Online GCD Calculator is useful to find the GCD of 272, 822, 128, 361 quickly. Get the easiest ways to solve the greatest common divisor of 272, 822, 128, 361 i.e 1 in different methods as follows.
Given Input numbers are 272, 822, 128, 361
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 822 :
The positive integer divisors of 822 that completely divides 822 are.
1, 2, 3, 6, 137, 274, 411, 822
Divisors of 128 :
The positive integer divisors of 128 that completely divides 128 are.
1, 2, 4, 8, 16, 32, 64, 128
Divisors of 361 :
The positive integer divisors of 361 that completely divides 361 are.
1, 19, 361
GCD of numbers is the greatest common divisor
So, the GCD (272, 822, 128, 361) = 1.
Given numbers are 272, 822, 128, 361
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 822 are 2 x 3 x 137
Prime factors of 128 are 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime factors of 361 are 19 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 272, 822, 128, 361
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(272, 822) = 111792
GCD(272, 822) = ( 272 x 822 ) / 111792
= 272 / 822
= 272
Step2:
LCM(2, 128) = 128
GCD(2, 128) = ( 2 x 128 ) / 128
= 2 / 128
= 2
Step3:
LCM(2, 361) = 722
GCD(2, 361) = ( 2 x 361 ) / 722
= 2 / 361
= 2
So, Greatest Common Divisor of 272, 822, 128, 361 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 272, 822, 128, 361
The greatest common divisor of numbers 272, 822, 128, 361 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 272, 822, 128, 361 is 1.
1. What is the GCD of 272, 822, 128, 361?
GCD of given numbers 272, 822, 128, 361 is 1
2. How to calculate the greatest common divisor of 272, 822, 128, 361?
We can find the highest common divisor of 272, 822, 128, 361 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, 822, 128, 361 i.e 1.
3. How can I use the GCD of 272, 822, 128, 361Calculator?
Out the numbers 272, 822, 128, 361 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.