Online GCD Calculator is useful to find the GCD of 120, 554, 987, 864 quickly. Get the easiest ways to solve the greatest common divisor of 120, 554, 987, 864 i.e 1 in different methods as follows.
Given Input numbers are 120, 554, 987, 864
In the factoring method, we have to find the divisors of all numbers
Divisors of 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Divisors of 554 :
The positive integer divisors of 554 that completely divides 554 are.
1, 2, 277, 554
Divisors of 987 :
The positive integer divisors of 987 that completely divides 987 are.
1, 3, 7, 21, 47, 141, 329, 987
Divisors of 864 :
The positive integer divisors of 864 that completely divides 864 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
GCD of numbers is the greatest common divisor
So, the GCD (120, 554, 987, 864) = 1.
Given numbers are 120, 554, 987, 864
The list of prime factors of all numbers are
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 554 are 2 x 277
Prime factors of 987 are 3 x 7 x 47
Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 120, 554, 987, 864
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(120, 554) = 33240
GCD(120, 554) = ( 120 x 554 ) / 33240
= 120 / 554
= 120
Step2:
LCM(2, 987) = 1974
GCD(2, 987) = ( 2 x 987 ) / 1974
= 2 / 987
= 2
Step3:
LCM(1, 864) = 864
GCD(1, 864) = ( 1 x 864 ) / 864
= 1 / 864
= 1
So, Greatest Common Divisor of 120, 554, 987, 864 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 120, 554, 987, 864
The greatest common divisor of numbers 120, 554, 987, 864 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 554, 987, 864 is 1.
1. What is the GCD of 120, 554, 987, 864?
GCD of given numbers 120, 554, 987, 864 is 1
2. How to calculate the greatest common divisor of 120, 554, 987, 864?
We can find the highest common divisor of 120, 554, 987, 864 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 120, 554, 987, 864 i.e 1.
3. How can I use the GCD of 120, 554, 987, 864Calculator?
Out the numbers 120, 554, 987, 864 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.