Online GCD Calculator is useful to find the GCD of 138, 228, 509, 987 quickly. Get the easiest ways to solve the greatest common divisor of 138, 228, 509, 987 i.e 1 in different methods as follows.
Given Input numbers are 138, 228, 509, 987
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 228 :
The positive integer divisors of 228 that completely divides 228 are.
1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
Divisors of 509 :
The positive integer divisors of 509 that completely divides 509 are.
1, 509
Divisors of 987 :
The positive integer divisors of 987 that completely divides 987 are.
1, 3, 7, 21, 47, 141, 329, 987
GCD of numbers is the greatest common divisor
So, the GCD (138, 228, 509, 987) = 1.
Given numbers are 138, 228, 509, 987
The list of prime factors of all numbers are
Prime factors of 138 are 2 x 3 x 23
Prime factors of 228 are 2 x 2 x 3 x 19
Prime factors of 509 are 509
Prime factors of 987 are 3 x 7 x 47
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 138, 228, 509, 987
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(138, 228) = 5244
GCD(138, 228) = ( 138 x 228 ) / 5244
= 138 / 228
= 138
Step2:
LCM(6, 509) = 3054
GCD(6, 509) = ( 6 x 509 ) / 3054
= 6 / 509
= 6
Step3:
LCM(1, 987) = 987
GCD(1, 987) = ( 1 x 987 ) / 987
= 1 / 987
= 1
So, Greatest Common Divisor of 138, 228, 509, 987 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 138, 228, 509, 987
The greatest common divisor of numbers 138, 228, 509, 987 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 228, 509, 987 is 1.
1. What is the GCD of 138, 228, 509, 987?
GCD of given numbers 138, 228, 509, 987 is 1
2. How to calculate the greatest common divisor of 138, 228, 509, 987?
We can find the highest common divisor of 138, 228, 509, 987 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, 228, 509, 987 i.e 1.
3. How can I use the GCD of 138, 228, 509, 987Calculator?
Out the numbers 138, 228, 509, 987 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.