Online GCD Calculator is useful to find the GCD of 267, 200, 699, 998 quickly. Get the easiest ways to solve the greatest common divisor of 267, 200, 699, 998 i.e 1 in different methods as follows.
Given Input numbers are 267, 200, 699, 998
In the factoring method, we have to find the divisors of all numbers
Divisors of 267 :
The positive integer divisors of 267 that completely divides 267 are.
1, 3, 89, 267
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 699 :
The positive integer divisors of 699 that completely divides 699 are.
1, 3, 233, 699
Divisors of 998 :
The positive integer divisors of 998 that completely divides 998 are.
1, 2, 499, 998
GCD of numbers is the greatest common divisor
So, the GCD (267, 200, 699, 998) = 1.
Given numbers are 267, 200, 699, 998
The list of prime factors of all numbers are
Prime factors of 267 are 3 x 89
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
Prime factors of 699 are 3 x 233
Prime factors of 998 are 2 x 499
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 267, 200, 699, 998
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(267, 200) = 53400
GCD(267, 200) = ( 267 x 200 ) / 53400
= 267 / 200
= 267
Step2:
LCM(1, 699) = 699
GCD(1, 699) = ( 1 x 699 ) / 699
= 1 / 699
= 1
Step3:
LCM(1, 998) = 998
GCD(1, 998) = ( 1 x 998 ) / 998
= 1 / 998
= 1
So, Greatest Common Divisor of 267, 200, 699, 998 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 267, 200, 699, 998
The greatest common divisor of numbers 267, 200, 699, 998 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 267, 200, 699, 998 is 1.
1. What is the GCD of 267, 200, 699, 998?
GCD of given numbers 267, 200, 699, 998 is 1
2. How to calculate the greatest common divisor of 267, 200, 699, 998?
We can find the highest common divisor of 267, 200, 699, 998 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 267, 200, 699, 998 i.e 1.
3. How can I use the GCD of 267, 200, 699, 998Calculator?
Out the numbers 267, 200, 699, 998 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.