Online GCD Calculator is useful to find the GCD of 939, 972, 159, 459 quickly. Get the easiest ways to solve the greatest common divisor of 939, 972, 159, 459 i.e 3 in different methods as follows.
Given Input numbers are 939, 972, 159, 459
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 972 :
The positive integer divisors of 972 that completely divides 972 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
Divisors of 159 :
The positive integer divisors of 159 that completely divides 159 are.
1, 3, 53, 159
Divisors of 459 :
The positive integer divisors of 459 that completely divides 459 are.
1, 3, 9, 17, 27, 51, 153, 459
GCD of numbers is the greatest common divisor
So, the GCD (939, 972, 159, 459) = 3.
Given numbers are 939, 972, 159, 459
The list of prime factors of all numbers are
Prime factors of 939 are 3 x 313
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 159 are 3 x 53
Prime factors of 459 are 3 x 3 x 3 x 17
The highest common occurrence is 31
Therefore, GCD of 939, 972, 159, 459 is 3.
Given numbers are 939, 972, 159, 459
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(939, 972) = 304236
GCD(939, 972) = ( 939 x 972 ) / 304236
= 939 / 972
= 939
Step2:
LCM(3, 159) = 159
GCD(3, 159) = ( 3 x 159 ) / 159
= 3 / 159
= 3
Step3:
LCM(3, 459) = 459
GCD(3, 459) = ( 3 x 459 ) / 459
= 3 / 459
= 3
So, Greatest Common Divisor of 939, 972, 159, 459 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 939, 972, 159, 459
The greatest common divisor of numbers 939, 972, 159, 459 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 939, 972, 159, 459 is 3.
1. What is the GCD of 939, 972, 159, 459?
GCD of given numbers 939, 972, 159, 459 is 3
2. How to calculate the greatest common divisor of 939, 972, 159, 459?
We can find the highest common divisor of 939, 972, 159, 459 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, 972, 159, 459 i.e 3.
3. How can I use the GCD of 939, 972, 159, 459Calculator?
Out the numbers 939, 972, 159, 459 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.