Online GCD Calculator is useful to find the GCD of 687, 616, 216, 387 quickly. Get the easiest ways to solve the greatest common divisor of 687, 616, 216, 387 i.e 1 in different methods as follows.
Given Input numbers are 687, 616, 216, 387
In the factoring method, we have to find the divisors of all numbers
Divisors of 687 :
The positive integer divisors of 687 that completely divides 687 are.
1, 3, 229, 687
Divisors of 616 :
The positive integer divisors of 616 that completely divides 616 are.
1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
Divisors of 216 :
The positive integer divisors of 216 that completely divides 216 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
Divisors of 387 :
The positive integer divisors of 387 that completely divides 387 are.
1, 3, 9, 43, 129, 387
GCD of numbers is the greatest common divisor
So, the GCD (687, 616, 216, 387) = 1.
Given numbers are 687, 616, 216, 387
The list of prime factors of all numbers are
Prime factors of 687 are 3 x 229
Prime factors of 616 are 2 x 2 x 2 x 7 x 11
Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 387 are 3 x 3 x 43
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 687, 616, 216, 387
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(687, 616) = 423192
GCD(687, 616) = ( 687 x 616 ) / 423192
= 687 / 616
= 687
Step2:
LCM(1, 216) = 216
GCD(1, 216) = ( 1 x 216 ) / 216
= 1 / 216
= 1
Step3:
LCM(1, 387) = 387
GCD(1, 387) = ( 1 x 387 ) / 387
= 1 / 387
= 1
So, Greatest Common Divisor of 687, 616, 216, 387 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 687, 616, 216, 387
The greatest common divisor of numbers 687, 616, 216, 387 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 687, 616, 216, 387 is 1.
1. What is the GCD of 687, 616, 216, 387?
GCD of given numbers 687, 616, 216, 387 is 1
2. How to calculate the greatest common divisor of 687, 616, 216, 387?
We can find the highest common divisor of 687, 616, 216, 387 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 687, 616, 216, 387 i.e 1.
3. How can I use the GCD of 687, 616, 216, 387Calculator?
Out the numbers 687, 616, 216, 387 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.