Online GCD Calculator is useful to find the GCD of 494, 212, 120, 271 quickly. Get the easiest ways to solve the greatest common divisor of 494, 212, 120, 271 i.e 1 in different methods as follows.
Given Input numbers are 494, 212, 120, 271
In the factoring method, we have to find the divisors of all numbers
Divisors of 494 :
The positive integer divisors of 494 that completely divides 494 are.
1, 2, 13, 19, 26, 38, 247, 494
Divisors of 212 :
The positive integer divisors of 212 that completely divides 212 are.
1, 2, 4, 53, 106, 212
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 271 :
The positive integer divisors of 271 that completely divides 271 are.
1, 271
GCD of numbers is the greatest common divisor
So, the GCD (494, 212, 120, 271) = 1.
Given numbers are 494, 212, 120, 271
The list of prime factors of all numbers are
Prime factors of 494 are 2 x 13 x 19
Prime factors of 212 are 2 x 2 x 53
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 271 are 271
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 494, 212, 120, 271
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(494, 212) = 52364
GCD(494, 212) = ( 494 x 212 ) / 52364
= 494 / 212
= 494
Step2:
LCM(2, 120) = 120
GCD(2, 120) = ( 2 x 120 ) / 120
= 2 / 120
= 2
Step3:
LCM(2, 271) = 542
GCD(2, 271) = ( 2 x 271 ) / 542
= 2 / 271
= 2
So, Greatest Common Divisor of 494, 212, 120, 271 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 494, 212, 120, 271
The greatest common divisor of numbers 494, 212, 120, 271 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 494, 212, 120, 271 is 1.
1. What is the GCD of 494, 212, 120, 271?
GCD of given numbers 494, 212, 120, 271 is 1
2. How to calculate the greatest common divisor of 494, 212, 120, 271?
We can find the highest common divisor of 494, 212, 120, 271 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 494, 212, 120, 271 i.e 1.
3. How can I use the GCD of 494, 212, 120, 271Calculator?
Out the numbers 494, 212, 120, 271 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.