Online GCD Calculator is useful to find the GCD of 315, 850, 142, 405 quickly. Get the easiest ways to solve the greatest common divisor of 315, 850, 142, 405 i.e 1 in different methods as follows.
Given Input numbers are 315, 850, 142, 405
In the factoring method, we have to find the divisors of all numbers
Divisors of 315 :
The positive integer divisors of 315 that completely divides 315 are.
1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
Divisors of 850 :
The positive integer divisors of 850 that completely divides 850 are.
1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
Divisors of 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
Divisors of 405 :
The positive integer divisors of 405 that completely divides 405 are.
1, 3, 5, 9, 15, 27, 45, 81, 135, 405
GCD of numbers is the greatest common divisor
So, the GCD (315, 850, 142, 405) = 1.
Given numbers are 315, 850, 142, 405
The list of prime factors of all numbers are
Prime factors of 315 are 3 x 3 x 5 x 7
Prime factors of 850 are 2 x 5 x 5 x 17
Prime factors of 142 are 2 x 71
Prime factors of 405 are 3 x 3 x 3 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 315, 850, 142, 405
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(315, 850) = 53550
GCD(315, 850) = ( 315 x 850 ) / 53550
= 315 / 850
= 315
Step2:
LCM(5, 142) = 710
GCD(5, 142) = ( 5 x 142 ) / 710
= 5 / 142
= 5
Step3:
LCM(1, 405) = 405
GCD(1, 405) = ( 1 x 405 ) / 405
= 1 / 405
= 1
So, Greatest Common Divisor of 315, 850, 142, 405 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 315, 850, 142, 405
The greatest common divisor of numbers 315, 850, 142, 405 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 315, 850, 142, 405 is 1.
1. What is the GCD of 315, 850, 142, 405?
GCD of given numbers 315, 850, 142, 405 is 1
2. How to calculate the greatest common divisor of 315, 850, 142, 405?
We can find the highest common divisor of 315, 850, 142, 405 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 315, 850, 142, 405 i.e 1.
3. How can I use the GCD of 315, 850, 142, 405Calculator?
Out the numbers 315, 850, 142, 405 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.