Online GCD Calculator is useful to find the GCD of 864, 420, 119, 289 quickly. Get the easiest ways to solve the greatest common divisor of 864, 420, 119, 289 i.e 1 in different methods as follows.
Given Input numbers are 864, 420, 119, 289
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 119 :
The positive integer divisors of 119 that completely divides 119 are.
1, 7, 17, 119
Divisors of 289 :
The positive integer divisors of 289 that completely divides 289 are.
1, 17, 289
GCD of numbers is the greatest common divisor
So, the GCD (864, 420, 119, 289) = 1.
Given numbers are 864, 420, 119, 289
The list of prime factors of all numbers are
Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 119 are 7 x 17
Prime factors of 289 are 17 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 864, 420, 119, 289
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(864, 420) = 30240
GCD(864, 420) = ( 864 x 420 ) / 30240
= 864 / 420
= 864
Step2:
LCM(12, 119) = 1428
GCD(12, 119) = ( 12 x 119 ) / 1428
= 12 / 119
= 12
Step3:
LCM(1, 289) = 289
GCD(1, 289) = ( 1 x 289 ) / 289
= 1 / 289
= 1
So, Greatest Common Divisor of 864, 420, 119, 289 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 864, 420, 119, 289
The greatest common divisor of numbers 864, 420, 119, 289 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 864, 420, 119, 289 is 1.
1. What is the GCD of 864, 420, 119, 289?
GCD of given numbers 864, 420, 119, 289 is 1
2. How to calculate the greatest common divisor of 864, 420, 119, 289?
We can find the highest common divisor of 864, 420, 119, 289 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 864, 420, 119, 289 i.e 1.
3. How can I use the GCD of 864, 420, 119, 289Calculator?
Out the numbers 864, 420, 119, 289 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.