Online GCD Calculator is useful to find the GCD of 272, 976, 73, 990 quickly. Get the easiest ways to solve the greatest common divisor of 272, 976, 73, 990 i.e 1 in different methods as follows.
Given Input numbers are 272, 976, 73, 990
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 976 :
The positive integer divisors of 976 that completely divides 976 are.
1, 2, 4, 8, 16, 61, 122, 244, 488, 976
Divisors of 73 :
The positive integer divisors of 73 that completely divides 73 are.
1, 73
Divisors of 990 :
The positive integer divisors of 990 that completely divides 990 are.
1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
GCD of numbers is the greatest common divisor
So, the GCD (272, 976, 73, 990) = 1.
Given numbers are 272, 976, 73, 990
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 976 are 2 x 2 x 2 x 2 x 61
Prime factors of 73 are 73
Prime factors of 990 are 2 x 3 x 3 x 5 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 272, 976, 73, 990
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(272, 976) = 16592
GCD(272, 976) = ( 272 x 976 ) / 16592
= 272 / 976
= 272
Step2:
LCM(16, 73) = 1168
GCD(16, 73) = ( 16 x 73 ) / 1168
= 16 / 73
= 16
Step3:
LCM(1, 990) = 990
GCD(1, 990) = ( 1 x 990 ) / 990
= 1 / 990
= 1
So, Greatest Common Divisor of 272, 976, 73, 990 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 272, 976, 73, 990
The greatest common divisor of numbers 272, 976, 73, 990 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 272, 976, 73, 990 is 1.
1. What is the GCD of 272, 976, 73, 990?
GCD of given numbers 272, 976, 73, 990 is 1
2. How to calculate the greatest common divisor of 272, 976, 73, 990?
We can find the highest common divisor of 272, 976, 73, 990 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, 976, 73, 990 i.e 1.
3. How can I use the GCD of 272, 976, 73, 990Calculator?
Out the numbers 272, 976, 73, 990 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.