Online GCD Calculator is useful to find the GCD of 190, 112, 420, 273 quickly. Get the easiest ways to solve the greatest common divisor of 190, 112, 420, 273 i.e 1 in different methods as follows.
Given Input numbers are 190, 112, 420, 273
In the factoring method, we have to find the divisors of all numbers
Divisors of 190 :
The positive integer divisors of 190 that completely divides 190 are.
1, 2, 5, 10, 19, 38, 95, 190
Divisors of 112 :
The positive integer divisors of 112 that completely divides 112 are.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
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 273 :
The positive integer divisors of 273 that completely divides 273 are.
1, 3, 7, 13, 21, 39, 91, 273
GCD of numbers is the greatest common divisor
So, the GCD (190, 112, 420, 273) = 1.
Given numbers are 190, 112, 420, 273
The list of prime factors of all numbers are
Prime factors of 190 are 2 x 5 x 19
Prime factors of 112 are 2 x 2 x 2 x 2 x 7
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 273 are 3 x 7 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 190, 112, 420, 273
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(190, 112) = 10640
GCD(190, 112) = ( 190 x 112 ) / 10640
= 190 / 112
= 190
Step2:
LCM(2, 420) = 420
GCD(2, 420) = ( 2 x 420 ) / 420
= 2 / 420
= 2
Step3:
LCM(2, 273) = 546
GCD(2, 273) = ( 2 x 273 ) / 546
= 2 / 273
= 2
So, Greatest Common Divisor of 190, 112, 420, 273 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 190, 112, 420, 273
The greatest common divisor of numbers 190, 112, 420, 273 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 190, 112, 420, 273 is 1.
1. What is the GCD of 190, 112, 420, 273?
GCD of given numbers 190, 112, 420, 273 is 1
2. How to calculate the greatest common divisor of 190, 112, 420, 273?
We can find the highest common divisor of 190, 112, 420, 273 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 190, 112, 420, 273 i.e 1.
3. How can I use the GCD of 190, 112, 420, 273Calculator?
Out the numbers 190, 112, 420, 273 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.