Online GCD Calculator is useful to find the GCD of 472, 558, 744, 706 quickly. Get the easiest ways to solve the greatest common divisor of 472, 558, 744, 706 i.e 2 in different methods as follows.
Given Input numbers are 472, 558, 744, 706
In the factoring method, we have to find the divisors of all numbers
Divisors of 472 :
The positive integer divisors of 472 that completely divides 472 are.
1, 2, 4, 8, 59, 118, 236, 472
Divisors of 558 :
The positive integer divisors of 558 that completely divides 558 are.
1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
Divisors of 744 :
The positive integer divisors of 744 that completely divides 744 are.
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
Divisors of 706 :
The positive integer divisors of 706 that completely divides 706 are.
1, 2, 353, 706
GCD of numbers is the greatest common divisor
So, the GCD (472, 558, 744, 706) = 2.
Given numbers are 472, 558, 744, 706
The list of prime factors of all numbers are
Prime factors of 472 are 2 x 2 x 2 x 59
Prime factors of 558 are 2 x 3 x 3 x 31
Prime factors of 744 are 2 x 2 x 2 x 3 x 31
Prime factors of 706 are 2 x 353
The highest common occurrence is 21
Therefore, GCD of 472, 558, 744, 706 is 2.
Given numbers are 472, 558, 744, 706
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(472, 558) = 131688
GCD(472, 558) = ( 472 x 558 ) / 131688
= 472 / 558
= 472
Step2:
LCM(2, 744) = 744
GCD(2, 744) = ( 2 x 744 ) / 744
= 2 / 744
= 2
Step3:
LCM(2, 706) = 706
GCD(2, 706) = ( 2 x 706 ) / 706
= 2 / 706
= 2
So, Greatest Common Divisor of 472, 558, 744, 706 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 472, 558, 744, 706
The greatest common divisor of numbers 472, 558, 744, 706 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 472, 558, 744, 706 is 2.
1. What is the GCD of 472, 558, 744, 706?
GCD of given numbers 472, 558, 744, 706 is 2
2. How to calculate the greatest common divisor of 472, 558, 744, 706?
We can find the highest common divisor of 472, 558, 744, 706 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 472, 558, 744, 706 i.e 2.
3. How can I use the GCD of 472, 558, 744, 706Calculator?
Out the numbers 472, 558, 744, 706 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.