Online GCD Calculator is useful to find the GCD of 942, 936, 783, 231 quickly. Get the easiest ways to solve the greatest common divisor of 942, 936, 783, 231 i.e 3 in different methods as follows.
Given Input numbers are 942, 936, 783, 231
In the factoring method, we have to find the divisors of all numbers
Divisors of 942 :
The positive integer divisors of 942 that completely divides 942 are.
1, 2, 3, 6, 157, 314, 471, 942
Divisors of 936 :
The positive integer divisors of 936 that completely divides 936 are.
1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
Divisors of 783 :
The positive integer divisors of 783 that completely divides 783 are.
1, 3, 9, 27, 29, 87, 261, 783
Divisors of 231 :
The positive integer divisors of 231 that completely divides 231 are.
1, 3, 7, 11, 21, 33, 77, 231
GCD of numbers is the greatest common divisor
So, the GCD (942, 936, 783, 231) = 3.
Given numbers are 942, 936, 783, 231
The list of prime factors of all numbers are
Prime factors of 942 are 2 x 3 x 157
Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13
Prime factors of 783 are 3 x 3 x 3 x 29
Prime factors of 231 are 3 x 7 x 11
The highest common occurrence is 31
Therefore, GCD of 942, 936, 783, 231 is 3.
Given numbers are 942, 936, 783, 231
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(942, 936) = 146952
GCD(942, 936) = ( 942 x 936 ) / 146952
= 942 / 936
= 942
Step2:
LCM(6, 783) = 1566
GCD(6, 783) = ( 6 x 783 ) / 1566
= 6 / 783
= 6
Step3:
LCM(3, 231) = 231
GCD(3, 231) = ( 3 x 231 ) / 231
= 3 / 231
= 3
So, Greatest Common Divisor of 942, 936, 783, 231 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 942, 936, 783, 231
The greatest common divisor of numbers 942, 936, 783, 231 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 942, 936, 783, 231 is 3.
1. What is the GCD of 942, 936, 783, 231?
GCD of given numbers 942, 936, 783, 231 is 3
2. How to calculate the greatest common divisor of 942, 936, 783, 231?
We can find the highest common divisor of 942, 936, 783, 231 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 942, 936, 783, 231 i.e 3.
3. How can I use the GCD of 942, 936, 783, 231Calculator?
Out the numbers 942, 936, 783, 231 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.