Online GCD Calculator is useful to find the GCD of 864, 540, 334, 687 quickly. Get the easiest ways to solve the greatest common divisor of 864, 540, 334, 687 i.e 1 in different methods as follows.
Given Input numbers are 864, 540, 334, 687
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 540 :
The positive integer divisors of 540 that completely divides 540 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
Divisors of 334 :
The positive integer divisors of 334 that completely divides 334 are.
1, 2, 167, 334
Divisors of 687 :
The positive integer divisors of 687 that completely divides 687 are.
1, 3, 229, 687
GCD of numbers is the greatest common divisor
So, the GCD (864, 540, 334, 687) = 1.
Given numbers are 864, 540, 334, 687
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 540 are 2 x 2 x 3 x 3 x 3 x 5
Prime factors of 334 are 2 x 167
Prime factors of 687 are 3 x 229
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 864, 540, 334, 687
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(864, 540) = 4320
GCD(864, 540) = ( 864 x 540 ) / 4320
= 864 / 540
= 864
Step2:
LCM(108, 334) = 18036
GCD(108, 334) = ( 108 x 334 ) / 18036
= 108 / 334
= 108
Step3:
LCM(2, 687) = 1374
GCD(2, 687) = ( 2 x 687 ) / 1374
= 2 / 687
= 2
So, Greatest Common Divisor of 864, 540, 334, 687 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 864, 540, 334, 687
The greatest common divisor of numbers 864, 540, 334, 687 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 864, 540, 334, 687 is 1.
1. What is the GCD of 864, 540, 334, 687?
GCD of given numbers 864, 540, 334, 687 is 1
2. How to calculate the greatest common divisor of 864, 540, 334, 687?
We can find the highest common divisor of 864, 540, 334, 687 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, 540, 334, 687 i.e 1.
3. How can I use the GCD of 864, 540, 334, 687Calculator?
Out the numbers 864, 540, 334, 687 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.