Online GCD Calculator is useful to find the GCD of 138, 804, 237 quickly. Get the easiest ways to solve the greatest common divisor of 138, 804, 237 i.e 3 in different methods as follows.
Given Input numbers are 138, 804, 237
In the factoring method, we have to find the divisors of all numbers
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 804 :
The positive integer divisors of 804 that completely divides 804 are.
1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
Divisors of 237 :
The positive integer divisors of 237 that completely divides 237 are.
1, 3, 79, 237
GCD of numbers is the greatest common divisor
So, the GCD (138, 804, 237) = 3.
Given numbers are 138, 804, 237
The list of prime factors of all numbers are
Prime factors of 138 are 2 x 3 x 23
Prime factors of 804 are 2 x 2 x 3 x 67
Prime factors of 237 are 3 x 79
The highest common occurrence is 31
Therefore, GCD of 138, 804, 237 is 3.
Given numbers are 138, 804, 237
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(138, 804) = 18492
GCD(138, 804) = ( 138 x 804 ) / 18492
= 138 / 804
= 138
Step2:
LCM(6, 237) = 474
GCD(6, 237) = ( 6 x 237 ) / 474
= 6 / 237
= 6
So, Greatest Common Divisor of 138, 804, 237 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 138, 804, 237
The greatest common divisor of numbers 138, 804, 237 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 804, 237 is 3.
1. What is the GCD of 138, 804, 237?
GCD of given numbers 138, 804, 237 is 3
2. How to calculate the greatest common divisor of 138, 804, 237?
We can find the highest common divisor of 138, 804, 237 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 138, 804, 237 i.e 3.
3. How can I use the GCD of 138, 804, 237Calculator?
Out the numbers 138, 804, 237 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.