Online GCD Calculator is useful to find the GCD of 312, 422, 132, 400 quickly. Get the easiest ways to solve the greatest common divisor of 312, 422, 132, 400 i.e 2 in different methods as follows.
Given Input numbers are 312, 422, 132, 400
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 422 :
The positive integer divisors of 422 that completely divides 422 are.
1, 2, 211, 422
Divisors of 132 :
The positive integer divisors of 132 that completely divides 132 are.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
Divisors of 400 :
The positive integer divisors of 400 that completely divides 400 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
GCD of numbers is the greatest common divisor
So, the GCD (312, 422, 132, 400) = 2.
Given numbers are 312, 422, 132, 400
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 422 are 2 x 211
Prime factors of 132 are 2 x 2 x 3 x 11
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
The highest common occurrence is 21
Therefore, GCD of 312, 422, 132, 400 is 2.
Given numbers are 312, 422, 132, 400
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(312, 422) = 65832
GCD(312, 422) = ( 312 x 422 ) / 65832
= 312 / 422
= 312
Step2:
LCM(2, 132) = 132
GCD(2, 132) = ( 2 x 132 ) / 132
= 2 / 132
= 2
Step3:
LCM(2, 400) = 400
GCD(2, 400) = ( 2 x 400 ) / 400
= 2 / 400
= 2
So, Greatest Common Divisor of 312, 422, 132, 400 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 312, 422, 132, 400
The greatest common divisor of numbers 312, 422, 132, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 312, 422, 132, 400 is 2.
1. What is the GCD of 312, 422, 132, 400?
GCD of given numbers 312, 422, 132, 400 is 2
2. How to calculate the greatest common divisor of 312, 422, 132, 400?
We can find the highest common divisor of 312, 422, 132, 400 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, 422, 132, 400 i.e 2.
3. How can I use the GCD of 312, 422, 132, 400Calculator?
Out the numbers 312, 422, 132, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.