Online GCD Calculator is useful to find the GCD of 927, 273, 942, 684 quickly. Get the easiest ways to solve the greatest common divisor of 927, 273, 942, 684 i.e 3 in different methods as follows.
Given Input numbers are 927, 273, 942, 684
In the factoring method, we have to find the divisors of all numbers
Divisors of 927 :
The positive integer divisors of 927 that completely divides 927 are.
1, 3, 9, 103, 309, 927
Divisors of 273 :
The positive integer divisors of 273 that completely divides 273 are.
1, 3, 7, 13, 21, 39, 91, 273
Divisors of 942 :
The positive integer divisors of 942 that completely divides 942 are.
1, 2, 3, 6, 157, 314, 471, 942
Divisors of 684 :
The positive integer divisors of 684 that completely divides 684 are.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
GCD of numbers is the greatest common divisor
So, the GCD (927, 273, 942, 684) = 3.
Given numbers are 927, 273, 942, 684
The list of prime factors of all numbers are
Prime factors of 927 are 3 x 3 x 103
Prime factors of 273 are 3 x 7 x 13
Prime factors of 942 are 2 x 3 x 157
Prime factors of 684 are 2 x 2 x 3 x 3 x 19
The highest common occurrence is 31
Therefore, GCD of 927, 273, 942, 684 is 3.
Given numbers are 927, 273, 942, 684
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(927, 273) = 84357
GCD(927, 273) = ( 927 x 273 ) / 84357
= 927 / 273
= 927
Step2:
LCM(3, 942) = 942
GCD(3, 942) = ( 3 x 942 ) / 942
= 3 / 942
= 3
Step3:
LCM(3, 684) = 684
GCD(3, 684) = ( 3 x 684 ) / 684
= 3 / 684
= 3
So, Greatest Common Divisor of 927, 273, 942, 684 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 927, 273, 942, 684
The greatest common divisor of numbers 927, 273, 942, 684 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 927, 273, 942, 684 is 3.
1. What is the GCD of 927, 273, 942, 684?
GCD of given numbers 927, 273, 942, 684 is 3
2. How to calculate the greatest common divisor of 927, 273, 942, 684?
We can find the highest common divisor of 927, 273, 942, 684 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 927, 273, 942, 684 i.e 3.
3. How can I use the GCD of 927, 273, 942, 684Calculator?
Out the numbers 927, 273, 942, 684 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.