Online GCD Calculator is useful to find the GCD of 608, 772, 216, 336 quickly. Get the easiest ways to solve the greatest common divisor of 608, 772, 216, 336 i.e 4 in different methods as follows.
Given Input numbers are 608, 772, 216, 336
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 772 :
The positive integer divisors of 772 that completely divides 772 are.
1, 2, 4, 193, 386, 772
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 336 :
The positive integer divisors of 336 that completely divides 336 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
GCD of numbers is the greatest common divisor
So, the GCD (608, 772, 216, 336) = 4.
Given numbers are 608, 772, 216, 336
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 772 are 2 x 2 x 193
Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7
The highest common occurrence is 22
Therefore, GCD of 608, 772, 216, 336 is 4.
Given numbers are 608, 772, 216, 336
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(608, 772) = 117344
GCD(608, 772) = ( 608 x 772 ) / 117344
= 608 / 772
= 608
Step2:
LCM(4, 216) = 216
GCD(4, 216) = ( 4 x 216 ) / 216
= 4 / 216
= 4
Step3:
LCM(4, 336) = 336
GCD(4, 336) = ( 4 x 336 ) / 336
= 4 / 336
= 4
So, Greatest Common Divisor of 608, 772, 216, 336 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 608, 772, 216, 336
The greatest common divisor of numbers 608, 772, 216, 336 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 608, 772, 216, 336 is 4.
1. What is the GCD of 608, 772, 216, 336?
GCD of given numbers 608, 772, 216, 336 is 4
2. How to calculate the greatest common divisor of 608, 772, 216, 336?
We can find the highest common divisor of 608, 772, 216, 336 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, 772, 216, 336 i.e 4.
3. How can I use the GCD of 608, 772, 216, 336Calculator?
Out the numbers 608, 772, 216, 336 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.