Online GCD Calculator is useful to find the GCD of 939, 342, 708, 894 quickly. Get the easiest ways to solve the greatest common divisor of 939, 342, 708, 894 i.e 3 in different methods as follows.
Given Input numbers are 939, 342, 708, 894
In the factoring method, we have to find the divisors of all numbers
Divisors of 939 :
The positive integer divisors of 939 that completely divides 939 are.
1, 3, 313, 939
Divisors of 342 :
The positive integer divisors of 342 that completely divides 342 are.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
Divisors of 708 :
The positive integer divisors of 708 that completely divides 708 are.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
Divisors of 894 :
The positive integer divisors of 894 that completely divides 894 are.
1, 2, 3, 6, 149, 298, 447, 894
GCD of numbers is the greatest common divisor
So, the GCD (939, 342, 708, 894) = 3.
Given numbers are 939, 342, 708, 894
The list of prime factors of all numbers are
Prime factors of 939 are 3 x 313
Prime factors of 342 are 2 x 3 x 3 x 19
Prime factors of 708 are 2 x 2 x 3 x 59
Prime factors of 894 are 2 x 3 x 149
The highest common occurrence is 31
Therefore, GCD of 939, 342, 708, 894 is 3.
Given numbers are 939, 342, 708, 894
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(939, 342) = 107046
GCD(939, 342) = ( 939 x 342 ) / 107046
= 939 / 342
= 939
Step2:
LCM(3, 708) = 708
GCD(3, 708) = ( 3 x 708 ) / 708
= 3 / 708
= 3
Step3:
LCM(3, 894) = 894
GCD(3, 894) = ( 3 x 894 ) / 894
= 3 / 894
= 3
So, Greatest Common Divisor of 939, 342, 708, 894 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 939, 342, 708, 894
The greatest common divisor of numbers 939, 342, 708, 894 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 939, 342, 708, 894 is 3.
1. What is the GCD of 939, 342, 708, 894?
GCD of given numbers 939, 342, 708, 894 is 3
2. How to calculate the greatest common divisor of 939, 342, 708, 894?
We can find the highest common divisor of 939, 342, 708, 894 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 939, 342, 708, 894 i.e 3.
3. How can I use the GCD of 939, 342, 708, 894Calculator?
Out the numbers 939, 342, 708, 894 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.