Online GCD Calculator is useful to find the GCD of 356, 588, 446, 872 quickly. Get the easiest ways to solve the greatest common divisor of 356, 588, 446, 872 i.e 2 in different methods as follows.
Given Input numbers are 356, 588, 446, 872
In the factoring method, we have to find the divisors of all numbers
Divisors of 356 :
The positive integer divisors of 356 that completely divides 356 are.
1, 2, 4, 89, 178, 356
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
Divisors of 446 :
The positive integer divisors of 446 that completely divides 446 are.
1, 2, 223, 446
Divisors of 872 :
The positive integer divisors of 872 that completely divides 872 are.
1, 2, 4, 8, 109, 218, 436, 872
GCD of numbers is the greatest common divisor
So, the GCD (356, 588, 446, 872) = 2.
Given numbers are 356, 588, 446, 872
The list of prime factors of all numbers are
Prime factors of 356 are 2 x 2 x 89
Prime factors of 588 are 2 x 2 x 3 x 7 x 7
Prime factors of 446 are 2 x 223
Prime factors of 872 are 2 x 2 x 2 x 109
The highest common occurrence is 21
Therefore, GCD of 356, 588, 446, 872 is 2.
Given numbers are 356, 588, 446, 872
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(356, 588) = 52332
GCD(356, 588) = ( 356 x 588 ) / 52332
= 356 / 588
= 356
Step2:
LCM(4, 446) = 892
GCD(4, 446) = ( 4 x 446 ) / 892
= 4 / 446
= 4
Step3:
LCM(2, 872) = 872
GCD(2, 872) = ( 2 x 872 ) / 872
= 2 / 872
= 2
So, Greatest Common Divisor of 356, 588, 446, 872 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 356, 588, 446, 872
The greatest common divisor of numbers 356, 588, 446, 872 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 356, 588, 446, 872 is 2.
1. What is the GCD of 356, 588, 446, 872?
GCD of given numbers 356, 588, 446, 872 is 2
2. How to calculate the greatest common divisor of 356, 588, 446, 872?
We can find the highest common divisor of 356, 588, 446, 872 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 356, 588, 446, 872 i.e 2.
3. How can I use the GCD of 356, 588, 446, 872Calculator?
Out the numbers 356, 588, 446, 872 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.