Online GCD Calculator is useful to find the GCD of 128, 587, 142, 360 quickly. Get the easiest ways to solve the greatest common divisor of 128, 587, 142, 360 i.e 1 in different methods as follows.
Given Input numbers are 128, 587, 142, 360
In the factoring method, we have to find the divisors of all numbers
Divisors of 128 :
The positive integer divisors of 128 that completely divides 128 are.
1, 2, 4, 8, 16, 32, 64, 128
Divisors of 587 :
The positive integer divisors of 587 that completely divides 587 are.
1, 587
Divisors of 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
Divisors of 360 :
The positive integer divisors of 360 that completely divides 360 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
GCD of numbers is the greatest common divisor
So, the GCD (128, 587, 142, 360) = 1.
Given numbers are 128, 587, 142, 360
The list of prime factors of all numbers are
Prime factors of 128 are 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime factors of 587 are 587
Prime factors of 142 are 2 x 71
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 128, 587, 142, 360
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(128, 587) = 75136
GCD(128, 587) = ( 128 x 587 ) / 75136
= 128 / 587
= 128
Step2:
LCM(1, 142) = 142
GCD(1, 142) = ( 1 x 142 ) / 142
= 1 / 142
= 1
Step3:
LCM(1, 360) = 360
GCD(1, 360) = ( 1 x 360 ) / 360
= 1 / 360
= 1
So, Greatest Common Divisor of 128, 587, 142, 360 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 128, 587, 142, 360
The greatest common divisor of numbers 128, 587, 142, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 128, 587, 142, 360 is 1.
1. What is the GCD of 128, 587, 142, 360?
GCD of given numbers 128, 587, 142, 360 is 1
2. How to calculate the greatest common divisor of 128, 587, 142, 360?
We can find the highest common divisor of 128, 587, 142, 360 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 128, 587, 142, 360 i.e 1.
3. How can I use the GCD of 128, 587, 142, 360Calculator?
Out the numbers 128, 587, 142, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.