Online GCD Calculator is useful to find the GCD of 200, 502, 207, 731 quickly. Get the easiest ways to solve the greatest common divisor of 200, 502, 207, 731 i.e 1 in different methods as follows.
Given Input numbers are 200, 502, 207, 731
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 502 :
The positive integer divisors of 502 that completely divides 502 are.
1, 2, 251, 502
Divisors of 207 :
The positive integer divisors of 207 that completely divides 207 are.
1, 3, 9, 23, 69, 207
Divisors of 731 :
The positive integer divisors of 731 that completely divides 731 are.
1, 17, 43, 731
GCD of numbers is the greatest common divisor
So, the GCD (200, 502, 207, 731) = 1.
Given numbers are 200, 502, 207, 731
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 502 are 2 x 251
Prime factors of 207 are 3 x 3 x 23
Prime factors of 731 are 17 x 43
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 200, 502, 207, 731
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(200, 502) = 50200
GCD(200, 502) = ( 200 x 502 ) / 50200
= 200 / 502
= 200
Step2:
LCM(2, 207) = 414
GCD(2, 207) = ( 2 x 207 ) / 414
= 2 / 207
= 2
Step3:
LCM(1, 731) = 731
GCD(1, 731) = ( 1 x 731 ) / 731
= 1 / 731
= 1
So, Greatest Common Divisor of 200, 502, 207, 731 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 200, 502, 207, 731
The greatest common divisor of numbers 200, 502, 207, 731 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 502, 207, 731 is 1.
1. What is the GCD of 200, 502, 207, 731?
GCD of given numbers 200, 502, 207, 731 is 1
2. How to calculate the greatest common divisor of 200, 502, 207, 731?
We can find the highest common divisor of 200, 502, 207, 731 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, 502, 207, 731 i.e 1.
3. How can I use the GCD of 200, 502, 207, 731Calculator?
Out the numbers 200, 502, 207, 731 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.