Online GCD Calculator is useful to find the GCD of 138, 299, 875, 569 quickly. Get the easiest ways to solve the greatest common divisor of 138, 299, 875, 569 i.e 1 in different methods as follows.
Given Input numbers are 138, 299, 875, 569
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 299 :
The positive integer divisors of 299 that completely divides 299 are.
1, 13, 23, 299
Divisors of 875 :
The positive integer divisors of 875 that completely divides 875 are.
1, 5, 7, 25, 35, 125, 175, 875
Divisors of 569 :
The positive integer divisors of 569 that completely divides 569 are.
1, 569
GCD of numbers is the greatest common divisor
So, the GCD (138, 299, 875, 569) = 1.
Given numbers are 138, 299, 875, 569
The list of prime factors of all numbers are
Prime factors of 138 are 2 x 3 x 23
Prime factors of 299 are 13 x 23
Prime factors of 875 are 5 x 5 x 5 x 7
Prime factors of 569 are 569
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 138, 299, 875, 569
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(138, 299) = 1794
GCD(138, 299) = ( 138 x 299 ) / 1794
= 138 / 299
= 138
Step2:
LCM(23, 875) = 20125
GCD(23, 875) = ( 23 x 875 ) / 20125
= 23 / 875
= 23
Step3:
LCM(1, 569) = 569
GCD(1, 569) = ( 1 x 569 ) / 569
= 1 / 569
= 1
So, Greatest Common Divisor of 138, 299, 875, 569 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 138, 299, 875, 569
The greatest common divisor of numbers 138, 299, 875, 569 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 299, 875, 569 is 1.
1. What is the GCD of 138, 299, 875, 569?
GCD of given numbers 138, 299, 875, 569 is 1
2. How to calculate the greatest common divisor of 138, 299, 875, 569?
We can find the highest common divisor of 138, 299, 875, 569 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, 299, 875, 569 i.e 1.
3. How can I use the GCD of 138, 299, 875, 569Calculator?
Out the numbers 138, 299, 875, 569 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.