Online GCD Calculator is useful to find the GCD of 158, 204, 512, 825 quickly. Get the easiest ways to solve the greatest common divisor of 158, 204, 512, 825 i.e 1 in different methods as follows.
Given Input numbers are 158, 204, 512, 825
In the factoring method, we have to find the divisors of all numbers
Divisors of 158 :
The positive integer divisors of 158 that completely divides 158 are.
1, 2, 79, 158
Divisors of 204 :
The positive integer divisors of 204 that completely divides 204 are.
1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
Divisors of 512 :
The positive integer divisors of 512 that completely divides 512 are.
1, 2, 4, 8, 16, 32, 64, 128, 256, 512
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 (158, 204, 512, 825) = 1.
Given numbers are 158, 204, 512, 825
The list of prime factors of all numbers are
Prime factors of 158 are 2 x 79
Prime factors of 204 are 2 x 2 x 3 x 17
Prime factors of 512 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
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 158, 204, 512, 825
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(158, 204) = 16116
GCD(158, 204) = ( 158 x 204 ) / 16116
= 158 / 204
= 158
Step2:
LCM(2, 512) = 512
GCD(2, 512) = ( 2 x 512 ) / 512
= 2 / 512
= 2
Step3:
LCM(2, 825) = 1650
GCD(2, 825) = ( 2 x 825 ) / 1650
= 2 / 825
= 2
So, Greatest Common Divisor of 158, 204, 512, 825 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 158, 204, 512, 825
The greatest common divisor of numbers 158, 204, 512, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 158, 204, 512, 825 is 1.
1. What is the GCD of 158, 204, 512, 825?
GCD of given numbers 158, 204, 512, 825 is 1
2. How to calculate the greatest common divisor of 158, 204, 512, 825?
We can find the highest common divisor of 158, 204, 512, 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 158, 204, 512, 825 i.e 1.
3. How can I use the GCD of 158, 204, 512, 825Calculator?
Out the numbers 158, 204, 512, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.