x 726 ) / 211992
= 584 / 726
= 584
Step2:
LCM(2, 628) = 628
GCD(2, 628) = ( 2 x 628 ) / 628
= 2 / 628
= 2
So, Greatest Common Divisor of 584, 726, 628 is 2
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 584, 726, 628
Given numbers are 584, 726, 628
The greatest common divisor of numbers 584, 726, 628 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 584, 726, 628 is 2.
FAQs on GCD of 584, 726, 628 Calculator
1. What is the GCD of 584, 726, 628?
GCD of given numbers 584, 726, 628 is 2
2. How to calculate the greatest common divisor of 584, 726, 628?
We can find the highest common divisor of 584, 726, 628 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 584, 726, 628 i.e 2.
3. How can I use the GCD of 584, 726, 628Calculator?
Out the numbers 584, 726, 628 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.