Online GCD Calculator is useful to find the GCD of 289, 572, 355 quickly. Get the easiest ways to solve the greatest common divisor of 289, 572, 355 i.e 1 in different methods as follows.
Given Input numbers are 289, 572, 355
In the factoring method, we have to find the divisors of all numbers
Divisors of 289 :
The positive integer divisors of 289 that completely divides 289 are.
1, 17, 289
Divisors of 572 :
The positive integer divisors of 572 that completely divides 572 are.
1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
Divisors of 355 :
The positive integer divisors of 355 that completely divides 355 are.
1, 5, 71, 355
GCD of numbers is the greatest common divisor
So, the GCD (289, 572, 355) = 1.
Given numbers are 289, 572, 355
The list of prime factors of all numbers are
Prime factors of 289 are 17 x 17
Prime factors of 572 are 2 x 2 x 11 x 13
Prime factors of 355 are 5 x 71
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 289, 572, 355
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(289, 572) = 165308
GCD(289, 572) = ( 289 x 572 ) / 165308
= 289 / 572
= 289
Step2:
LCM(1, 355) = 355
GCD(1, 355) = ( 1 x 355 ) / 355
= 1 / 355
= 1
So, Greatest Common Divisor of 289, 572, 355 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 289, 572, 355
The greatest common divisor of numbers 289, 572, 355 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 289, 572, 355 is 1.
1. What is the GCD of 289, 572, 355?
GCD of given numbers 289, 572, 355 is 1
2. How to calculate the greatest common divisor of 289, 572, 355?
We can find the highest common divisor of 289, 572, 355 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 289, 572, 355 i.e 1.
3. How can I use the GCD of 289, 572, 355Calculator?
Out the numbers 289, 572, 355 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.