Online GCD Calculator is useful to find the GCD of 200, 622, 431, 680 quickly. Get the easiest ways to solve the greatest common divisor of 200, 622, 431, 680 i.e 1 in different methods as follows.
Given Input numbers are 200, 622, 431, 680
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 622 :
The positive integer divisors of 622 that completely divides 622 are.
1, 2, 311, 622
Divisors of 431 :
The positive integer divisors of 431 that completely divides 431 are.
1, 431
Divisors of 680 :
The positive integer divisors of 680 that completely divides 680 are.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
GCD of numbers is the greatest common divisor
So, the GCD (200, 622, 431, 680) = 1.
Given numbers are 200, 622, 431, 680
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 622 are 2 x 311
Prime factors of 431 are 431
Prime factors of 680 are 2 x 2 x 2 x 5 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 200, 622, 431, 680
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(200, 622) = 62200
GCD(200, 622) = ( 200 x 622 ) / 62200
= 200 / 622
= 200
Step2:
LCM(2, 431) = 862
GCD(2, 431) = ( 2 x 431 ) / 862
= 2 / 431
= 2
Step3:
LCM(1, 680) = 680
GCD(1, 680) = ( 1 x 680 ) / 680
= 1 / 680
= 1
So, Greatest Common Divisor of 200, 622, 431, 680 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 200, 622, 431, 680
The greatest common divisor of numbers 200, 622, 431, 680 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 622, 431, 680 is 1.
1. What is the GCD of 200, 622, 431, 680?
GCD of given numbers 200, 622, 431, 680 is 1
2. How to calculate the greatest common divisor of 200, 622, 431, 680?
We can find the highest common divisor of 200, 622, 431, 680 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, 622, 431, 680 i.e 1.
3. How can I use the GCD of 200, 622, 431, 680Calculator?
Out the numbers 200, 622, 431, 680 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.