Online GCD Calculator is useful to find the GCD of 316, 822, 290, 648 quickly. Get the easiest ways to solve the greatest common divisor of 316, 822, 290, 648 i.e 2 in different methods as follows.
Given Input numbers are 316, 822, 290, 648
In the factoring method, we have to find the divisors of all numbers
Divisors of 316 :
The positive integer divisors of 316 that completely divides 316 are.
1, 2, 4, 79, 158, 316
Divisors of 822 :
The positive integer divisors of 822 that completely divides 822 are.
1, 2, 3, 6, 137, 274, 411, 822
Divisors of 290 :
The positive integer divisors of 290 that completely divides 290 are.
1, 2, 5, 10, 29, 58, 145, 290
Divisors of 648 :
The positive integer divisors of 648 that completely divides 648 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
GCD of numbers is the greatest common divisor
So, the GCD (316, 822, 290, 648) = 2.
Given numbers are 316, 822, 290, 648
The list of prime factors of all numbers are
Prime factors of 316 are 2 x 2 x 79
Prime factors of 822 are 2 x 3 x 137
Prime factors of 290 are 2 x 5 x 29
Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3
The highest common occurrence is 21
Therefore, GCD of 316, 822, 290, 648 is 2.
Given numbers are 316, 822, 290, 648
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(316, 822) = 129876
GCD(316, 822) = ( 316 x 822 ) / 129876
= 316 / 822
= 316
Step2:
LCM(2, 290) = 290
GCD(2, 290) = ( 2 x 290 ) / 290
= 2 / 290
= 2
Step3:
LCM(2, 648) = 648
GCD(2, 648) = ( 2 x 648 ) / 648
= 2 / 648
= 2
So, Greatest Common Divisor of 316, 822, 290, 648 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 316, 822, 290, 648
The greatest common divisor of numbers 316, 822, 290, 648 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 316, 822, 290, 648 is 2.
1. What is the GCD of 316, 822, 290, 648?
GCD of given numbers 316, 822, 290, 648 is 2
2. How to calculate the greatest common divisor of 316, 822, 290, 648?
We can find the highest common divisor of 316, 822, 290, 648 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 316, 822, 290, 648 i.e 2.
3. How can I use the GCD of 316, 822, 290, 648Calculator?
Out the numbers 316, 822, 290, 648 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.