Online GCD Calculator is useful to find the GCD of 412, 600, 712 quickly. Get the easiest ways to solve the greatest common divisor of 412, 600, 712 i.e 4 in different methods as follows.
Given Input numbers are 412, 600, 712
In the factoring method, we have to find the divisors of all numbers
Divisors of 412 :
The positive integer divisors of 412 that completely divides 412 are.
1, 2, 4, 103, 206, 412
Divisors of 600 :
The positive integer divisors of 600 that completely divides 600 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Divisors of 712 :
The positive integer divisors of 712 that completely divides 712 are.
1, 2, 4, 8, 89, 178, 356, 712
GCD of numbers is the greatest common divisor
So, the GCD (412, 600, 712) = 4.
Given numbers are 412, 600, 712
The list of prime factors of all numbers are
Prime factors of 412 are 2 x 2 x 103
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
Prime factors of 712 are 2 x 2 x 2 x 89
The highest common occurrence is 22
Therefore, GCD of 412, 600, 712 is 4.
Given numbers are 412, 600, 712
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(412, 600) = 61800
GCD(412, 600) = ( 412 x 600 ) / 61800
= 412 / 600
= 412
Step2:
LCM(4, 712) = 712
GCD(4, 712) = ( 4 x 712 ) / 712
= 4 / 712
= 4
So, Greatest Common Divisor of 412, 600, 712 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 412, 600, 712
The greatest common divisor of numbers 412, 600, 712 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 412, 600, 712 is 4.
1. What is the GCD of 412, 600, 712?
GCD of given numbers 412, 600, 712 is 4
2. How to calculate the greatest common divisor of 412, 600, 712?
We can find the highest common divisor of 412, 600, 712 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 412, 600, 712 i.e 4.
3. How can I use the GCD of 412, 600, 712Calculator?
Out the numbers 412, 600, 712 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.