Online GCD Calculator is useful to find the GCD of 360, 752, 652, 112 quickly. Get the easiest ways to solve the greatest common divisor of 360, 752, 652, 112 i.e 4 in different methods as follows.
Given Input numbers are 360, 752, 652, 112
In the factoring method, we have to find the divisors of all numbers
Divisors of 360 :
The positive integer divisors of 360 that completely divides 360 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
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 652 :
The positive integer divisors of 652 that completely divides 652 are.
1, 2, 4, 163, 326, 652
Divisors of 112 :
The positive integer divisors of 112 that completely divides 112 are.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
GCD of numbers is the greatest common divisor
So, the GCD (360, 752, 652, 112) = 4.
Given numbers are 360, 752, 652, 112
The list of prime factors of all numbers are
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 752 are 2 x 2 x 2 x 2 x 47
Prime factors of 652 are 2 x 2 x 163
Prime factors of 112 are 2 x 2 x 2 x 2 x 7
The highest common occurrence is 22
Therefore, GCD of 360, 752, 652, 112 is 4.
Given numbers are 360, 752, 652, 112
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(360, 752) = 33840
GCD(360, 752) = ( 360 x 752 ) / 33840
= 360 / 752
= 360
Step2:
LCM(8, 652) = 1304
GCD(8, 652) = ( 8 x 652 ) / 1304
= 8 / 652
= 8
Step3:
LCM(4, 112) = 112
GCD(4, 112) = ( 4 x 112 ) / 112
= 4 / 112
= 4
So, Greatest Common Divisor of 360, 752, 652, 112 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 360, 752, 652, 112
The greatest common divisor of numbers 360, 752, 652, 112 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 752, 652, 112 is 4.
1. What is the GCD of 360, 752, 652, 112?
GCD of given numbers 360, 752, 652, 112 is 4
2. How to calculate the greatest common divisor of 360, 752, 652, 112?
We can find the highest common divisor of 360, 752, 652, 112 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 360, 752, 652, 112 i.e 4.
3. How can I use the GCD of 360, 752, 652, 112Calculator?
Out the numbers 360, 752, 652, 112 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.