Online GCD Calculator is useful to find the GCD of 165, 124, 735, 216 quickly. Get the easiest ways to solve the greatest common divisor of 165, 124, 735, 216 i.e 1 in different methods as follows.
Given Input numbers are 165, 124, 735, 216
In the factoring method, we have to find the divisors of all numbers
Divisors of 165 :
The positive integer divisors of 165 that completely divides 165 are.
1, 3, 5, 11, 15, 33, 55, 165
Divisors of 124 :
The positive integer divisors of 124 that completely divides 124 are.
1, 2, 4, 31, 62, 124
Divisors of 735 :
The positive integer divisors of 735 that completely divides 735 are.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
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
GCD of numbers is the greatest common divisor
So, the GCD (165, 124, 735, 216) = 1.
Given numbers are 165, 124, 735, 216
The list of prime factors of all numbers are
Prime factors of 165 are 3 x 5 x 11
Prime factors of 124 are 2 x 2 x 31
Prime factors of 735 are 3 x 5 x 7 x 7
Prime factors of 216 are 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 165, 124, 735, 216
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(165, 124) = 20460
GCD(165, 124) = ( 165 x 124 ) / 20460
= 165 / 124
= 165
Step2:
LCM(1, 735) = 735
GCD(1, 735) = ( 1 x 735 ) / 735
= 1 / 735
= 1
Step3:
LCM(1, 216) = 216
GCD(1, 216) = ( 1 x 216 ) / 216
= 1 / 216
= 1
So, Greatest Common Divisor of 165, 124, 735, 216 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 165, 124, 735, 216
The greatest common divisor of numbers 165, 124, 735, 216 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 165, 124, 735, 216 is 1.
1. What is the GCD of 165, 124, 735, 216?
GCD of given numbers 165, 124, 735, 216 is 1
2. How to calculate the greatest common divisor of 165, 124, 735, 216?
We can find the highest common divisor of 165, 124, 735, 216 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 165, 124, 735, 216 i.e 1.
3. How can I use the GCD of 165, 124, 735, 216Calculator?
Out the numbers 165, 124, 735, 216 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.