Online GCD Calculator is useful to find the GCD of 375, 138, 286, 204 quickly. Get the easiest ways to solve the greatest common divisor of 375, 138, 286, 204 i.e 1 in different methods as follows.
Given Input numbers are 375, 138, 286, 204
In the factoring method, we have to find the divisors of all numbers
Divisors of 375 :
The positive integer divisors of 375 that completely divides 375 are.
1, 3, 5, 15, 25, 75, 125, 375
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 286 :
The positive integer divisors of 286 that completely divides 286 are.
1, 2, 11, 13, 22, 26, 143, 286
Divisors of 204 :
The positive integer divisors of 204 that completely divides 204 are.
1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
GCD of numbers is the greatest common divisor
So, the GCD (375, 138, 286, 204) = 1.
Given numbers are 375, 138, 286, 204
The list of prime factors of all numbers are
Prime factors of 375 are 3 x 5 x 5 x 5
Prime factors of 138 are 2 x 3 x 23
Prime factors of 286 are 2 x 11 x 13
Prime factors of 204 are 2 x 2 x 3 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 375, 138, 286, 204
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(375, 138) = 17250
GCD(375, 138) = ( 375 x 138 ) / 17250
= 375 / 138
= 375
Step2:
LCM(3, 286) = 858
GCD(3, 286) = ( 3 x 286 ) / 858
= 3 / 286
= 3
Step3:
LCM(1, 204) = 204
GCD(1, 204) = ( 1 x 204 ) / 204
= 1 / 204
= 1
So, Greatest Common Divisor of 375, 138, 286, 204 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 375, 138, 286, 204
The greatest common divisor of numbers 375, 138, 286, 204 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 375, 138, 286, 204 is 1.
1. What is the GCD of 375, 138, 286, 204?
GCD of given numbers 375, 138, 286, 204 is 1
2. How to calculate the greatest common divisor of 375, 138, 286, 204?
We can find the highest common divisor of 375, 138, 286, 204 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 375, 138, 286, 204 i.e 1.
3. How can I use the GCD of 375, 138, 286, 204Calculator?
Out the numbers 375, 138, 286, 204 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.