Online GCD Calculator is useful to find the GCD of 696, 569, 646, 200 quickly. Get the easiest ways to solve the greatest common divisor of 696, 569, 646, 200 i.e 1 in different methods as follows.
Given Input numbers are 696, 569, 646, 200
In the factoring method, we have to find the divisors of all numbers
Divisors of 696 :
The positive integer divisors of 696 that completely divides 696 are.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
Divisors of 569 :
The positive integer divisors of 569 that completely divides 569 are.
1, 569
Divisors of 646 :
The positive integer divisors of 646 that completely divides 646 are.
1, 2, 17, 19, 34, 38, 323, 646
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 (696, 569, 646, 200) = 1.
Given numbers are 696, 569, 646, 200
The list of prime factors of all numbers are
Prime factors of 696 are 2 x 2 x 2 x 3 x 29
Prime factors of 569 are 569
Prime factors of 646 are 2 x 17 x 19
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 696, 569, 646, 200
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(696, 569) = 396024
GCD(696, 569) = ( 696 x 569 ) / 396024
= 696 / 569
= 696
Step2:
LCM(1, 646) = 646
GCD(1, 646) = ( 1 x 646 ) / 646
= 1 / 646
= 1
Step3:
LCM(1, 200) = 200
GCD(1, 200) = ( 1 x 200 ) / 200
= 1 / 200
= 1
So, Greatest Common Divisor of 696, 569, 646, 200 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 696, 569, 646, 200
The greatest common divisor of numbers 696, 569, 646, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 696, 569, 646, 200 is 1.
1. What is the GCD of 696, 569, 646, 200?
GCD of given numbers 696, 569, 646, 200 is 1
2. How to calculate the greatest common divisor of 696, 569, 646, 200?
We can find the highest common divisor of 696, 569, 646, 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 696, 569, 646, 200 i.e 1.
3. How can I use the GCD of 696, 569, 646, 200Calculator?
Out the numbers 696, 569, 646, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.