Online GCD Calculator is useful to find the GCD of 608, 462, 216, 356 quickly. Get the easiest ways to solve the greatest common divisor of 608, 462, 216, 356 i.e 2 in different methods as follows.
Given Input numbers are 608, 462, 216, 356
In the factoring method, we have to find the divisors of all numbers
Divisors of 608 :
The positive integer divisors of 608 that completely divides 608 are.
1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
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
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 356 :
The positive integer divisors of 356 that completely divides 356 are.
1, 2, 4, 89, 178, 356
GCD of numbers is the greatest common divisor
So, the GCD (608, 462, 216, 356) = 2.
Given numbers are 608, 462, 216, 356
The list of prime factors of all numbers are
Prime factors of 608 are 2 x 2 x 2 x 2 x 2 x 19
Prime factors of 462 are 2 x 3 x 7 x 11
Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 356 are 2 x 2 x 89
The highest common occurrence is 21
Therefore, GCD of 608, 462, 216, 356 is 2.
Given numbers are 608, 462, 216, 356
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(608, 462) = 140448
GCD(608, 462) = ( 608 x 462 ) / 140448
= 608 / 462
= 608
Step2:
LCM(2, 216) = 216
GCD(2, 216) = ( 2 x 216 ) / 216
= 2 / 216
= 2
Step3:
LCM(2, 356) = 356
GCD(2, 356) = ( 2 x 356 ) / 356
= 2 / 356
= 2
So, Greatest Common Divisor of 608, 462, 216, 356 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 608, 462, 216, 356
The greatest common divisor of numbers 608, 462, 216, 356 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 608, 462, 216, 356 is 2.
1. What is the GCD of 608, 462, 216, 356?
GCD of given numbers 608, 462, 216, 356 is 2
2. How to calculate the greatest common divisor of 608, 462, 216, 356?
We can find the highest common divisor of 608, 462, 216, 356 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 608, 462, 216, 356 i.e 2.
3. How can I use the GCD of 608, 462, 216, 356Calculator?
Out the numbers 608, 462, 216, 356 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.