Online GCD Calculator is useful to find the GCD of 412, 534, 726, 200 quickly. Get the easiest ways to solve the greatest common divisor of 412, 534, 726, 200 i.e 2 in different methods as follows.
Given Input numbers are 412, 534, 726, 200
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 534 :
The positive integer divisors of 534 that completely divides 534 are.
1, 2, 3, 6, 89, 178, 267, 534
Divisors of 726 :
The positive integer divisors of 726 that completely divides 726 are.
1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
Divisors of 200 :
The positive integer divisors of 200 that completely divides 200 are.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
GCD of numbers is the greatest common divisor
So, the GCD (412, 534, 726, 200) = 2.
Given numbers are 412, 534, 726, 200
The list of prime factors of all numbers are
Prime factors of 412 are 2 x 2 x 103
Prime factors of 534 are 2 x 3 x 89
Prime factors of 726 are 2 x 3 x 11 x 11
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
The highest common occurrence is 21
Therefore, GCD of 412, 534, 726, 200 is 2.
Given numbers are 412, 534, 726, 200
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(412, 534) = 110004
GCD(412, 534) = ( 412 x 534 ) / 110004
= 412 / 534
= 412
Step2:
LCM(2, 726) = 726
GCD(2, 726) = ( 2 x 726 ) / 726
= 2 / 726
= 2
Step3:
LCM(2, 200) = 200
GCD(2, 200) = ( 2 x 200 ) / 200
= 2 / 200
= 2
So, Greatest Common Divisor of 412, 534, 726, 200 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 412, 534, 726, 200
The greatest common divisor of numbers 412, 534, 726, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 412, 534, 726, 200 is 2.
1. What is the GCD of 412, 534, 726, 200?
GCD of given numbers 412, 534, 726, 200 is 2
2. How to calculate the greatest common divisor of 412, 534, 726, 200?
We can find the highest common divisor of 412, 534, 726, 200 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, 534, 726, 200 i.e 2.
3. How can I use the GCD of 412, 534, 726, 200Calculator?
Out the numbers 412, 534, 726, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.