Online GCD Calculator is useful to find the GCD of 252, 452, 112 quickly. Get the easiest ways to solve the greatest common divisor of 252, 452, 112 i.e 4 in different methods as follows.
Given Input numbers are 252, 452, 112
In the factoring method, we have to find the divisors of all numbers
Divisors of 252 :
The positive integer divisors of 252 that completely divides 252 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
Divisors of 452 :
The positive integer divisors of 452 that completely divides 452 are.
1, 2, 4, 113, 226, 452
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 (252, 452, 112) = 4.
Given numbers are 252, 452, 112
The list of prime factors of all numbers are
Prime factors of 252 are 2 x 2 x 3 x 3 x 7
Prime factors of 452 are 2 x 2 x 113
Prime factors of 112 are 2 x 2 x 2 x 2 x 7
The highest common occurrence is 22
Therefore, GCD of 252, 452, 112 is 4.
Given numbers are 252, 452, 112
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(252, 452) = 28476
GCD(252, 452) = ( 252 x 452 ) / 28476
= 252 / 452
= 252
Step2:
LCM(4, 112) = 112
GCD(4, 112) = ( 4 x 112 ) / 112
= 4 / 112
= 4
So, Greatest Common Divisor of 252, 452, 112 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 252, 452, 112
The greatest common divisor of numbers 252, 452, 112 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 252, 452, 112 is 4.
1. What is the GCD of 252, 452, 112?
GCD of given numbers 252, 452, 112 is 4
2. How to calculate the greatest common divisor of 252, 452, 112?
We can find the highest common divisor of 252, 452, 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 252, 452, 112 i.e 4.
3. How can I use the GCD of 252, 452, 112Calculator?
Out the numbers 252, 452, 112 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.