Online GCD Calculator is useful to find the GCD of 694, 728, 108, 221 quickly. Get the easiest ways to solve the greatest common divisor of 694, 728, 108, 221 i.e 1 in different methods as follows.
Given Input numbers are 694, 728, 108, 221
In the factoring method, we have to find the divisors of all numbers
Divisors of 694 :
The positive integer divisors of 694 that completely divides 694 are.
1, 2, 347, 694
Divisors of 728 :
The positive integer divisors of 728 that completely divides 728 are.
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
Divisors of 108 :
The positive integer divisors of 108 that completely divides 108 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Divisors of 221 :
The positive integer divisors of 221 that completely divides 221 are.
1, 13, 17, 221
GCD of numbers is the greatest common divisor
So, the GCD (694, 728, 108, 221) = 1.
Given numbers are 694, 728, 108, 221
The list of prime factors of all numbers are
Prime factors of 694 are 2 x 347
Prime factors of 728 are 2 x 2 x 2 x 7 x 13
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
Prime factors of 221 are 13 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 694, 728, 108, 221
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(694, 728) = 252616
GCD(694, 728) = ( 694 x 728 ) / 252616
= 694 / 728
= 694
Step2:
LCM(2, 108) = 108
GCD(2, 108) = ( 2 x 108 ) / 108
= 2 / 108
= 2
Step3:
LCM(2, 221) = 442
GCD(2, 221) = ( 2 x 221 ) / 442
= 2 / 221
= 2
So, Greatest Common Divisor of 694, 728, 108, 221 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 694, 728, 108, 221
The greatest common divisor of numbers 694, 728, 108, 221 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 694, 728, 108, 221 is 1.
1. What is the GCD of 694, 728, 108, 221?
GCD of given numbers 694, 728, 108, 221 is 1
2. How to calculate the greatest common divisor of 694, 728, 108, 221?
We can find the highest common divisor of 694, 728, 108, 221 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 694, 728, 108, 221 i.e 1.
3. How can I use the GCD of 694, 728, 108, 221Calculator?
Out the numbers 694, 728, 108, 221 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.