Online GCD Calculator is useful to find the GCD of 209, 731, 148, 200 quickly. Get the easiest ways to solve the greatest common divisor of 209, 731, 148, 200 i.e 1 in different methods as follows.
Given Input numbers are 209, 731, 148, 200
In the factoring method, we have to find the divisors of all numbers
Divisors of 209 :
The positive integer divisors of 209 that completely divides 209 are.
1, 11, 19, 209
Divisors of 731 :
The positive integer divisors of 731 that completely divides 731 are.
1, 17, 43, 731
Divisors of 148 :
The positive integer divisors of 148 that completely divides 148 are.
1, 2, 4, 37, 74, 148
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 (209, 731, 148, 200) = 1.
Given numbers are 209, 731, 148, 200
The list of prime factors of all numbers are
Prime factors of 209 are 11 x 19
Prime factors of 731 are 17 x 43
Prime factors of 148 are 2 x 2 x 37
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 209, 731, 148, 200
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(209, 731) = 152779
GCD(209, 731) = ( 209 x 731 ) / 152779
= 209 / 731
= 209
Step2:
LCM(1, 148) = 148
GCD(1, 148) = ( 1 x 148 ) / 148
= 1 / 148
= 1
Step3:
LCM(1, 200) = 200
GCD(1, 200) = ( 1 x 200 ) / 200
= 1 / 200
= 1
So, Greatest Common Divisor of 209, 731, 148, 200 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 209, 731, 148, 200
The greatest common divisor of numbers 209, 731, 148, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 209, 731, 148, 200 is 1.
1. What is the GCD of 209, 731, 148, 200?
GCD of given numbers 209, 731, 148, 200 is 1
2. How to calculate the greatest common divisor of 209, 731, 148, 200?
We can find the highest common divisor of 209, 731, 148, 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 209, 731, 148, 200 i.e 1.
3. How can I use the GCD of 209, 731, 148, 200Calculator?
Out the numbers 209, 731, 148, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.