Online GCD Calculator is useful to find the GCD of 173, 290, 420, 253 quickly. Get the easiest ways to solve the greatest common divisor of 173, 290, 420, 253 i.e 1 in different methods as follows.
Given Input numbers are 173, 290, 420, 253
In the factoring method, we have to find the divisors of all numbers
Divisors of 173 :
The positive integer divisors of 173 that completely divides 173 are.
1, 173
Divisors of 290 :
The positive integer divisors of 290 that completely divides 290 are.
1, 2, 5, 10, 29, 58, 145, 290
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 253 :
The positive integer divisors of 253 that completely divides 253 are.
1, 11, 23, 253
GCD of numbers is the greatest common divisor
So, the GCD (173, 290, 420, 253) = 1.
Given numbers are 173, 290, 420, 253
The list of prime factors of all numbers are
Prime factors of 173 are 173
Prime factors of 290 are 2 x 5 x 29
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 253 are 11 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 173, 290, 420, 253
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(173, 290) = 50170
GCD(173, 290) = ( 173 x 290 ) / 50170
= 173 / 290
= 173
Step2:
LCM(1, 420) = 420
GCD(1, 420) = ( 1 x 420 ) / 420
= 1 / 420
= 1
Step3:
LCM(1, 253) = 253
GCD(1, 253) = ( 1 x 253 ) / 253
= 1 / 253
= 1
So, Greatest Common Divisor of 173, 290, 420, 253 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 173, 290, 420, 253
The greatest common divisor of numbers 173, 290, 420, 253 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 173, 290, 420, 253 is 1.
1. What is the GCD of 173, 290, 420, 253?
GCD of given numbers 173, 290, 420, 253 is 1
2. How to calculate the greatest common divisor of 173, 290, 420, 253?
We can find the highest common divisor of 173, 290, 420, 253 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 173, 290, 420, 253 i.e 1.
3. How can I use the GCD of 173, 290, 420, 253Calculator?
Out the numbers 173, 290, 420, 253 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.