Online GCD Calculator is useful to find the GCD of 408, 852, 52 quickly. Get the easiest ways to solve the greatest common divisor of 408, 852, 52 i.e 4 in different methods as follows.
Given Input numbers are 408, 852, 52
In the factoring method, we have to find the divisors of all numbers
Divisors of 408 :
The positive integer divisors of 408 that completely divides 408 are.
1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
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 52 :
The positive integer divisors of 52 that completely divides 52 are.
1, 2, 4, 13, 26, 52
GCD of numbers is the greatest common divisor
So, the GCD (408, 852, 52) = 4.
Given numbers are 408, 852, 52
The list of prime factors of all numbers are
Prime factors of 408 are 2 x 2 x 2 x 3 x 17
Prime factors of 852 are 2 x 2 x 3 x 71
Prime factors of 52 are 2 x 2 x 13
The highest common occurrence is 22
Therefore, GCD of 408, 852, 52 is 4.
Given numbers are 408, 852, 52
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(408, 852) = 28968
GCD(408, 852) = ( 408 x 852 ) / 28968
= 408 / 852
= 408
Step2:
LCM(12, 52) = 156
GCD(12, 52) = ( 12 x 52 ) / 156
= 12 / 52
= 12
So, Greatest Common Divisor of 408, 852, 52 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 408, 852, 52
The greatest common divisor of numbers 408, 852, 52 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 408, 852, 52 is 4.
1. What is the GCD of 408, 852, 52?
GCD of given numbers 408, 852, 52 is 4
2. How to calculate the greatest common divisor of 408, 852, 52?
We can find the highest common divisor of 408, 852, 52 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 408, 852, 52 i.e 4.
3. How can I use the GCD of 408, 852, 52Calculator?
Out the numbers 408, 852, 52 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.