Online GCD Calculator is useful to find the GCD of 308, 446, 972, 288 quickly. Get the easiest ways to solve the greatest common divisor of 308, 446, 972, 288 i.e 2 in different methods as follows.
Given Input numbers are 308, 446, 972, 288
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 446 :
The positive integer divisors of 446 that completely divides 446 are.
1, 2, 223, 446
Divisors of 972 :
The positive integer divisors of 972 that completely divides 972 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
Divisors of 288 :
The positive integer divisors of 288 that completely divides 288 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
GCD of numbers is the greatest common divisor
So, the GCD (308, 446, 972, 288) = 2.
Given numbers are 308, 446, 972, 288
The list of prime factors of all numbers are
Prime factors of 308 are 2 x 2 x 7 x 11
Prime factors of 446 are 2 x 223
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3
The highest common occurrence is 21
Therefore, GCD of 308, 446, 972, 288 is 2.
Given numbers are 308, 446, 972, 288
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(308, 446) = 68684
GCD(308, 446) = ( 308 x 446 ) / 68684
= 308 / 446
= 308
Step2:
LCM(2, 972) = 972
GCD(2, 972) = ( 2 x 972 ) / 972
= 2 / 972
= 2
Step3:
LCM(2, 288) = 288
GCD(2, 288) = ( 2 x 288 ) / 288
= 2 / 288
= 2
So, Greatest Common Divisor of 308, 446, 972, 288 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 308, 446, 972, 288
The greatest common divisor of numbers 308, 446, 972, 288 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 308, 446, 972, 288 is 2.
1. What is the GCD of 308, 446, 972, 288?
GCD of given numbers 308, 446, 972, 288 is 2
2. How to calculate the greatest common divisor of 308, 446, 972, 288?
We can find the highest common divisor of 308, 446, 972, 288 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, 446, 972, 288 i.e 2.
3. How can I use the GCD of 308, 446, 972, 288Calculator?
Out the numbers 308, 446, 972, 288 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.