Online GCD Calculator is useful to find the GCD of 400, 768, 591, 655 quickly. Get the easiest ways to solve the greatest common divisor of 400, 768, 591, 655 i.e 1 in different methods as follows.
Given Input numbers are 400, 768, 591, 655
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 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 591 :
The positive integer divisors of 591 that completely divides 591 are.
1, 3, 197, 591
Divisors of 655 :
The positive integer divisors of 655 that completely divides 655 are.
1, 5, 131, 655
GCD of numbers is the greatest common divisor
So, the GCD (400, 768, 591, 655) = 1.
Given numbers are 400, 768, 591, 655
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 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime factors of 591 are 3 x 197
Prime factors of 655 are 5 x 131
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 400, 768, 591, 655
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(400, 768) = 19200
GCD(400, 768) = ( 400 x 768 ) / 19200
= 400 / 768
= 400
Step2:
LCM(16, 591) = 9456
GCD(16, 591) = ( 16 x 591 ) / 9456
= 16 / 591
= 16
Step3:
LCM(1, 655) = 655
GCD(1, 655) = ( 1 x 655 ) / 655
= 1 / 655
= 1
So, Greatest Common Divisor of 400, 768, 591, 655 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 400, 768, 591, 655
The greatest common divisor of numbers 400, 768, 591, 655 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 768, 591, 655 is 1.
1. What is the GCD of 400, 768, 591, 655?
GCD of given numbers 400, 768, 591, 655 is 1
2. How to calculate the greatest common divisor of 400, 768, 591, 655?
We can find the highest common divisor of 400, 768, 591, 655 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, 768, 591, 655 i.e 1.
3. How can I use the GCD of 400, 768, 591, 655Calculator?
Out the numbers 400, 768, 591, 655 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.