Online GCD Calculator is useful to find the GCD of 735, 164, 216, 462 quickly. Get the easiest ways to solve the greatest common divisor of 735, 164, 216, 462 i.e 1 in different methods as follows.
Given Input numbers are 735, 164, 216, 462
In the factoring method, we have to find the divisors of all numbers
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 164 :
The positive integer divisors of 164 that completely divides 164 are.
1, 2, 4, 41, 82, 164
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 462 :
The positive integer divisors of 462 that completely divides 462 are.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
GCD of numbers is the greatest common divisor
So, the GCD (735, 164, 216, 462) = 1.
Given numbers are 735, 164, 216, 462
The list of prime factors of all numbers are
Prime factors of 735 are 3 x 5 x 7 x 7
Prime factors of 164 are 2 x 2 x 41
Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 462 are 2 x 3 x 7 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 735, 164, 216, 462
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(735, 164) = 120540
GCD(735, 164) = ( 735 x 164 ) / 120540
= 735 / 164
= 735
Step2:
LCM(1, 216) = 216
GCD(1, 216) = ( 1 x 216 ) / 216
= 1 / 216
= 1
Step3:
LCM(1, 462) = 462
GCD(1, 462) = ( 1 x 462 ) / 462
= 1 / 462
= 1
So, Greatest Common Divisor of 735, 164, 216, 462 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 735, 164, 216, 462
The greatest common divisor of numbers 735, 164, 216, 462 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 735, 164, 216, 462 is 1.
1. What is the GCD of 735, 164, 216, 462?
GCD of given numbers 735, 164, 216, 462 is 1
2. How to calculate the greatest common divisor of 735, 164, 216, 462?
We can find the highest common divisor of 735, 164, 216, 462 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 735, 164, 216, 462 i.e 1.
3. How can I use the GCD of 735, 164, 216, 462Calculator?
Out the numbers 735, 164, 216, 462 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.