Online GCD Calculator is useful to find the GCD of 285, 420, 318, 437 quickly. Get the easiest ways to solve the greatest common divisor of 285, 420, 318, 437 i.e 1 in different methods as follows.
Given Input numbers are 285, 420, 318, 437
In the factoring method, we have to find the divisors of all numbers
Divisors of 285 :
The positive integer divisors of 285 that completely divides 285 are.
1, 3, 5, 15, 19, 57, 95, 285
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 318 :
The positive integer divisors of 318 that completely divides 318 are.
1, 2, 3, 6, 53, 106, 159, 318
Divisors of 437 :
The positive integer divisors of 437 that completely divides 437 are.
1, 19, 23, 437
GCD of numbers is the greatest common divisor
So, the GCD (285, 420, 318, 437) = 1.
Given numbers are 285, 420, 318, 437
The list of prime factors of all numbers are
Prime factors of 285 are 3 x 5 x 19
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 318 are 2 x 3 x 53
Prime factors of 437 are 19 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 285, 420, 318, 437
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(285, 420) = 7980
GCD(285, 420) = ( 285 x 420 ) / 7980
= 285 / 420
= 285
Step2:
LCM(15, 318) = 1590
GCD(15, 318) = ( 15 x 318 ) / 1590
= 15 / 318
= 15
Step3:
LCM(3, 437) = 1311
GCD(3, 437) = ( 3 x 437 ) / 1311
= 3 / 437
= 3
So, Greatest Common Divisor of 285, 420, 318, 437 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 285, 420, 318, 437
The greatest common divisor of numbers 285, 420, 318, 437 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 285, 420, 318, 437 is 1.
1. What is the GCD of 285, 420, 318, 437?
GCD of given numbers 285, 420, 318, 437 is 1
2. How to calculate the greatest common divisor of 285, 420, 318, 437?
We can find the highest common divisor of 285, 420, 318, 437 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 285, 420, 318, 437 i.e 1.
3. How can I use the GCD of 285, 420, 318, 437Calculator?
Out the numbers 285, 420, 318, 437 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.