Online GCD Calculator is useful to find the GCD of 752, 170, 576, 156 quickly. Get the easiest ways to solve the greatest common divisor of 752, 170, 576, 156 i.e 2 in different methods as follows.
Given Input numbers are 752, 170, 576, 156
In the factoring method, we have to find the divisors of all numbers
Divisors of 752 :
The positive integer divisors of 752 that completely divides 752 are.
1, 2, 4, 8, 16, 47, 94, 188, 376, 752
Divisors of 170 :
The positive integer divisors of 170 that completely divides 170 are.
1, 2, 5, 10, 17, 34, 85, 170
Divisors of 576 :
The positive integer divisors of 576 that completely divides 576 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
Divisors of 156 :
The positive integer divisors of 156 that completely divides 156 are.
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
GCD of numbers is the greatest common divisor
So, the GCD (752, 170, 576, 156) = 2.
Given numbers are 752, 170, 576, 156
The list of prime factors of all numbers are
Prime factors of 752 are 2 x 2 x 2 x 2 x 47
Prime factors of 170 are 2 x 5 x 17
Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 156 are 2 x 2 x 3 x 13
The highest common occurrence is 21
Therefore, GCD of 752, 170, 576, 156 is 2.
Given numbers are 752, 170, 576, 156
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(752, 170) = 63920
GCD(752, 170) = ( 752 x 170 ) / 63920
= 752 / 170
= 752
Step2:
LCM(2, 576) = 576
GCD(2, 576) = ( 2 x 576 ) / 576
= 2 / 576
= 2
Step3:
LCM(2, 156) = 156
GCD(2, 156) = ( 2 x 156 ) / 156
= 2 / 156
= 2
So, Greatest Common Divisor of 752, 170, 576, 156 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 752, 170, 576, 156
The greatest common divisor of numbers 752, 170, 576, 156 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 752, 170, 576, 156 is 2.
1. What is the GCD of 752, 170, 576, 156?
GCD of given numbers 752, 170, 576, 156 is 2
2. How to calculate the greatest common divisor of 752, 170, 576, 156?
We can find the highest common divisor of 752, 170, 576, 156 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 752, 170, 576, 156 i.e 2.
3. How can I use the GCD of 752, 170, 576, 156Calculator?
Out the numbers 752, 170, 576, 156 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.