Online GCD Calculator is useful to find the GCD of 512, 189, 364, 118 quickly. Get the easiest ways to solve the greatest common divisor of 512, 189, 364, 118 i.e 1 in different methods as follows.
Given Input numbers are 512, 189, 364, 118
In the factoring method, we have to find the divisors of all numbers
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 189 :
The positive integer divisors of 189 that completely divides 189 are.
1, 3, 7, 9, 21, 27, 63, 189
Divisors of 364 :
The positive integer divisors of 364 that completely divides 364 are.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
Divisors of 118 :
The positive integer divisors of 118 that completely divides 118 are.
1, 2, 59, 118
GCD of numbers is the greatest common divisor
So, the GCD (512, 189, 364, 118) = 1.
Given numbers are 512, 189, 364, 118
The list of prime factors of all numbers are
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 189 are 3 x 3 x 3 x 7
Prime factors of 364 are 2 x 2 x 7 x 13
Prime factors of 118 are 2 x 59
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 512, 189, 364, 118
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(512, 189) = 96768
GCD(512, 189) = ( 512 x 189 ) / 96768
= 512 / 189
= 512
Step2:
LCM(1, 364) = 364
GCD(1, 364) = ( 1 x 364 ) / 364
= 1 / 364
= 1
Step3:
LCM(1, 118) = 118
GCD(1, 118) = ( 1 x 118 ) / 118
= 1 / 118
= 1
So, Greatest Common Divisor of 512, 189, 364, 118 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 512, 189, 364, 118
The greatest common divisor of numbers 512, 189, 364, 118 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 512, 189, 364, 118 is 1.
1. What is the GCD of 512, 189, 364, 118?
GCD of given numbers 512, 189, 364, 118 is 1
2. How to calculate the greatest common divisor of 512, 189, 364, 118?
We can find the highest common divisor of 512, 189, 364, 118 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 512, 189, 364, 118 i.e 1.
3. How can I use the GCD of 512, 189, 364, 118Calculator?
Out the numbers 512, 189, 364, 118 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.