Online GCD Calculator is useful to find the GCD of 134, 768, 588, 189 quickly. Get the easiest ways to solve the greatest common divisor of 134, 768, 588, 189 i.e 1 in different methods as follows.
Given Input numbers are 134, 768, 588, 189
In the factoring method, we have to find the divisors of all numbers
Divisors of 134 :
The positive integer divisors of 134 that completely divides 134 are.
1, 2, 67, 134
Divisors of 768 :
The positive integer divisors of 768 that completely divides 768 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
Divisors of 588 :
The positive integer divisors of 588 that completely divides 588 are.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
Divisors of 189 :
The positive integer divisors of 189 that completely divides 189 are.
1, 3, 7, 9, 21, 27, 63, 189
GCD of numbers is the greatest common divisor
So, the GCD (134, 768, 588, 189) = 1.
Given numbers are 134, 768, 588, 189
The list of prime factors of all numbers are
Prime factors of 134 are 2 x 67
Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime factors of 588 are 2 x 2 x 3 x 7 x 7
Prime factors of 189 are 3 x 3 x 3 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 134, 768, 588, 189
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(134, 768) = 51456
GCD(134, 768) = ( 134 x 768 ) / 51456
= 134 / 768
= 134
Step2:
LCM(2, 588) = 588
GCD(2, 588) = ( 2 x 588 ) / 588
= 2 / 588
= 2
Step3:
LCM(2, 189) = 378
GCD(2, 189) = ( 2 x 189 ) / 378
= 2 / 189
= 2
So, Greatest Common Divisor of 134, 768, 588, 189 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 134, 768, 588, 189
The greatest common divisor of numbers 134, 768, 588, 189 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 134, 768, 588, 189 is 1.
1. What is the GCD of 134, 768, 588, 189?
GCD of given numbers 134, 768, 588, 189 is 1
2. How to calculate the greatest common divisor of 134, 768, 588, 189?
We can find the highest common divisor of 134, 768, 588, 189 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 134, 768, 588, 189 i.e 1.
3. How can I use the GCD of 134, 768, 588, 189Calculator?
Out the numbers 134, 768, 588, 189 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.