Online GCD Calculator is useful to find the GCD of 212, 852, 286, 825 quickly. Get the easiest ways to solve the greatest common divisor of 212, 852, 286, 825 i.e 1 in different methods as follows.
Given Input numbers are 212, 852, 286, 825
In the factoring method, we have to find the divisors of all numbers
Divisors of 212 :
The positive integer divisors of 212 that completely divides 212 are.
1, 2, 4, 53, 106, 212
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 286 :
The positive integer divisors of 286 that completely divides 286 are.
1, 2, 11, 13, 22, 26, 143, 286
Divisors of 825 :
The positive integer divisors of 825 that completely divides 825 are.
1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
GCD of numbers is the greatest common divisor
So, the GCD (212, 852, 286, 825) = 1.
Given numbers are 212, 852, 286, 825
The list of prime factors of all numbers are
Prime factors of 212 are 2 x 2 x 53
Prime factors of 852 are 2 x 2 x 3 x 71
Prime factors of 286 are 2 x 11 x 13
Prime factors of 825 are 3 x 5 x 5 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 212, 852, 286, 825
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(212, 852) = 45156
GCD(212, 852) = ( 212 x 852 ) / 45156
= 212 / 852
= 212
Step2:
LCM(4, 286) = 572
GCD(4, 286) = ( 4 x 286 ) / 572
= 4 / 286
= 4
Step3:
LCM(2, 825) = 1650
GCD(2, 825) = ( 2 x 825 ) / 1650
= 2 / 825
= 2
So, Greatest Common Divisor of 212, 852, 286, 825 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 212, 852, 286, 825
The greatest common divisor of numbers 212, 852, 286, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 212, 852, 286, 825 is 1.
1. What is the GCD of 212, 852, 286, 825?
GCD of given numbers 212, 852, 286, 825 is 1
2. How to calculate the greatest common divisor of 212, 852, 286, 825?
We can find the highest common divisor of 212, 852, 286, 825 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 212, 852, 286, 825 i.e 1.
3. How can I use the GCD of 212, 852, 286, 825Calculator?
Out the numbers 212, 852, 286, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.