Online GCD Calculator is useful to find the GCD of 312, 452, 526, 820 quickly. Get the easiest ways to solve the greatest common divisor of 312, 452, 526, 820 i.e 2 in different methods as follows.
Given Input numbers are 312, 452, 526, 820
In the factoring method, we have to find the divisors of all numbers
Divisors of 312 :
The positive integer divisors of 312 that completely divides 312 are.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
Divisors of 452 :
The positive integer divisors of 452 that completely divides 452 are.
1, 2, 4, 113, 226, 452
Divisors of 526 :
The positive integer divisors of 526 that completely divides 526 are.
1, 2, 263, 526
Divisors of 820 :
The positive integer divisors of 820 that completely divides 820 are.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
GCD of numbers is the greatest common divisor
So, the GCD (312, 452, 526, 820) = 2.
Given numbers are 312, 452, 526, 820
The list of prime factors of all numbers are
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
Prime factors of 452 are 2 x 2 x 113
Prime factors of 526 are 2 x 263
Prime factors of 820 are 2 x 2 x 5 x 41
The highest common occurrence is 21
Therefore, GCD of 312, 452, 526, 820 is 2.
Given numbers are 312, 452, 526, 820
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(312, 452) = 35256
GCD(312, 452) = ( 312 x 452 ) / 35256
= 312 / 452
= 312
Step2:
LCM(4, 526) = 1052
GCD(4, 526) = ( 4 x 526 ) / 1052
= 4 / 526
= 4
Step3:
LCM(2, 820) = 820
GCD(2, 820) = ( 2 x 820 ) / 820
= 2 / 820
= 2
So, Greatest Common Divisor of 312, 452, 526, 820 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 312, 452, 526, 820
The greatest common divisor of numbers 312, 452, 526, 820 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 312, 452, 526, 820 is 2.
1. What is the GCD of 312, 452, 526, 820?
GCD of given numbers 312, 452, 526, 820 is 2
2. How to calculate the greatest common divisor of 312, 452, 526, 820?
We can find the highest common divisor of 312, 452, 526, 820 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 312, 452, 526, 820 i.e 2.
3. How can I use the GCD of 312, 452, 526, 820Calculator?
Out the numbers 312, 452, 526, 820 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.