Online GCD Calculator is useful to find the GCD of 774, 561, 309, 172 quickly. Get the easiest ways to solve the greatest common divisor of 774, 561, 309, 172 i.e 1 in different methods as follows.
Given Input numbers are 774, 561, 309, 172
In the factoring method, we have to find the divisors of all numbers
Divisors of 774 :
The positive integer divisors of 774 that completely divides 774 are.
1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
Divisors of 561 :
The positive integer divisors of 561 that completely divides 561 are.
1, 3, 11, 17, 33, 51, 187, 561
Divisors of 309 :
The positive integer divisors of 309 that completely divides 309 are.
1, 3, 103, 309
Divisors of 172 :
The positive integer divisors of 172 that completely divides 172 are.
1, 2, 4, 43, 86, 172
GCD of numbers is the greatest common divisor
So, the GCD (774, 561, 309, 172) = 1.
Given numbers are 774, 561, 309, 172
The list of prime factors of all numbers are
Prime factors of 774 are 2 x 3 x 3 x 43
Prime factors of 561 are 3 x 11 x 17
Prime factors of 309 are 3 x 103
Prime factors of 172 are 2 x 2 x 43
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 774, 561, 309, 172
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(774, 561) = 144738
GCD(774, 561) = ( 774 x 561 ) / 144738
= 774 / 561
= 774
Step2:
LCM(3, 309) = 309
GCD(3, 309) = ( 3 x 309 ) / 309
= 3 / 309
= 3
Step3:
LCM(3, 172) = 516
GCD(3, 172) = ( 3 x 172 ) / 516
= 3 / 172
= 3
So, Greatest Common Divisor of 774, 561, 309, 172 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 774, 561, 309, 172
The greatest common divisor of numbers 774, 561, 309, 172 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 774, 561, 309, 172 is 1.
1. What is the GCD of 774, 561, 309, 172?
GCD of given numbers 774, 561, 309, 172 is 1
2. How to calculate the greatest common divisor of 774, 561, 309, 172?
We can find the highest common divisor of 774, 561, 309, 172 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 774, 561, 309, 172 i.e 1.
3. How can I use the GCD of 774, 561, 309, 172Calculator?
Out the numbers 774, 561, 309, 172 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.