Online GCD Calculator is useful to find the GCD of 438, 288, 722, 786 quickly. Get the easiest ways to solve the greatest common divisor of 438, 288, 722, 786 i.e 2 in different methods as follows.
Given Input numbers are 438, 288, 722, 786
In the factoring method, we have to find the divisors of all numbers
Divisors of 438 :
The positive integer divisors of 438 that completely divides 438 are.
1, 2, 3, 6, 73, 146, 219, 438
Divisors of 288 :
The positive integer divisors of 288 that completely divides 288 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
Divisors of 722 :
The positive integer divisors of 722 that completely divides 722 are.
1, 2, 19, 38, 361, 722
Divisors of 786 :
The positive integer divisors of 786 that completely divides 786 are.
1, 2, 3, 6, 131, 262, 393, 786
GCD of numbers is the greatest common divisor
So, the GCD (438, 288, 722, 786) = 2.
Given numbers are 438, 288, 722, 786
The list of prime factors of all numbers are
Prime factors of 438 are 2 x 3 x 73
Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 722 are 2 x 19 x 19
Prime factors of 786 are 2 x 3 x 131
The highest common occurrence is 21
Therefore, GCD of 438, 288, 722, 786 is 2.
Given numbers are 438, 288, 722, 786
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(438, 288) = 21024
GCD(438, 288) = ( 438 x 288 ) / 21024
= 438 / 288
= 438
Step2:
LCM(6, 722) = 2166
GCD(6, 722) = ( 6 x 722 ) / 2166
= 6 / 722
= 6
Step3:
LCM(2, 786) = 786
GCD(2, 786) = ( 2 x 786 ) / 786
= 2 / 786
= 2
So, Greatest Common Divisor of 438, 288, 722, 786 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 438, 288, 722, 786
The greatest common divisor of numbers 438, 288, 722, 786 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 438, 288, 722, 786 is 2.
1. What is the GCD of 438, 288, 722, 786?
GCD of given numbers 438, 288, 722, 786 is 2
2. How to calculate the greatest common divisor of 438, 288, 722, 786?
We can find the highest common divisor of 438, 288, 722, 786 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 438, 288, 722, 786 i.e 2.
3. How can I use the GCD of 438, 288, 722, 786Calculator?
Out the numbers 438, 288, 722, 786 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.