Online GCD Calculator is useful to find the GCD of 340, 544, 289 quickly. Get the easiest ways to solve the greatest common divisor of 340, 544, 289 i.e 17 in different methods as follows.
Given Input numbers are 340, 544, 289
In the factoring method, we have to find the divisors of all numbers
Divisors of 340 :
The positive integer divisors of 340 that completely divides 340 are.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
Divisors of 544 :
The positive integer divisors of 544 that completely divides 544 are.
1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
Divisors of 289 :
The positive integer divisors of 289 that completely divides 289 are.
1, 17, 289
GCD of numbers is the greatest common divisor
So, the GCD (340, 544, 289) = 17.
Given numbers are 340, 544, 289
The list of prime factors of all numbers are
Prime factors of 340 are 2 x 2 x 5 x 17
Prime factors of 544 are 2 x 2 x 2 x 2 x 2 x 17
Prime factors of 289 are 17 x 17
The highest common occurrence is 171
Therefore, GCD of 340, 544, 289 is 17.
Given numbers are 340, 544, 289
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(340, 544) = 2720
GCD(340, 544) = ( 340 x 544 ) / 2720
= 340 / 544
= 340
Step2:
LCM(68, 289) = 1156
GCD(68, 289) = ( 68 x 289 ) / 1156
= 68 / 289
= 68
So, Greatest Common Divisor of 340, 544, 289 is 17
Here are some samples of GCD of Numbers calculations.
Given numbers are 340, 544, 289
The greatest common divisor of numbers 340, 544, 289 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 340, 544, 289 is 17.
1. What is the GCD of 340, 544, 289?
GCD of given numbers 340, 544, 289 is 17
2. How to calculate the greatest common divisor of 340, 544, 289?
We can find the highest common divisor of 340, 544, 289 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 340, 544, 289 i.e 17.
3. How can I use the GCD of 340, 544, 289Calculator?
Out the numbers 340, 544, 289 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.