Online GCD Calculator is useful to find the GCD of 310, 590, 356, 376 quickly. Get the easiest ways to solve the greatest common divisor of 310, 590, 356, 376 i.e 2 in different methods as follows.
Given Input numbers are 310, 590, 356, 376
In the factoring method, we have to find the divisors of all numbers
Divisors of 310 :
The positive integer divisors of 310 that completely divides 310 are.
1, 2, 5, 10, 31, 62, 155, 310
Divisors of 590 :
The positive integer divisors of 590 that completely divides 590 are.
1, 2, 5, 10, 59, 118, 295, 590
Divisors of 356 :
The positive integer divisors of 356 that completely divides 356 are.
1, 2, 4, 89, 178, 356
Divisors of 376 :
The positive integer divisors of 376 that completely divides 376 are.
1, 2, 4, 8, 47, 94, 188, 376
GCD of numbers is the greatest common divisor
So, the GCD (310, 590, 356, 376) = 2.
Given numbers are 310, 590, 356, 376
The list of prime factors of all numbers are
Prime factors of 310 are 2 x 5 x 31
Prime factors of 590 are 2 x 5 x 59
Prime factors of 356 are 2 x 2 x 89
Prime factors of 376 are 2 x 2 x 2 x 47
The highest common occurrence is 21
Therefore, GCD of 310, 590, 356, 376 is 2.
Given numbers are 310, 590, 356, 376
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(310, 590) = 18290
GCD(310, 590) = ( 310 x 590 ) / 18290
= 310 / 590
= 310
Step2:
LCM(10, 356) = 1780
GCD(10, 356) = ( 10 x 356 ) / 1780
= 10 / 356
= 10
Step3:
LCM(2, 376) = 376
GCD(2, 376) = ( 2 x 376 ) / 376
= 2 / 376
= 2
So, Greatest Common Divisor of 310, 590, 356, 376 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 310, 590, 356, 376
The greatest common divisor of numbers 310, 590, 356, 376 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 310, 590, 356, 376 is 2.
1. What is the GCD of 310, 590, 356, 376?
GCD of given numbers 310, 590, 356, 376 is 2
2. How to calculate the greatest common divisor of 310, 590, 356, 376?
We can find the highest common divisor of 310, 590, 356, 376 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 310, 590, 356, 376 i.e 2.
3. How can I use the GCD of 310, 590, 356, 376Calculator?
Out the numbers 310, 590, 356, 376 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.