Online GCD Calculator is useful to find the GCD of 684, 738, 450, 669 quickly. Get the easiest ways to solve the greatest common divisor of 684, 738, 450, 669 i.e 3 in different methods as follows.
Given Input numbers are 684, 738, 450, 669
In the factoring method, we have to find the divisors of all numbers
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 738 :
The positive integer divisors of 738 that completely divides 738 are.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
Divisors of 450 :
The positive integer divisors of 450 that completely divides 450 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
Divisors of 669 :
The positive integer divisors of 669 that completely divides 669 are.
1, 3, 223, 669
GCD of numbers is the greatest common divisor
So, the GCD (684, 738, 450, 669) = 3.
Given numbers are 684, 738, 450, 669
The list of prime factors of all numbers are
Prime factors of 684 are 2 x 2 x 3 x 3 x 19
Prime factors of 738 are 2 x 3 x 3 x 41
Prime factors of 450 are 2 x 3 x 3 x 5 x 5
Prime factors of 669 are 3 x 223
The highest common occurrence is 31
Therefore, GCD of 684, 738, 450, 669 is 3.
Given numbers are 684, 738, 450, 669
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(684, 738) = 28044
GCD(684, 738) = ( 684 x 738 ) / 28044
= 684 / 738
= 684
Step2:
LCM(18, 450) = 450
GCD(18, 450) = ( 18 x 450 ) / 450
= 18 / 450
= 18
Step3:
LCM(18, 669) = 4014
GCD(18, 669) = ( 18 x 669 ) / 4014
= 18 / 669
= 18
So, Greatest Common Divisor of 684, 738, 450, 669 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 684, 738, 450, 669
The greatest common divisor of numbers 684, 738, 450, 669 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 684, 738, 450, 669 is 3.
1. What is the GCD of 684, 738, 450, 669?
GCD of given numbers 684, 738, 450, 669 is 3
2. How to calculate the greatest common divisor of 684, 738, 450, 669?
We can find the highest common divisor of 684, 738, 450, 669 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 684, 738, 450, 669 i.e 3.
3. How can I use the GCD of 684, 738, 450, 669Calculator?
Out the numbers 684, 738, 450, 669 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.