Online GCD Calculator is useful to find the GCD of 572, 134, 312 quickly. Get the easiest ways to solve the greatest common divisor of 572, 134, 312 i.e 2 in different methods as follows.
Given Input numbers are 572, 134, 312
In the factoring method, we have to find the divisors of all numbers
Divisors of 572 :
The positive integer divisors of 572 that completely divides 572 are.
1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
Divisors of 134 :
The positive integer divisors of 134 that completely divides 134 are.
1, 2, 67, 134
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
GCD of numbers is the greatest common divisor
So, the GCD (572, 134, 312) = 2.
Given numbers are 572, 134, 312
The list of prime factors of all numbers are
Prime factors of 572 are 2 x 2 x 11 x 13
Prime factors of 134 are 2 x 67
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
The highest common occurrence is 21
Therefore, GCD of 572, 134, 312 is 2.
Given numbers are 572, 134, 312
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(572, 134) = 38324
GCD(572, 134) = ( 572 x 134 ) / 38324
= 572 / 134
= 572
Step2:
LCM(2, 312) = 312
GCD(2, 312) = ( 2 x 312 ) / 312
= 2 / 312
= 2
So, Greatest Common Divisor of 572, 134, 312 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 572, 134, 312
The greatest common divisor of numbers 572, 134, 312 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 572, 134, 312 is 2.
1. What is the GCD of 572, 134, 312?
GCD of given numbers 572, 134, 312 is 2
2. How to calculate the greatest common divisor of 572, 134, 312?
We can find the highest common divisor of 572, 134, 312 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 572, 134, 312 i.e 2.
3. How can I use the GCD of 572, 134, 312Calculator?
Out the numbers 572, 134, 312 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.