Online GCD Calculator is useful to find the GCD of 753, 993, 684, 444 quickly. Get the easiest ways to solve the greatest common divisor of 753, 993, 684, 444 i.e 3 in different methods as follows.
Given Input numbers are 753, 993, 684, 444
In the factoring method, we have to find the divisors of all numbers
Divisors of 753 :
The positive integer divisors of 753 that completely divides 753 are.
1, 3, 251, 753
Divisors of 993 :
The positive integer divisors of 993 that completely divides 993 are.
1, 3, 331, 993
Divisors of 684 :
The positive integer divisors of 684 that completely divides 684 are.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
Divisors of 444 :
The positive integer divisors of 444 that completely divides 444 are.
1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
GCD of numbers is the greatest common divisor
So, the GCD (753, 993, 684, 444) = 3.
Given numbers are 753, 993, 684, 444
The list of prime factors of all numbers are
Prime factors of 753 are 3 x 251
Prime factors of 993 are 3 x 331
Prime factors of 684 are 2 x 2 x 3 x 3 x 19
Prime factors of 444 are 2 x 2 x 3 x 37
The highest common occurrence is 31
Therefore, GCD of 753, 993, 684, 444 is 3.
Given numbers are 753, 993, 684, 444
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(753, 993) = 249243
GCD(753, 993) = ( 753 x 993 ) / 249243
= 753 / 993
= 753
Step2:
LCM(3, 684) = 684
GCD(3, 684) = ( 3 x 684 ) / 684
= 3 / 684
= 3
Step3:
LCM(3, 444) = 444
GCD(3, 444) = ( 3 x 444 ) / 444
= 3 / 444
= 3
So, Greatest Common Divisor of 753, 993, 684, 444 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 753, 993, 684, 444
The greatest common divisor of numbers 753, 993, 684, 444 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 753, 993, 684, 444 is 3.
1. What is the GCD of 753, 993, 684, 444?
GCD of given numbers 753, 993, 684, 444 is 3
2. How to calculate the greatest common divisor of 753, 993, 684, 444?
We can find the highest common divisor of 753, 993, 684, 444 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 753, 993, 684, 444 i.e 3.
3. How can I use the GCD of 753, 993, 684, 444Calculator?
Out the numbers 753, 993, 684, 444 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.