Online GCD Calculator is useful to find the GCD of 252, 852, 384, 624 quickly. Get the easiest ways to solve the greatest common divisor of 252, 852, 384, 624 i.e 12 in different methods as follows.
Given Input numbers are 252, 852, 384, 624
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 852 :
The positive integer divisors of 852 that completely divides 852 are.
1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
Divisors of 384 :
The positive integer divisors of 384 that completely divides 384 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
Divisors of 624 :
The positive integer divisors of 624 that completely divides 624 are.
1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
GCD of numbers is the greatest common divisor
So, the GCD (252, 852, 384, 624) = 12.
Given numbers are 252, 852, 384, 624
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 852 are 2 x 2 x 3 x 71
Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13
The highest common occurrence is 22 x 31
Therefore, GCD of 252, 852, 384, 624 is 12.
Given numbers are 252, 852, 384, 624
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(252, 852) = 17892
GCD(252, 852) = ( 252 x 852 ) / 17892
= 252 / 852
= 252
Step2:
LCM(12, 384) = 384
GCD(12, 384) = ( 12 x 384 ) / 384
= 12 / 384
= 12
Step3:
LCM(12, 624) = 624
GCD(12, 624) = ( 12 x 624 ) / 624
= 12 / 624
= 12
So, Greatest Common Divisor of 252, 852, 384, 624 is 12
Here are some samples of GCD of Numbers calculations.
Given numbers are 252, 852, 384, 624
The greatest common divisor of numbers 252, 852, 384, 624 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 252, 852, 384, 624 is 12.
1. What is the GCD of 252, 852, 384, 624?
GCD of given numbers 252, 852, 384, 624 is 12
2. How to calculate the greatest common divisor of 252, 852, 384, 624?
We can find the highest common divisor of 252, 852, 384, 624 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, 852, 384, 624 i.e 12.
3. How can I use the GCD of 252, 852, 384, 624Calculator?
Out the numbers 252, 852, 384, 624 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.