Online GCD Calculator is useful to find the GCD of 689, 340, 288, 557 quickly. Get the easiest ways to solve the greatest common divisor of 689, 340, 288, 557 i.e 1 in different methods as follows.
Given Input numbers are 689, 340, 288, 557
In the factoring method, we have to find the divisors of all numbers
Divisors of 689 :
The positive integer divisors of 689 that completely divides 689 are.
1, 13, 53, 689
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 288 :
The positive integer divisors of 288 that completely divides 288 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
Divisors of 557 :
The positive integer divisors of 557 that completely divides 557 are.
1, 557
GCD of numbers is the greatest common divisor
So, the GCD (689, 340, 288, 557) = 1.
Given numbers are 689, 340, 288, 557
The list of prime factors of all numbers are
Prime factors of 689 are 13 x 53
Prime factors of 340 are 2 x 2 x 5 x 17
Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 557 are 557
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 689, 340, 288, 557
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(689, 340) = 234260
GCD(689, 340) = ( 689 x 340 ) / 234260
= 689 / 340
= 689
Step2:
LCM(1, 288) = 288
GCD(1, 288) = ( 1 x 288 ) / 288
= 1 / 288
= 1
Step3:
LCM(1, 557) = 557
GCD(1, 557) = ( 1 x 557 ) / 557
= 1 / 557
= 1
So, Greatest Common Divisor of 689, 340, 288, 557 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 689, 340, 288, 557
The greatest common divisor of numbers 689, 340, 288, 557 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 340, 288, 557 is 1.
1. What is the GCD of 689, 340, 288, 557?
GCD of given numbers 689, 340, 288, 557 is 1
2. How to calculate the greatest common divisor of 689, 340, 288, 557?
We can find the highest common divisor of 689, 340, 288, 557 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 689, 340, 288, 557 i.e 1.
3. How can I use the GCD of 689, 340, 288, 557Calculator?
Out the numbers 689, 340, 288, 557 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.