Online GCD Calculator is useful to find the GCD of 200, 224, 584, 689 quickly. Get the easiest ways to solve the greatest common divisor of 200, 224, 584, 689 i.e 1 in different methods as follows.
Given Input numbers are 200, 224, 584, 689
In the factoring method, we have to find the divisors of all numbers
Divisors of 200 :
The positive integer divisors of 200 that completely divides 200 are.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
Divisors of 224 :
The positive integer divisors of 224 that completely divides 224 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
Divisors of 584 :
The positive integer divisors of 584 that completely divides 584 are.
1, 2, 4, 8, 73, 146, 292, 584
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 (200, 224, 584, 689) = 1.
Given numbers are 200, 224, 584, 689
The list of prime factors of all numbers are
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7
Prime factors of 584 are 2 x 2 x 2 x 73
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 200, 224, 584, 689
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(200, 224) = 5600
GCD(200, 224) = ( 200 x 224 ) / 5600
= 200 / 224
= 200
Step2:
LCM(8, 584) = 584
GCD(8, 584) = ( 8 x 584 ) / 584
= 8 / 584
= 8
Step3:
LCM(8, 689) = 5512
GCD(8, 689) = ( 8 x 689 ) / 5512
= 8 / 689
= 8
So, Greatest Common Divisor of 200, 224, 584, 689 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 200, 224, 584, 689
The greatest common divisor of numbers 200, 224, 584, 689 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 224, 584, 689 is 1.
1. What is the GCD of 200, 224, 584, 689?
GCD of given numbers 200, 224, 584, 689 is 1
2. How to calculate the greatest common divisor of 200, 224, 584, 689?
We can find the highest common divisor of 200, 224, 584, 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 200, 224, 584, 689 i.e 1.
3. How can I use the GCD of 200, 224, 584, 689Calculator?
Out the numbers 200, 224, 584, 689 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.