Online GCD Calculator is useful to find the GCD of 420, 143, 195, 918 quickly. Get the easiest ways to solve the greatest common divisor of 420, 143, 195, 918 i.e 1 in different methods as follows.
Given Input numbers are 420, 143, 195, 918
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 143 :
The positive integer divisors of 143 that completely divides 143 are.
1, 11, 13, 143
Divisors of 195 :
The positive integer divisors of 195 that completely divides 195 are.
1, 3, 5, 13, 15, 39, 65, 195
Divisors of 918 :
The positive integer divisors of 918 that completely divides 918 are.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
GCD of numbers is the greatest common divisor
So, the GCD (420, 143, 195, 918) = 1.
Given numbers are 420, 143, 195, 918
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 143 are 11 x 13
Prime factors of 195 are 3 x 5 x 13
Prime factors of 918 are 2 x 3 x 3 x 3 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 420, 143, 195, 918
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(420, 143) = 60060
GCD(420, 143) = ( 420 x 143 ) / 60060
= 420 / 143
= 420
Step2:
LCM(1, 195) = 195
GCD(1, 195) = ( 1 x 195 ) / 195
= 1 / 195
= 1
Step3:
LCM(1, 918) = 918
GCD(1, 918) = ( 1 x 918 ) / 918
= 1 / 918
= 1
So, Greatest Common Divisor of 420, 143, 195, 918 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 420, 143, 195, 918
The greatest common divisor of numbers 420, 143, 195, 918 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 143, 195, 918 is 1.
1. What is the GCD of 420, 143, 195, 918?
GCD of given numbers 420, 143, 195, 918 is 1
2. How to calculate the greatest common divisor of 420, 143, 195, 918?
We can find the highest common divisor of 420, 143, 195, 918 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, 143, 195, 918 i.e 1.
3. How can I use the GCD of 420, 143, 195, 918Calculator?
Out the numbers 420, 143, 195, 918 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.