Online GCD Calculator is useful to find the GCD of 327, 942, 77, 309 quickly. Get the easiest ways to solve the greatest common divisor of 327, 942, 77, 309 i.e 1 in different methods as follows.
Given Input numbers are 327, 942, 77, 309
In the factoring method, we have to find the divisors of all numbers
Divisors of 327 :
The positive integer divisors of 327 that completely divides 327 are.
1, 3, 109, 327
Divisors of 942 :
The positive integer divisors of 942 that completely divides 942 are.
1, 2, 3, 6, 157, 314, 471, 942
Divisors of 77 :
The positive integer divisors of 77 that completely divides 77 are.
1, 7, 11, 77
Divisors of 309 :
The positive integer divisors of 309 that completely divides 309 are.
1, 3, 103, 309
GCD of numbers is the greatest common divisor
So, the GCD (327, 942, 77, 309) = 1.
Given numbers are 327, 942, 77, 309
The list of prime factors of all numbers are
Prime factors of 327 are 3 x 109
Prime factors of 942 are 2 x 3 x 157
Prime factors of 77 are 7 x 11
Prime factors of 309 are 3 x 103
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 327, 942, 77, 309
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(327, 942) = 102678
GCD(327, 942) = ( 327 x 942 ) / 102678
= 327 / 942
= 327
Step2:
LCM(3, 77) = 231
GCD(3, 77) = ( 3 x 77 ) / 231
= 3 / 77
= 3
Step3:
LCM(1, 309) = 309
GCD(1, 309) = ( 1 x 309 ) / 309
= 1 / 309
= 1
So, Greatest Common Divisor of 327, 942, 77, 309 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 327, 942, 77, 309
The greatest common divisor of numbers 327, 942, 77, 309 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 327, 942, 77, 309 is 1.
1. What is the GCD of 327, 942, 77, 309?
GCD of given numbers 327, 942, 77, 309 is 1
2. How to calculate the greatest common divisor of 327, 942, 77, 309?
We can find the highest common divisor of 327, 942, 77, 309 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 327, 942, 77, 309 i.e 1.
3. How can I use the GCD of 327, 942, 77, 309Calculator?
Out the numbers 327, 942, 77, 309 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.