Online GCD Calculator is useful to find the GCD of 630, 450, 606, 723 quickly. Get the easiest ways to solve the greatest common divisor of 630, 450, 606, 723 i.e 3 in different methods as follows.
Given Input numbers are 630, 450, 606, 723
In the factoring method, we have to find the divisors of all numbers
Divisors of 630 :
The positive integer divisors of 630 that completely divides 630 are.
1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
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 606 :
The positive integer divisors of 606 that completely divides 606 are.
1, 2, 3, 6, 101, 202, 303, 606
Divisors of 723 :
The positive integer divisors of 723 that completely divides 723 are.
1, 3, 241, 723
GCD of numbers is the greatest common divisor
So, the GCD (630, 450, 606, 723) = 3.
Given numbers are 630, 450, 606, 723
The list of prime factors of all numbers are
Prime factors of 630 are 2 x 3 x 3 x 5 x 7
Prime factors of 450 are 2 x 3 x 3 x 5 x 5
Prime factors of 606 are 2 x 3 x 101
Prime factors of 723 are 3 x 241
The highest common occurrence is 31
Therefore, GCD of 630, 450, 606, 723 is 3.
Given numbers are 630, 450, 606, 723
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(630, 450) = 3150
GCD(630, 450) = ( 630 x 450 ) / 3150
= 630 / 450
= 630
Step2:
LCM(90, 606) = 9090
GCD(90, 606) = ( 90 x 606 ) / 9090
= 90 / 606
= 90
Step3:
LCM(6, 723) = 1446
GCD(6, 723) = ( 6 x 723 ) / 1446
= 6 / 723
= 6
So, Greatest Common Divisor of 630, 450, 606, 723 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 630, 450, 606, 723
The greatest common divisor of numbers 630, 450, 606, 723 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 630, 450, 606, 723 is 3.
1. What is the GCD of 630, 450, 606, 723?
GCD of given numbers 630, 450, 606, 723 is 3
2. How to calculate the greatest common divisor of 630, 450, 606, 723?
We can find the highest common divisor of 630, 450, 606, 723 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 630, 450, 606, 723 i.e 3.
3. How can I use the GCD of 630, 450, 606, 723Calculator?
Out the numbers 630, 450, 606, 723 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.