Online GCD Calculator is useful to find the GCD of 308, 164, 72, 662 quickly. Get the easiest ways to solve the greatest common divisor of 308, 164, 72, 662 i.e 2 in different methods as follows.
Given Input numbers are 308, 164, 72, 662
In the factoring method, we have to find the divisors of all numbers
Divisors of 308 :
The positive integer divisors of 308 that completely divides 308 are.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
Divisors of 164 :
The positive integer divisors of 164 that completely divides 164 are.
1, 2, 4, 41, 82, 164
Divisors of 72 :
The positive integer divisors of 72 that completely divides 72 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Divisors of 662 :
The positive integer divisors of 662 that completely divides 662 are.
1, 2, 331, 662
GCD of numbers is the greatest common divisor
So, the GCD (308, 164, 72, 662) = 2.
Given numbers are 308, 164, 72, 662
The list of prime factors of all numbers are
Prime factors of 308 are 2 x 2 x 7 x 11
Prime factors of 164 are 2 x 2 x 41
Prime factors of 72 are 2 x 2 x 2 x 3 x 3
Prime factors of 662 are 2 x 331
The highest common occurrence is 21
Therefore, GCD of 308, 164, 72, 662 is 2.
Given numbers are 308, 164, 72, 662
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(308, 164) = 12628
GCD(308, 164) = ( 308 x 164 ) / 12628
= 308 / 164
= 308
Step2:
LCM(4, 72) = 72
GCD(4, 72) = ( 4 x 72 ) / 72
= 4 / 72
= 4
Step3:
LCM(4, 662) = 1324
GCD(4, 662) = ( 4 x 662 ) / 1324
= 4 / 662
= 4
So, Greatest Common Divisor of 308, 164, 72, 662 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 308, 164, 72, 662
The greatest common divisor of numbers 308, 164, 72, 662 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 308, 164, 72, 662 is 2.
1. What is the GCD of 308, 164, 72, 662?
GCD of given numbers 308, 164, 72, 662 is 2
2. How to calculate the greatest common divisor of 308, 164, 72, 662?
We can find the highest common divisor of 308, 164, 72, 662 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 308, 164, 72, 662 i.e 2.
3. How can I use the GCD of 308, 164, 72, 662Calculator?
Out the numbers 308, 164, 72, 662 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.