Online GCD Calculator is useful to find the GCD of 689, 221, 356 quickly. Get the easiest ways to solve the greatest common divisor of 689, 221, 356 i.e 1 in different methods as follows.
Given Input numbers are 689, 221, 356
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 221 :
The positive integer divisors of 221 that completely divides 221 are.
1, 13, 17, 221
Divisors of 356 :
The positive integer divisors of 356 that completely divides 356 are.
1, 2, 4, 89, 178, 356
GCD of numbers is the greatest common divisor
So, the GCD (689, 221, 356) = 1.
Given numbers are 689, 221, 356
The list of prime factors of all numbers are
Prime factors of 689 are 13 x 53
Prime factors of 221 are 13 x 17
Prime factors of 356 are 2 x 2 x 89
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 689, 221, 356
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(689, 221) = 11713
GCD(689, 221) = ( 689 x 221 ) / 11713
= 689 / 221
= 689
Step2:
LCM(13, 356) = 4628
GCD(13, 356) = ( 13 x 356 ) / 4628
= 13 / 356
= 13
So, Greatest Common Divisor of 689, 221, 356 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 689, 221, 356
The greatest common divisor of numbers 689, 221, 356 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 221, 356 is 1.
1. What is the GCD of 689, 221, 356?
GCD of given numbers 689, 221, 356 is 1
2. How to calculate the greatest common divisor of 689, 221, 356?
We can find the highest common divisor of 689, 221, 356 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, 221, 356 i.e 1.
3. How can I use the GCD of 689, 221, 356Calculator?
Out the numbers 689, 221, 356 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.