Online GCD Calculator is useful to find the GCD of 268, 738, 438 quickly. Get the easiest ways to solve the greatest common divisor of 268, 738, 438 i.e 2 in different methods as follows.
Given Input numbers are 268, 738, 438
In the factoring method, we have to find the divisors of all numbers
Divisors of 268 :
The positive integer divisors of 268 that completely divides 268 are.
1, 2, 4, 67, 134, 268
Divisors of 738 :
The positive integer divisors of 738 that completely divides 738 are.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
Divisors of 438 :
The positive integer divisors of 438 that completely divides 438 are.
1, 2, 3, 6, 73, 146, 219, 438
GCD of numbers is the greatest common divisor
So, the GCD (268, 738, 438) = 2.
Given numbers are 268, 738, 438
The list of prime factors of all numbers are
Prime factors of 268 are 2 x 2 x 67
Prime factors of 738 are 2 x 3 x 3 x 41
Prime factors of 438 are 2 x 3 x 73
The highest common occurrence is 21
Therefore, GCD of 268, 738, 438 is 2.
Given numbers are 268, 738, 438
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(268, 738) = 98892
GCD(268, 738) = ( 268 x 738 ) / 98892
= 268 / 738
= 268
Step2:
LCM(2, 438) = 438
GCD(2, 438) = ( 2 x 438 ) / 438
= 2 / 438
= 2
So, Greatest Common Divisor of 268, 738, 438 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 268, 738, 438
The greatest common divisor of numbers 268, 738, 438 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 268, 738, 438 is 2.
1. What is the GCD of 268, 738, 438?
GCD of given numbers 268, 738, 438 is 2
2. How to calculate the greatest common divisor of 268, 738, 438?
We can find the highest common divisor of 268, 738, 438 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 268, 738, 438 i.e 2.
3. How can I use the GCD of 268, 738, 438Calculator?
Out the numbers 268, 738, 438 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.