Online GCD Calculator is useful to find the GCD of 138, 851, 508, 165 quickly. Get the easiest ways to solve the greatest common divisor of 138, 851, 508, 165 i.e 1 in different methods as follows.
Given Input numbers are 138, 851, 508, 165
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 851 :
The positive integer divisors of 851 that completely divides 851 are.
1, 23, 37, 851
Divisors of 508 :
The positive integer divisors of 508 that completely divides 508 are.
1, 2, 4, 127, 254, 508
Divisors of 165 :
The positive integer divisors of 165 that completely divides 165 are.
1, 3, 5, 11, 15, 33, 55, 165
GCD of numbers is the greatest common divisor
So, the GCD (138, 851, 508, 165) = 1.
Given numbers are 138, 851, 508, 165
The list of prime factors of all numbers are
Prime factors of 138 are 2 x 3 x 23
Prime factors of 851 are 23 x 37
Prime factors of 508 are 2 x 2 x 127
Prime factors of 165 are 3 x 5 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 138, 851, 508, 165
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(138, 851) = 5106
GCD(138, 851) = ( 138 x 851 ) / 5106
= 138 / 851
= 138
Step2:
LCM(23, 508) = 11684
GCD(23, 508) = ( 23 x 508 ) / 11684
= 23 / 508
= 23
Step3:
LCM(1, 165) = 165
GCD(1, 165) = ( 1 x 165 ) / 165
= 1 / 165
= 1
So, Greatest Common Divisor of 138, 851, 508, 165 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 138, 851, 508, 165
The greatest common divisor of numbers 138, 851, 508, 165 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 851, 508, 165 is 1.
1. What is the GCD of 138, 851, 508, 165?
GCD of given numbers 138, 851, 508, 165 is 1
2. How to calculate the greatest common divisor of 138, 851, 508, 165?
We can find the highest common divisor of 138, 851, 508, 165 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, 851, 508, 165 i.e 1.
3. How can I use the GCD of 138, 851, 508, 165Calculator?
Out the numbers 138, 851, 508, 165 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.