Online GCD Calculator is useful to find the GCD of 676, 406, 584, 592 quickly. Get the easiest ways to solve the greatest common divisor of 676, 406, 584, 592 i.e 2 in different methods as follows.
Given Input numbers are 676, 406, 584, 592
In the factoring method, we have to find the divisors of all numbers
Divisors of 676 :
The positive integer divisors of 676 that completely divides 676 are.
1, 2, 4, 13, 26, 52, 169, 338, 676
Divisors of 406 :
The positive integer divisors of 406 that completely divides 406 are.
1, 2, 7, 14, 29, 58, 203, 406
Divisors of 584 :
The positive integer divisors of 584 that completely divides 584 are.
1, 2, 4, 8, 73, 146, 292, 584
Divisors of 592 :
The positive integer divisors of 592 that completely divides 592 are.
1, 2, 4, 8, 16, 37, 74, 148, 296, 592
GCD of numbers is the greatest common divisor
So, the GCD (676, 406, 584, 592) = 2.
Given numbers are 676, 406, 584, 592
The list of prime factors of all numbers are
Prime factors of 676 are 2 x 2 x 13 x 13
Prime factors of 406 are 2 x 7 x 29
Prime factors of 584 are 2 x 2 x 2 x 73
Prime factors of 592 are 2 x 2 x 2 x 2 x 37
The highest common occurrence is 21
Therefore, GCD of 676, 406, 584, 592 is 2.
Given numbers are 676, 406, 584, 592
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(676, 406) = 137228
GCD(676, 406) = ( 676 x 406 ) / 137228
= 676 / 406
= 676
Step2:
LCM(2, 584) = 584
GCD(2, 584) = ( 2 x 584 ) / 584
= 2 / 584
= 2
Step3:
LCM(2, 592) = 592
GCD(2, 592) = ( 2 x 592 ) / 592
= 2 / 592
= 2
So, Greatest Common Divisor of 676, 406, 584, 592 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 676, 406, 584, 592
The greatest common divisor of numbers 676, 406, 584, 592 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 676, 406, 584, 592 is 2.
1. What is the GCD of 676, 406, 584, 592?
GCD of given numbers 676, 406, 584, 592 is 2
2. How to calculate the greatest common divisor of 676, 406, 584, 592?
We can find the highest common divisor of 676, 406, 584, 592 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 676, 406, 584, 592 i.e 2.
3. How can I use the GCD of 676, 406, 584, 592Calculator?
Out the numbers 676, 406, 584, 592 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.