Online GCD Calculator is useful to find the GCD of 939, 102, 210, 693 quickly. Get the easiest ways to solve the greatest common divisor of 939, 102, 210, 693 i.e 3 in different methods as follows.
Given Input numbers are 939, 102, 210, 693
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 102 :
The positive integer divisors of 102 that completely divides 102 are.
1, 2, 3, 6, 17, 34, 51, 102
Divisors of 210 :
The positive integer divisors of 210 that completely divides 210 are.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
Divisors of 693 :
The positive integer divisors of 693 that completely divides 693 are.
1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
GCD of numbers is the greatest common divisor
So, the GCD (939, 102, 210, 693) = 3.
Given numbers are 939, 102, 210, 693
The list of prime factors of all numbers are
Prime factors of 939 are 3 x 313
Prime factors of 102 are 2 x 3 x 17
Prime factors of 210 are 2 x 3 x 5 x 7
Prime factors of 693 are 3 x 3 x 7 x 11
The highest common occurrence is 31
Therefore, GCD of 939, 102, 210, 693 is 3.
Given numbers are 939, 102, 210, 693
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(939, 102) = 31926
GCD(939, 102) = ( 939 x 102 ) / 31926
= 939 / 102
= 939
Step2:
LCM(3, 210) = 210
GCD(3, 210) = ( 3 x 210 ) / 210
= 3 / 210
= 3
Step3:
LCM(3, 693) = 693
GCD(3, 693) = ( 3 x 693 ) / 693
= 3 / 693
= 3
So, Greatest Common Divisor of 939, 102, 210, 693 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 939, 102, 210, 693
The greatest common divisor of numbers 939, 102, 210, 693 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 939, 102, 210, 693 is 3.
1. What is the GCD of 939, 102, 210, 693?
GCD of given numbers 939, 102, 210, 693 is 3
2. How to calculate the greatest common divisor of 939, 102, 210, 693?
We can find the highest common divisor of 939, 102, 210, 693 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, 102, 210, 693 i.e 3.
3. How can I use the GCD of 939, 102, 210, 693Calculator?
Out the numbers 939, 102, 210, 693 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.