Online GCD Calculator is useful to find the GCD of 600, 194, 195, 142 quickly. Get the easiest ways to solve the greatest common divisor of 600, 194, 195, 142 i.e 1 in different methods as follows.
Given Input numbers are 600, 194, 195, 142
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 194 :
The positive integer divisors of 194 that completely divides 194 are.
1, 2, 97, 194
Divisors of 195 :
The positive integer divisors of 195 that completely divides 195 are.
1, 3, 5, 13, 15, 39, 65, 195
Divisors of 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
GCD of numbers is the greatest common divisor
So, the GCD (600, 194, 195, 142) = 1.
Given numbers are 600, 194, 195, 142
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 194 are 2 x 97
Prime factors of 195 are 3 x 5 x 13
Prime factors of 142 are 2 x 71
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 600, 194, 195, 142
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(600, 194) = 58200
GCD(600, 194) = ( 600 x 194 ) / 58200
= 600 / 194
= 600
Step2:
LCM(2, 195) = 390
GCD(2, 195) = ( 2 x 195 ) / 390
= 2 / 195
= 2
Step3:
LCM(1, 142) = 142
GCD(1, 142) = ( 1 x 142 ) / 142
= 1 / 142
= 1
So, Greatest Common Divisor of 600, 194, 195, 142 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 600, 194, 195, 142
The greatest common divisor of numbers 600, 194, 195, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 600, 194, 195, 142 is 1.
1. What is the GCD of 600, 194, 195, 142?
GCD of given numbers 600, 194, 195, 142 is 1
2. How to calculate the greatest common divisor of 600, 194, 195, 142?
We can find the highest common divisor of 600, 194, 195, 142 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, 194, 195, 142 i.e 1.
3. How can I use the GCD of 600, 194, 195, 142Calculator?
Out the numbers 600, 194, 195, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.