Online GCD Calculator is useful to find the GCD of 216, 660, 87, 736 quickly. Get the easiest ways to solve the greatest common divisor of 216, 660, 87, 736 i.e 1 in different methods as follows.
Given Input numbers are 216, 660, 87, 736
In the factoring method, we have to find the divisors of all numbers
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 660 :
The positive integer divisors of 660 that completely divides 660 are.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Divisors of 87 :
The positive integer divisors of 87 that completely divides 87 are.
1, 3, 29, 87
Divisors of 736 :
The positive integer divisors of 736 that completely divides 736 are.
1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
GCD of numbers is the greatest common divisor
So, the GCD (216, 660, 87, 736) = 1.
Given numbers are 216, 660, 87, 736
The list of prime factors of all numbers are
Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
Prime factors of 87 are 3 x 29
Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 216, 660, 87, 736
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(216, 660) = 11880
GCD(216, 660) = ( 216 x 660 ) / 11880
= 216 / 660
= 216
Step2:
LCM(12, 87) = 348
GCD(12, 87) = ( 12 x 87 ) / 348
= 12 / 87
= 12
Step3:
LCM(3, 736) = 2208
GCD(3, 736) = ( 3 x 736 ) / 2208
= 3 / 736
= 3
So, Greatest Common Divisor of 216, 660, 87, 736 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 216, 660, 87, 736
The greatest common divisor of numbers 216, 660, 87, 736 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 216, 660, 87, 736 is 1.
1. What is the GCD of 216, 660, 87, 736?
GCD of given numbers 216, 660, 87, 736 is 1
2. How to calculate the greatest common divisor of 216, 660, 87, 736?
We can find the highest common divisor of 216, 660, 87, 736 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 216, 660, 87, 736 i.e 1.
3. How can I use the GCD of 216, 660, 87, 736Calculator?
Out the numbers 216, 660, 87, 736 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.