Online GCD Calculator is useful to find the GCD of 272, 994, 213, 323 quickly. Get the easiest ways to solve the greatest common divisor of 272, 994, 213, 323 i.e 1 in different methods as follows.
Given Input numbers are 272, 994, 213, 323
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 994 :
The positive integer divisors of 994 that completely divides 994 are.
1, 2, 7, 14, 71, 142, 497, 994
Divisors of 213 :
The positive integer divisors of 213 that completely divides 213 are.
1, 3, 71, 213
Divisors of 323 :
The positive integer divisors of 323 that completely divides 323 are.
1, 17, 19, 323
GCD of numbers is the greatest common divisor
So, the GCD (272, 994, 213, 323) = 1.
Given numbers are 272, 994, 213, 323
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 994 are 2 x 7 x 71
Prime factors of 213 are 3 x 71
Prime factors of 323 are 17 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 272, 994, 213, 323
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(272, 994) = 135184
GCD(272, 994) = ( 272 x 994 ) / 135184
= 272 / 994
= 272
Step2:
LCM(2, 213) = 426
GCD(2, 213) = ( 2 x 213 ) / 426
= 2 / 213
= 2
Step3:
LCM(1, 323) = 323
GCD(1, 323) = ( 1 x 323 ) / 323
= 1 / 323
= 1
So, Greatest Common Divisor of 272, 994, 213, 323 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 272, 994, 213, 323
The greatest common divisor of numbers 272, 994, 213, 323 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 272, 994, 213, 323 is 1.
1. What is the GCD of 272, 994, 213, 323?
GCD of given numbers 272, 994, 213, 323 is 1
2. How to calculate the greatest common divisor of 272, 994, 213, 323?
We can find the highest common divisor of 272, 994, 213, 323 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, 994, 213, 323 i.e 1.
3. How can I use the GCD of 272, 994, 213, 323Calculator?
Out the numbers 272, 994, 213, 323 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.