Online GCD Calculator is useful to find the GCD of 400, 589, 588, 678 quickly. Get the easiest ways to solve the greatest common divisor of 400, 589, 588, 678 i.e 1 in different methods as follows.
Given Input numbers are 400, 589, 588, 678
In the factoring method, we have to find the divisors of all numbers
Divisors of 400 :
The positive integer divisors of 400 that completely divides 400 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
Divisors of 589 :
The positive integer divisors of 589 that completely divides 589 are.
1, 19, 31, 589
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 678 :
The positive integer divisors of 678 that completely divides 678 are.
1, 2, 3, 6, 113, 226, 339, 678
GCD of numbers is the greatest common divisor
So, the GCD (400, 589, 588, 678) = 1.
Given numbers are 400, 589, 588, 678
The list of prime factors of all numbers are
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 589 are 19 x 31
Prime factors of 588 are 2 x 2 x 3 x 7 x 7
Prime factors of 678 are 2 x 3 x 113
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 400, 589, 588, 678
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(400, 589) = 235600
GCD(400, 589) = ( 400 x 589 ) / 235600
= 400 / 589
= 400
Step2:
LCM(1, 588) = 588
GCD(1, 588) = ( 1 x 588 ) / 588
= 1 / 588
= 1
Step3:
LCM(1, 678) = 678
GCD(1, 678) = ( 1 x 678 ) / 678
= 1 / 678
= 1
So, Greatest Common Divisor of 400, 589, 588, 678 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 400, 589, 588, 678
The greatest common divisor of numbers 400, 589, 588, 678 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 589, 588, 678 is 1.
1. What is the GCD of 400, 589, 588, 678?
GCD of given numbers 400, 589, 588, 678 is 1
2. How to calculate the greatest common divisor of 400, 589, 588, 678?
We can find the highest common divisor of 400, 589, 588, 678 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 400, 589, 588, 678 i.e 1.
3. How can I use the GCD of 400, 589, 588, 678Calculator?
Out the numbers 400, 589, 588, 678 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.