Online GCD Calculator is useful to find the GCD of 852, 500, 636, 205 quickly. Get the easiest ways to solve the greatest common divisor of 852, 500, 636, 205 i.e 1 in different methods as follows.
Given Input numbers are 852, 500, 636, 205
In the factoring method, we have to find the divisors of all numbers
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 500 :
The positive integer divisors of 500 that completely divides 500 are.
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
Divisors of 636 :
The positive integer divisors of 636 that completely divides 636 are.
1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
Divisors of 205 :
The positive integer divisors of 205 that completely divides 205 are.
1, 5, 41, 205
GCD of numbers is the greatest common divisor
So, the GCD (852, 500, 636, 205) = 1.
Given numbers are 852, 500, 636, 205
The list of prime factors of all numbers are
Prime factors of 852 are 2 x 2 x 3 x 71
Prime factors of 500 are 2 x 2 x 5 x 5 x 5
Prime factors of 636 are 2 x 2 x 3 x 53
Prime factors of 205 are 5 x 41
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 852, 500, 636, 205
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(852, 500) = 106500
GCD(852, 500) = ( 852 x 500 ) / 106500
= 852 / 500
= 852
Step2:
LCM(4, 636) = 636
GCD(4, 636) = ( 4 x 636 ) / 636
= 4 / 636
= 4
Step3:
LCM(4, 205) = 820
GCD(4, 205) = ( 4 x 205 ) / 820
= 4 / 205
= 4
So, Greatest Common Divisor of 852, 500, 636, 205 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 852, 500, 636, 205
The greatest common divisor of numbers 852, 500, 636, 205 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 852, 500, 636, 205 is 1.
1. What is the GCD of 852, 500, 636, 205?
GCD of given numbers 852, 500, 636, 205 is 1
2. How to calculate the greatest common divisor of 852, 500, 636, 205?
We can find the highest common divisor of 852, 500, 636, 205 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 852, 500, 636, 205 i.e 1.
3. How can I use the GCD of 852, 500, 636, 205Calculator?
Out the numbers 852, 500, 636, 205 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.