Online GCD Calculator is useful to find the GCD of 890, 448, 493, 120 quickly. Get the easiest ways to solve the greatest common divisor of 890, 448, 493, 120 i.e 1 in different methods as follows.
Given Input numbers are 890, 448, 493, 120
In the factoring method, we have to find the divisors of all numbers
Divisors of 890 :
The positive integer divisors of 890 that completely divides 890 are.
1, 2, 5, 10, 89, 178, 445, 890
Divisors of 448 :
The positive integer divisors of 448 that completely divides 448 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
Divisors of 493 :
The positive integer divisors of 493 that completely divides 493 are.
1, 17, 29, 493
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
GCD of numbers is the greatest common divisor
So, the GCD (890, 448, 493, 120) = 1.
Given numbers are 890, 448, 493, 120
The list of prime factors of all numbers are
Prime factors of 890 are 2 x 5 x 89
Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime factors of 493 are 17 x 29
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 890, 448, 493, 120
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(890, 448) = 199360
GCD(890, 448) = ( 890 x 448 ) / 199360
= 890 / 448
= 890
Step2:
LCM(2, 493) = 986
GCD(2, 493) = ( 2 x 493 ) / 986
= 2 / 493
= 2
Step3:
LCM(1, 120) = 120
GCD(1, 120) = ( 1 x 120 ) / 120
= 1 / 120
= 1
So, Greatest Common Divisor of 890, 448, 493, 120 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 890, 448, 493, 120
The greatest common divisor of numbers 890, 448, 493, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 890, 448, 493, 120 is 1.
1. What is the GCD of 890, 448, 493, 120?
GCD of given numbers 890, 448, 493, 120 is 1
2. How to calculate the greatest common divisor of 890, 448, 493, 120?
We can find the highest common divisor of 890, 448, 493, 120 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 890, 448, 493, 120 i.e 1.
3. How can I use the GCD of 890, 448, 493, 120Calculator?
Out the numbers 890, 448, 493, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.