Online GCD Calculator is useful to find the GCD of 273, 420, 120, 608 quickly. Get the easiest ways to solve the greatest common divisor of 273, 420, 120, 608 i.e 1 in different methods as follows.
Given Input numbers are 273, 420, 120, 608
In the factoring method, we have to find the divisors of all numbers
Divisors of 273 :
The positive integer divisors of 273 that completely divides 273 are.
1, 3, 7, 13, 21, 39, 91, 273
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 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Divisors of 608 :
The positive integer divisors of 608 that completely divides 608 are.
1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
GCD of numbers is the greatest common divisor
So, the GCD (273, 420, 120, 608) = 1.
Given numbers are 273, 420, 120, 608
The list of prime factors of all numbers are
Prime factors of 273 are 3 x 7 x 13
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 608 are 2 x 2 x 2 x 2 x 2 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 273, 420, 120, 608
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(273, 420) = 5460
GCD(273, 420) = ( 273 x 420 ) / 5460
= 273 / 420
= 273
Step2:
LCM(21, 120) = 840
GCD(21, 120) = ( 21 x 120 ) / 840
= 21 / 120
= 21
Step3:
LCM(3, 608) = 1824
GCD(3, 608) = ( 3 x 608 ) / 1824
= 3 / 608
= 3
So, Greatest Common Divisor of 273, 420, 120, 608 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 273, 420, 120, 608
The greatest common divisor of numbers 273, 420, 120, 608 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 273, 420, 120, 608 is 1.
1. What is the GCD of 273, 420, 120, 608?
GCD of given numbers 273, 420, 120, 608 is 1
2. How to calculate the greatest common divisor of 273, 420, 120, 608?
We can find the highest common divisor of 273, 420, 120, 608 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 273, 420, 120, 608 i.e 1.
3. How can I use the GCD of 273, 420, 120, 608Calculator?
Out the numbers 273, 420, 120, 608 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.