Online GCD Calculator is useful to find the GCD of 803, 704, 561, 200 quickly. Get the easiest ways to solve the greatest common divisor of 803, 704, 561, 200 i.e 1 in different methods as follows.
Given Input numbers are 803, 704, 561, 200
In the factoring method, we have to find the divisors of all numbers
Divisors of 803 :
The positive integer divisors of 803 that completely divides 803 are.
1, 11, 73, 803
Divisors of 704 :
The positive integer divisors of 704 that completely divides 704 are.
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
Divisors of 561 :
The positive integer divisors of 561 that completely divides 561 are.
1, 3, 11, 17, 33, 51, 187, 561
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
GCD of numbers is the greatest common divisor
So, the GCD (803, 704, 561, 200) = 1.
Given numbers are 803, 704, 561, 200
The list of prime factors of all numbers are
Prime factors of 803 are 11 x 73
Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11
Prime factors of 561 are 3 x 11 x 17
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 803, 704, 561, 200
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(803, 704) = 51392
GCD(803, 704) = ( 803 x 704 ) / 51392
= 803 / 704
= 803
Step2:
LCM(11, 561) = 561
GCD(11, 561) = ( 11 x 561 ) / 561
= 11 / 561
= 11
Step3:
LCM(11, 200) = 2200
GCD(11, 200) = ( 11 x 200 ) / 2200
= 11 / 200
= 11
So, Greatest Common Divisor of 803, 704, 561, 200 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 803, 704, 561, 200
The greatest common divisor of numbers 803, 704, 561, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 803, 704, 561, 200 is 1.
1. What is the GCD of 803, 704, 561, 200?
GCD of given numbers 803, 704, 561, 200 is 1
2. How to calculate the greatest common divisor of 803, 704, 561, 200?
We can find the highest common divisor of 803, 704, 561, 200 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 803, 704, 561, 200 i.e 1.
3. How can I use the GCD of 803, 704, 561, 200Calculator?
Out the numbers 803, 704, 561, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.