Online GCD Calculator is useful to find the GCD of 600, 345, 142, 185 quickly. Get the easiest ways to solve the greatest common divisor of 600, 345, 142, 185 i.e 1 in different methods as follows.
Given Input numbers are 600, 345, 142, 185
In the factoring method, we have to find the divisors of all numbers
Divisors of 600 :
The positive integer divisors of 600 that completely divides 600 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Divisors of 345 :
The positive integer divisors of 345 that completely divides 345 are.
1, 3, 5, 15, 23, 69, 115, 345
Divisors of 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
Divisors of 185 :
The positive integer divisors of 185 that completely divides 185 are.
1, 5, 37, 185
GCD of numbers is the greatest common divisor
So, the GCD (600, 345, 142, 185) = 1.
Given numbers are 600, 345, 142, 185
The list of prime factors of all numbers are
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
Prime factors of 345 are 3 x 5 x 23
Prime factors of 142 are 2 x 71
Prime factors of 185 are 5 x 37
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 600, 345, 142, 185
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(600, 345) = 13800
GCD(600, 345) = ( 600 x 345 ) / 13800
= 600 / 345
= 600
Step2:
LCM(15, 142) = 2130
GCD(15, 142) = ( 15 x 142 ) / 2130
= 15 / 142
= 15
Step3:
LCM(1, 185) = 185
GCD(1, 185) = ( 1 x 185 ) / 185
= 1 / 185
= 1
So, Greatest Common Divisor of 600, 345, 142, 185 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 600, 345, 142, 185
The greatest common divisor of numbers 600, 345, 142, 185 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 600, 345, 142, 185 is 1.
1. What is the GCD of 600, 345, 142, 185?
GCD of given numbers 600, 345, 142, 185 is 1
2. How to calculate the greatest common divisor of 600, 345, 142, 185?
We can find the highest common divisor of 600, 345, 142, 185 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 600, 345, 142, 185 i.e 1.
3. How can I use the GCD of 600, 345, 142, 185Calculator?
Out the numbers 600, 345, 142, 185 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.