Online GCD Calculator is useful to find the GCD of 380, 475, 459, 142 quickly. Get the easiest ways to solve the greatest common divisor of 380, 475, 459, 142 i.e 1 in different methods as follows.
Given Input numbers are 380, 475, 459, 142
In the factoring method, we have to find the divisors of all numbers
Divisors of 380 :
The positive integer divisors of 380 that completely divides 380 are.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
Divisors of 475 :
The positive integer divisors of 475 that completely divides 475 are.
1, 5, 19, 25, 95, 475
Divisors of 459 :
The positive integer divisors of 459 that completely divides 459 are.
1, 3, 9, 17, 27, 51, 153, 459
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 (380, 475, 459, 142) = 1.
Given numbers are 380, 475, 459, 142
The list of prime factors of all numbers are
Prime factors of 380 are 2 x 2 x 5 x 19
Prime factors of 475 are 5 x 5 x 19
Prime factors of 459 are 3 x 3 x 3 x 17
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 380, 475, 459, 142
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(380, 475) = 1900
GCD(380, 475) = ( 380 x 475 ) / 1900
= 380 / 475
= 380
Step2:
LCM(95, 459) = 43605
GCD(95, 459) = ( 95 x 459 ) / 43605
= 95 / 459
= 95
Step3:
LCM(1, 142) = 142
GCD(1, 142) = ( 1 x 142 ) / 142
= 1 / 142
= 1
So, Greatest Common Divisor of 380, 475, 459, 142 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 380, 475, 459, 142
The greatest common divisor of numbers 380, 475, 459, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 380, 475, 459, 142 is 1.
1. What is the GCD of 380, 475, 459, 142?
GCD of given numbers 380, 475, 459, 142 is 1
2. How to calculate the greatest common divisor of 380, 475, 459, 142?
We can find the highest common divisor of 380, 475, 459, 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 380, 475, 459, 142 i.e 1.
3. How can I use the GCD of 380, 475, 459, 142Calculator?
Out the numbers 380, 475, 459, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.