Online GCD Calculator is useful to find the GCD of 584, 350, 200, 693 quickly. Get the easiest ways to solve the greatest common divisor of 584, 350, 200, 693 i.e 1 in different methods as follows.
Given Input numbers are 584, 350, 200, 693
In the factoring method, we have to find the divisors of all numbers
Divisors of 584 :
The positive integer divisors of 584 that completely divides 584 are.
1, 2, 4, 8, 73, 146, 292, 584
Divisors of 350 :
The positive integer divisors of 350 that completely divides 350 are.
1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
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 693 :
The positive integer divisors of 693 that completely divides 693 are.
1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
GCD of numbers is the greatest common divisor
So, the GCD (584, 350, 200, 693) = 1.
Given numbers are 584, 350, 200, 693
The list of prime factors of all numbers are
Prime factors of 584 are 2 x 2 x 2 x 73
Prime factors of 350 are 2 x 5 x 5 x 7
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
Prime factors of 693 are 3 x 3 x 7 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 584, 350, 200, 693
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(584, 350) = 102200
GCD(584, 350) = ( 584 x 350 ) / 102200
= 584 / 350
= 584
Step2:
LCM(2, 200) = 200
GCD(2, 200) = ( 2 x 200 ) / 200
= 2 / 200
= 2
Step3:
LCM(2, 693) = 1386
GCD(2, 693) = ( 2 x 693 ) / 1386
= 2 / 693
= 2
So, Greatest Common Divisor of 584, 350, 200, 693 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 584, 350, 200, 693
The greatest common divisor of numbers 584, 350, 200, 693 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 584, 350, 200, 693 is 1.
1. What is the GCD of 584, 350, 200, 693?
GCD of given numbers 584, 350, 200, 693 is 1
2. How to calculate the greatest common divisor of 584, 350, 200, 693?
We can find the highest common divisor of 584, 350, 200, 693 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 584, 350, 200, 693 i.e 1.
3. How can I use the GCD of 584, 350, 200, 693Calculator?
Out the numbers 584, 350, 200, 693 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.