Online GCD Calculator is useful to find the GCD of 303, 276, 698, 200 quickly. Get the easiest ways to solve the greatest common divisor of 303, 276, 698, 200 i.e 1 in different methods as follows.
Given Input numbers are 303, 276, 698, 200
In the factoring method, we have to find the divisors of all numbers
Divisors of 303 :
The positive integer divisors of 303 that completely divides 303 are.
1, 3, 101, 303
Divisors of 276 :
The positive integer divisors of 276 that completely divides 276 are.
1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
Divisors of 698 :
The positive integer divisors of 698 that completely divides 698 are.
1, 2, 349, 698
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 (303, 276, 698, 200) = 1.
Given numbers are 303, 276, 698, 200
The list of prime factors of all numbers are
Prime factors of 303 are 3 x 101
Prime factors of 276 are 2 x 2 x 3 x 23
Prime factors of 698 are 2 x 349
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 303, 276, 698, 200
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(303, 276) = 27876
GCD(303, 276) = ( 303 x 276 ) / 27876
= 303 / 276
= 303
Step2:
LCM(3, 698) = 2094
GCD(3, 698) = ( 3 x 698 ) / 2094
= 3 / 698
= 3
Step3:
LCM(1, 200) = 200
GCD(1, 200) = ( 1 x 200 ) / 200
= 1 / 200
= 1
So, Greatest Common Divisor of 303, 276, 698, 200 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 303, 276, 698, 200
The greatest common divisor of numbers 303, 276, 698, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 303, 276, 698, 200 is 1.
1. What is the GCD of 303, 276, 698, 200?
GCD of given numbers 303, 276, 698, 200 is 1
2. How to calculate the greatest common divisor of 303, 276, 698, 200?
We can find the highest common divisor of 303, 276, 698, 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 303, 276, 698, 200 i.e 1.
3. How can I use the GCD of 303, 276, 698, 200Calculator?
Out the numbers 303, 276, 698, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.