Online GCD Calculator is useful to find the GCD of 308, 972, 332, 884 quickly. Get the easiest ways to solve the greatest common divisor of 308, 972, 332, 884 i.e 4 in different methods as follows.
Given Input numbers are 308, 972, 332, 884
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 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 332 :
The positive integer divisors of 332 that completely divides 332 are.
1, 2, 4, 83, 166, 332
Divisors of 884 :
The positive integer divisors of 884 that completely divides 884 are.
1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
GCD of numbers is the greatest common divisor
So, the GCD (308, 972, 332, 884) = 4.
Given numbers are 308, 972, 332, 884
The list of prime factors of all numbers are
Prime factors of 308 are 2 x 2 x 7 x 11
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 332 are 2 x 2 x 83
Prime factors of 884 are 2 x 2 x 13 x 17
The highest common occurrence is 22
Therefore, GCD of 308, 972, 332, 884 is 4.
Given numbers are 308, 972, 332, 884
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(308, 972) = 74844
GCD(308, 972) = ( 308 x 972 ) / 74844
= 308 / 972
= 308
Step2:
LCM(4, 332) = 332
GCD(4, 332) = ( 4 x 332 ) / 332
= 4 / 332
= 4
Step3:
LCM(4, 884) = 884
GCD(4, 884) = ( 4 x 884 ) / 884
= 4 / 884
= 4
So, Greatest Common Divisor of 308, 972, 332, 884 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 308, 972, 332, 884
The greatest common divisor of numbers 308, 972, 332, 884 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 308, 972, 332, 884 is 4.
1. What is the GCD of 308, 972, 332, 884?
GCD of given numbers 308, 972, 332, 884 is 4
2. How to calculate the greatest common divisor of 308, 972, 332, 884?
We can find the highest common divisor of 308, 972, 332, 884 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, 972, 332, 884 i.e 4.
3. How can I use the GCD of 308, 972, 332, 884Calculator?
Out the numbers 308, 972, 332, 884 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.