Online GCD Calculator is useful to find the GCD of 237, 609, 438, 726 quickly. Get the easiest ways to solve the greatest common divisor of 237, 609, 438, 726 i.e 3 in different methods as follows.
Given Input numbers are 237, 609, 438, 726
In the factoring method, we have to find the divisors of all numbers
Divisors of 237 :
The positive integer divisors of 237 that completely divides 237 are.
1, 3, 79, 237
Divisors of 609 :
The positive integer divisors of 609 that completely divides 609 are.
1, 3, 7, 21, 29, 87, 203, 609
Divisors of 438 :
The positive integer divisors of 438 that completely divides 438 are.
1, 2, 3, 6, 73, 146, 219, 438
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
GCD of numbers is the greatest common divisor
So, the GCD (237, 609, 438, 726) = 3.
Given numbers are 237, 609, 438, 726
The list of prime factors of all numbers are
Prime factors of 237 are 3 x 79
Prime factors of 609 are 3 x 7 x 29
Prime factors of 438 are 2 x 3 x 73
Prime factors of 726 are 2 x 3 x 11 x 11
The highest common occurrence is 31
Therefore, GCD of 237, 609, 438, 726 is 3.
Given numbers are 237, 609, 438, 726
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(237, 609) = 48111
GCD(237, 609) = ( 237 x 609 ) / 48111
= 237 / 609
= 237
Step2:
LCM(3, 438) = 438
GCD(3, 438) = ( 3 x 438 ) / 438
= 3 / 438
= 3
Step3:
LCM(3, 726) = 726
GCD(3, 726) = ( 3 x 726 ) / 726
= 3 / 726
= 3
So, Greatest Common Divisor of 237, 609, 438, 726 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 237, 609, 438, 726
The greatest common divisor of numbers 237, 609, 438, 726 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 237, 609, 438, 726 is 3.
1. What is the GCD of 237, 609, 438, 726?
GCD of given numbers 237, 609, 438, 726 is 3
2. How to calculate the greatest common divisor of 237, 609, 438, 726?
We can find the highest common divisor of 237, 609, 438, 726 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 237, 609, 438, 726 i.e 3.
3. How can I use the GCD of 237, 609, 438, 726Calculator?
Out the numbers 237, 609, 438, 726 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.