Online GCD Calculator is useful to find the GCD of 272, 489, 890, 490 quickly. Get the easiest ways to solve the greatest common divisor of 272, 489, 890, 490 i.e 1 in different methods as follows.
Given Input numbers are 272, 489, 890, 490
In the factoring method, we have to find the divisors of all numbers
Divisors of 272 :
The positive integer divisors of 272 that completely divides 272 are.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
Divisors of 489 :
The positive integer divisors of 489 that completely divides 489 are.
1, 3, 163, 489
Divisors of 890 :
The positive integer divisors of 890 that completely divides 890 are.
1, 2, 5, 10, 89, 178, 445, 890
Divisors of 490 :
The positive integer divisors of 490 that completely divides 490 are.
1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
GCD of numbers is the greatest common divisor
So, the GCD (272, 489, 890, 490) = 1.
Given numbers are 272, 489, 890, 490
The list of prime factors of all numbers are
Prime factors of 272 are 2 x 2 x 2 x 2 x 17
Prime factors of 489 are 3 x 163
Prime factors of 890 are 2 x 5 x 89
Prime factors of 490 are 2 x 5 x 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 272, 489, 890, 490
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(272, 489) = 133008
GCD(272, 489) = ( 272 x 489 ) / 133008
= 272 / 489
= 272
Step2:
LCM(1, 890) = 890
GCD(1, 890) = ( 1 x 890 ) / 890
= 1 / 890
= 1
Step3:
LCM(1, 490) = 490
GCD(1, 490) = ( 1 x 490 ) / 490
= 1 / 490
= 1
So, Greatest Common Divisor of 272, 489, 890, 490 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 272, 489, 890, 490
The greatest common divisor of numbers 272, 489, 890, 490 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 272, 489, 890, 490 is 1.
1. What is the GCD of 272, 489, 890, 490?
GCD of given numbers 272, 489, 890, 490 is 1
2. How to calculate the greatest common divisor of 272, 489, 890, 490?
We can find the highest common divisor of 272, 489, 890, 490 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 272, 489, 890, 490 i.e 1.
3. How can I use the GCD of 272, 489, 890, 490Calculator?
Out the numbers 272, 489, 890, 490 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.