Online GCD Calculator is useful to find the GCD of 189, 748, 588 quickly. Get the easiest ways to solve the greatest common divisor of 189, 748, 588 i.e 1 in different methods as follows.
Given Input numbers are 189, 748, 588
In the factoring method, we have to find the divisors of all numbers
Divisors of 189 :
The positive integer divisors of 189 that completely divides 189 are.
1, 3, 7, 9, 21, 27, 63, 189
Divisors of 748 :
The positive integer divisors of 748 that completely divides 748 are.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
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
GCD of numbers is the greatest common divisor
So, the GCD (189, 748, 588) = 1.
Given numbers are 189, 748, 588
The list of prime factors of all numbers are
Prime factors of 189 are 3 x 3 x 3 x 7
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 588 are 2 x 2 x 3 x 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 189, 748, 588
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(189, 748) = 141372
GCD(189, 748) = ( 189 x 748 ) / 141372
= 189 / 748
= 189
Step2:
LCM(1, 588) = 588
GCD(1, 588) = ( 1 x 588 ) / 588
= 1 / 588
= 1
So, Greatest Common Divisor of 189, 748, 588 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 189, 748, 588
The greatest common divisor of numbers 189, 748, 588 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 748, 588 is 1.
1. What is the GCD of 189, 748, 588?
GCD of given numbers 189, 748, 588 is 1
2. How to calculate the greatest common divisor of 189, 748, 588?
We can find the highest common divisor of 189, 748, 588 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 189, 748, 588 i.e 1.
3. How can I use the GCD of 189, 748, 588Calculator?
Out the numbers 189, 748, 588 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.