Online GCD Calculator is useful to find the GCD of 939, 420, 312, 510 quickly. Get the easiest ways to solve the greatest common divisor of 939, 420, 312, 510 i.e 3 in different methods as follows.
Given Input numbers are 939, 420, 312, 510
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 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 312 :
The positive integer divisors of 312 that completely divides 312 are.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
Divisors of 510 :
The positive integer divisors of 510 that completely divides 510 are.
1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
GCD of numbers is the greatest common divisor
So, the GCD (939, 420, 312, 510) = 3.
Given numbers are 939, 420, 312, 510
The list of prime factors of all numbers are
Prime factors of 939 are 3 x 313
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
Prime factors of 510 are 2 x 3 x 5 x 17
The highest common occurrence is 31
Therefore, GCD of 939, 420, 312, 510 is 3.
Given numbers are 939, 420, 312, 510
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(939, 420) = 131460
GCD(939, 420) = ( 939 x 420 ) / 131460
= 939 / 420
= 939
Step2:
LCM(3, 312) = 312
GCD(3, 312) = ( 3 x 312 ) / 312
= 3 / 312
= 3
Step3:
LCM(3, 510) = 510
GCD(3, 510) = ( 3 x 510 ) / 510
= 3 / 510
= 3
So, Greatest Common Divisor of 939, 420, 312, 510 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 939, 420, 312, 510
The greatest common divisor of numbers 939, 420, 312, 510 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 939, 420, 312, 510 is 3.
1. What is the GCD of 939, 420, 312, 510?
GCD of given numbers 939, 420, 312, 510 is 3
2. How to calculate the greatest common divisor of 939, 420, 312, 510?
We can find the highest common divisor of 939, 420, 312, 510 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, 420, 312, 510 i.e 3.
3. How can I use the GCD of 939, 420, 312, 510Calculator?
Out the numbers 939, 420, 312, 510 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.