Online GCD Calculator is useful to find the GCD of 326, 976, 310, 428 quickly. Get the easiest ways to solve the greatest common divisor of 326, 976, 310, 428 i.e 2 in different methods as follows.
Given Input numbers are 326, 976, 310, 428
In the factoring method, we have to find the divisors of all numbers
Divisors of 326 :
The positive integer divisors of 326 that completely divides 326 are.
1, 2, 163, 326
Divisors of 976 :
The positive integer divisors of 976 that completely divides 976 are.
1, 2, 4, 8, 16, 61, 122, 244, 488, 976
Divisors of 310 :
The positive integer divisors of 310 that completely divides 310 are.
1, 2, 5, 10, 31, 62, 155, 310
Divisors of 428 :
The positive integer divisors of 428 that completely divides 428 are.
1, 2, 4, 107, 214, 428
GCD of numbers is the greatest common divisor
So, the GCD (326, 976, 310, 428) = 2.
Given numbers are 326, 976, 310, 428
The list of prime factors of all numbers are
Prime factors of 326 are 2 x 163
Prime factors of 976 are 2 x 2 x 2 x 2 x 61
Prime factors of 310 are 2 x 5 x 31
Prime factors of 428 are 2 x 2 x 107
The highest common occurrence is 21
Therefore, GCD of 326, 976, 310, 428 is 2.
Given numbers are 326, 976, 310, 428
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(326, 976) = 159088
GCD(326, 976) = ( 326 x 976 ) / 159088
= 326 / 976
= 326
Step2:
LCM(2, 310) = 310
GCD(2, 310) = ( 2 x 310 ) / 310
= 2 / 310
= 2
Step3:
LCM(2, 428) = 428
GCD(2, 428) = ( 2 x 428 ) / 428
= 2 / 428
= 2
So, Greatest Common Divisor of 326, 976, 310, 428 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 326, 976, 310, 428
The greatest common divisor of numbers 326, 976, 310, 428 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 326, 976, 310, 428 is 2.
1. What is the GCD of 326, 976, 310, 428?
GCD of given numbers 326, 976, 310, 428 is 2
2. How to calculate the greatest common divisor of 326, 976, 310, 428?
We can find the highest common divisor of 326, 976, 310, 428 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 326, 976, 310, 428 i.e 2.
3. How can I use the GCD of 326, 976, 310, 428Calculator?
Out the numbers 326, 976, 310, 428 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.