Online GCD Calculator is useful to find the GCD of 138, 291, 468, 855 quickly. Get the easiest ways to solve the greatest common divisor of 138, 291, 468, 855 i.e 3 in different methods as follows.
Given Input numbers are 138, 291, 468, 855
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 291 :
The positive integer divisors of 291 that completely divides 291 are.
1, 3, 97, 291
Divisors of 468 :
The positive integer divisors of 468 that completely divides 468 are.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
Divisors of 855 :
The positive integer divisors of 855 that completely divides 855 are.
1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
GCD of numbers is the greatest common divisor
So, the GCD (138, 291, 468, 855) = 3.
Given numbers are 138, 291, 468, 855
The list of prime factors of all numbers are
Prime factors of 138 are 2 x 3 x 23
Prime factors of 291 are 3 x 97
Prime factors of 468 are 2 x 2 x 3 x 3 x 13
Prime factors of 855 are 3 x 3 x 5 x 19
The highest common occurrence is 31
Therefore, GCD of 138, 291, 468, 855 is 3.
Given numbers are 138, 291, 468, 855
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(138, 291) = 13386
GCD(138, 291) = ( 138 x 291 ) / 13386
= 138 / 291
= 138
Step2:
LCM(3, 468) = 468
GCD(3, 468) = ( 3 x 468 ) / 468
= 3 / 468
= 3
Step3:
LCM(3, 855) = 855
GCD(3, 855) = ( 3 x 855 ) / 855
= 3 / 855
= 3
So, Greatest Common Divisor of 138, 291, 468, 855 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 138, 291, 468, 855
The greatest common divisor of numbers 138, 291, 468, 855 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 291, 468, 855 is 3.
1. What is the GCD of 138, 291, 468, 855?
GCD of given numbers 138, 291, 468, 855 is 3
2. How to calculate the greatest common divisor of 138, 291, 468, 855?
We can find the highest common divisor of 138, 291, 468, 855 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, 291, 468, 855 i.e 3.
3. How can I use the GCD of 138, 291, 468, 855Calculator?
Out the numbers 138, 291, 468, 855 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.