Online GCD Calculator is useful to find the GCD of 872, 588, 608, 150 quickly. Get the easiest ways to solve the greatest common divisor of 872, 588, 608, 150 i.e 2 in different methods as follows.
Given Input numbers are 872, 588, 608, 150
In the factoring method, we have to find the divisors of all numbers
Divisors of 872 :
The positive integer divisors of 872 that completely divides 872 are.
1, 2, 4, 8, 109, 218, 436, 872
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 608 :
The positive integer divisors of 608 that completely divides 608 are.
1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
Divisors of 150 :
The positive integer divisors of 150 that completely divides 150 are.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
GCD of numbers is the greatest common divisor
So, the GCD (872, 588, 608, 150) = 2.
Given numbers are 872, 588, 608, 150
The list of prime factors of all numbers are
Prime factors of 872 are 2 x 2 x 2 x 109
Prime factors of 588 are 2 x 2 x 3 x 7 x 7
Prime factors of 608 are 2 x 2 x 2 x 2 x 2 x 19
Prime factors of 150 are 2 x 3 x 5 x 5
The highest common occurrence is 21
Therefore, GCD of 872, 588, 608, 150 is 2.
Given numbers are 872, 588, 608, 150
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(872, 588) = 128184
GCD(872, 588) = ( 872 x 588 ) / 128184
= 872 / 588
= 872
Step2:
LCM(4, 608) = 608
GCD(4, 608) = ( 4 x 608 ) / 608
= 4 / 608
= 4
Step3:
LCM(4, 150) = 300
GCD(4, 150) = ( 4 x 150 ) / 300
= 4 / 150
= 4
So, Greatest Common Divisor of 872, 588, 608, 150 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 872, 588, 608, 150
The greatest common divisor of numbers 872, 588, 608, 150 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 872, 588, 608, 150 is 2.
1. What is the GCD of 872, 588, 608, 150?
GCD of given numbers 872, 588, 608, 150 is 2
2. How to calculate the greatest common divisor of 872, 588, 608, 150?
We can find the highest common divisor of 872, 588, 608, 150 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 872, 588, 608, 150 i.e 2.
3. How can I use the GCD of 872, 588, 608, 150Calculator?
Out the numbers 872, 588, 608, 150 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.