Online GCD Calculator is useful to find the GCD of 736, 912, 752, 180 quickly. Get the easiest ways to solve the greatest common divisor of 736, 912, 752, 180 i.e 4 in different methods as follows.
Given Input numbers are 736, 912, 752, 180
In the factoring method, we have to find the divisors of all numbers
Divisors of 736 :
The positive integer divisors of 736 that completely divides 736 are.
1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
Divisors of 912 :
The positive integer divisors of 912 that completely divides 912 are.
1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
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 180 :
The positive integer divisors of 180 that completely divides 180 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
GCD of numbers is the greatest common divisor
So, the GCD (736, 912, 752, 180) = 4.
Given numbers are 736, 912, 752, 180
The list of prime factors of all numbers are
Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23
Prime factors of 912 are 2 x 2 x 2 x 2 x 3 x 19
Prime factors of 752 are 2 x 2 x 2 x 2 x 47
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
The highest common occurrence is 22
Therefore, GCD of 736, 912, 752, 180 is 4.
Given numbers are 736, 912, 752, 180
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(736, 912) = 41952
GCD(736, 912) = ( 736 x 912 ) / 41952
= 736 / 912
= 736
Step2:
LCM(16, 752) = 752
GCD(16, 752) = ( 16 x 752 ) / 752
= 16 / 752
= 16
Step3:
LCM(16, 180) = 720
GCD(16, 180) = ( 16 x 180 ) / 720
= 16 / 180
= 16
So, Greatest Common Divisor of 736, 912, 752, 180 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 736, 912, 752, 180
The greatest common divisor of numbers 736, 912, 752, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 736, 912, 752, 180 is 4.
1. What is the GCD of 736, 912, 752, 180?
GCD of given numbers 736, 912, 752, 180 is 4
2. How to calculate the greatest common divisor of 736, 912, 752, 180?
We can find the highest common divisor of 736, 912, 752, 180 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 736, 912, 752, 180 i.e 4.
3. How can I use the GCD of 736, 912, 752, 180Calculator?
Out the numbers 736, 912, 752, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.