Online GCD Calculator is useful to find the GCD of 420, 405, 602, 854 quickly. Get the easiest ways to solve the greatest common divisor of 420, 405, 602, 854 i.e 1 in different methods as follows.
Given Input numbers are 420, 405, 602, 854
In the factoring method, we have to find the divisors of all numbers
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 405 :
The positive integer divisors of 405 that completely divides 405 are.
1, 3, 5, 9, 15, 27, 45, 81, 135, 405
Divisors of 602 :
The positive integer divisors of 602 that completely divides 602 are.
1, 2, 7, 14, 43, 86, 301, 602
Divisors of 854 :
The positive integer divisors of 854 that completely divides 854 are.
1, 2, 7, 14, 61, 122, 427, 854
GCD of numbers is the greatest common divisor
So, the GCD (420, 405, 602, 854) = 1.
Given numbers are 420, 405, 602, 854
The list of prime factors of all numbers are
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 405 are 3 x 3 x 3 x 3 x 5
Prime factors of 602 are 2 x 7 x 43
Prime factors of 854 are 2 x 7 x 61
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 420, 405, 602, 854
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(420, 405) = 11340
GCD(420, 405) = ( 420 x 405 ) / 11340
= 420 / 405
= 420
Step2:
LCM(15, 602) = 9030
GCD(15, 602) = ( 15 x 602 ) / 9030
= 15 / 602
= 15
Step3:
LCM(1, 854) = 854
GCD(1, 854) = ( 1 x 854 ) / 854
= 1 / 854
= 1
So, Greatest Common Divisor of 420, 405, 602, 854 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 420, 405, 602, 854
The greatest common divisor of numbers 420, 405, 602, 854 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 405, 602, 854 is 1.
1. What is the GCD of 420, 405, 602, 854?
GCD of given numbers 420, 405, 602, 854 is 1
2. How to calculate the greatest common divisor of 420, 405, 602, 854?
We can find the highest common divisor of 420, 405, 602, 854 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 420, 405, 602, 854 i.e 1.
3. How can I use the GCD of 420, 405, 602, 854Calculator?
Out the numbers 420, 405, 602, 854 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.