Online GCD Calculator is useful to find the GCD of 633, 996, 714, 339 quickly. Get the easiest ways to solve the greatest common divisor of 633, 996, 714, 339 i.e 3 in different methods as follows.
Given Input numbers are 633, 996, 714, 339
In the factoring method, we have to find the divisors of all numbers
Divisors of 633 :
The positive integer divisors of 633 that completely divides 633 are.
1, 3, 211, 633
Divisors of 996 :
The positive integer divisors of 996 that completely divides 996 are.
1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
Divisors of 714 :
The positive integer divisors of 714 that completely divides 714 are.
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
Divisors of 339 :
The positive integer divisors of 339 that completely divides 339 are.
1, 3, 113, 339
GCD of numbers is the greatest common divisor
So, the GCD (633, 996, 714, 339) = 3.
Given numbers are 633, 996, 714, 339
The list of prime factors of all numbers are
Prime factors of 633 are 3 x 211
Prime factors of 996 are 2 x 2 x 3 x 83
Prime factors of 714 are 2 x 3 x 7 x 17
Prime factors of 339 are 3 x 113
The highest common occurrence is 31
Therefore, GCD of 633, 996, 714, 339 is 3.
Given numbers are 633, 996, 714, 339
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(633, 996) = 210156
GCD(633, 996) = ( 633 x 996 ) / 210156
= 633 / 996
= 633
Step2:
LCM(3, 714) = 714
GCD(3, 714) = ( 3 x 714 ) / 714
= 3 / 714
= 3
Step3:
LCM(3, 339) = 339
GCD(3, 339) = ( 3 x 339 ) / 339
= 3 / 339
= 3
So, Greatest Common Divisor of 633, 996, 714, 339 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 633, 996, 714, 339
The greatest common divisor of numbers 633, 996, 714, 339 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 633, 996, 714, 339 is 3.
1. What is the GCD of 633, 996, 714, 339?
GCD of given numbers 633, 996, 714, 339 is 3
2. How to calculate the greatest common divisor of 633, 996, 714, 339?
We can find the highest common divisor of 633, 996, 714, 339 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 633, 996, 714, 339 i.e 3.
3. How can I use the GCD of 633, 996, 714, 339Calculator?
Out the numbers 633, 996, 714, 339 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.