Online GCD Calculator is useful to find the GCD of 722, 450, 600, 689 quickly. Get the easiest ways to solve the greatest common divisor of 722, 450, 600, 689 i.e 1 in different methods as follows.
Given Input numbers are 722, 450, 600, 689
In the factoring method, we have to find the divisors of all numbers
Divisors of 722 :
The positive integer divisors of 722 that completely divides 722 are.
1, 2, 19, 38, 361, 722
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 600 :
The positive integer divisors of 600 that completely divides 600 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Divisors of 689 :
The positive integer divisors of 689 that completely divides 689 are.
1, 13, 53, 689
GCD of numbers is the greatest common divisor
So, the GCD (722, 450, 600, 689) = 1.
Given numbers are 722, 450, 600, 689
The list of prime factors of all numbers are
Prime factors of 722 are 2 x 19 x 19
Prime factors of 450 are 2 x 3 x 3 x 5 x 5
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
Prime factors of 689 are 13 x 53
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 722, 450, 600, 689
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(722, 450) = 162450
GCD(722, 450) = ( 722 x 450 ) / 162450
= 722 / 450
= 722
Step2:
LCM(2, 600) = 600
GCD(2, 600) = ( 2 x 600 ) / 600
= 2 / 600
= 2
Step3:
LCM(2, 689) = 1378
GCD(2, 689) = ( 2 x 689 ) / 1378
= 2 / 689
= 2
So, Greatest Common Divisor of 722, 450, 600, 689 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 722, 450, 600, 689
The greatest common divisor of numbers 722, 450, 600, 689 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 722, 450, 600, 689 is 1.
1. What is the GCD of 722, 450, 600, 689?
GCD of given numbers 722, 450, 600, 689 is 1
2. How to calculate the greatest common divisor of 722, 450, 600, 689?
We can find the highest common divisor of 722, 450, 600, 689 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 722, 450, 600, 689 i.e 1.
3. How can I use the GCD of 722, 450, 600, 689Calculator?
Out the numbers 722, 450, 600, 689 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.