Online GCD Calculator is useful to find the GCD of 200, 629, 505, 688 quickly. Get the easiest ways to solve the greatest common divisor of 200, 629, 505, 688 i.e 1 in different methods as follows.
Given Input numbers are 200, 629, 505, 688
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 629 :
The positive integer divisors of 629 that completely divides 629 are.
1, 17, 37, 629
Divisors of 505 :
The positive integer divisors of 505 that completely divides 505 are.
1, 5, 101, 505
Divisors of 688 :
The positive integer divisors of 688 that completely divides 688 are.
1, 2, 4, 8, 16, 43, 86, 172, 344, 688
GCD of numbers is the greatest common divisor
So, the GCD (200, 629, 505, 688) = 1.
Given numbers are 200, 629, 505, 688
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 629 are 17 x 37
Prime factors of 505 are 5 x 101
Prime factors of 688 are 2 x 2 x 2 x 2 x 43
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 200, 629, 505, 688
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(200, 629) = 125800
GCD(200, 629) = ( 200 x 629 ) / 125800
= 200 / 629
= 200
Step2:
LCM(1, 505) = 505
GCD(1, 505) = ( 1 x 505 ) / 505
= 1 / 505
= 1
Step3:
LCM(1, 688) = 688
GCD(1, 688) = ( 1 x 688 ) / 688
= 1 / 688
= 1
So, Greatest Common Divisor of 200, 629, 505, 688 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 200, 629, 505, 688
The greatest common divisor of numbers 200, 629, 505, 688 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 629, 505, 688 is 1.
1. What is the GCD of 200, 629, 505, 688?
GCD of given numbers 200, 629, 505, 688 is 1
2. How to calculate the greatest common divisor of 200, 629, 505, 688?
We can find the highest common divisor of 200, 629, 505, 688 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, 629, 505, 688 i.e 1.
3. How can I use the GCD of 200, 629, 505, 688Calculator?
Out the numbers 200, 629, 505, 688 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.