Online GCD Calculator is useful to find the GCD of 242, 800, 306, 375 quickly. Get the easiest ways to solve the greatest common divisor of 242, 800, 306, 375 i.e 1 in different methods as follows.
Given Input numbers are 242, 800, 306, 375
In the factoring method, we have to find the divisors of all numbers
Divisors of 242 :
The positive integer divisors of 242 that completely divides 242 are.
1, 2, 11, 22, 121, 242
Divisors of 800 :
The positive integer divisors of 800 that completely divides 800 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
Divisors of 306 :
The positive integer divisors of 306 that completely divides 306 are.
1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
Divisors of 375 :
The positive integer divisors of 375 that completely divides 375 are.
1, 3, 5, 15, 25, 75, 125, 375
GCD of numbers is the greatest common divisor
So, the GCD (242, 800, 306, 375) = 1.
Given numbers are 242, 800, 306, 375
The list of prime factors of all numbers are
Prime factors of 242 are 2 x 11 x 11
Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 306 are 2 x 3 x 3 x 17
Prime factors of 375 are 3 x 5 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 242, 800, 306, 375
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(242, 800) = 96800
GCD(242, 800) = ( 242 x 800 ) / 96800
= 242 / 800
= 242
Step2:
LCM(2, 306) = 306
GCD(2, 306) = ( 2 x 306 ) / 306
= 2 / 306
= 2
Step3:
LCM(2, 375) = 750
GCD(2, 375) = ( 2 x 375 ) / 750
= 2 / 375
= 2
So, Greatest Common Divisor of 242, 800, 306, 375 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 242, 800, 306, 375
The greatest common divisor of numbers 242, 800, 306, 375 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 242, 800, 306, 375 is 1.
1. What is the GCD of 242, 800, 306, 375?
GCD of given numbers 242, 800, 306, 375 is 1
2. How to calculate the greatest common divisor of 242, 800, 306, 375?
We can find the highest common divisor of 242, 800, 306, 375 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 242, 800, 306, 375 i.e 1.
3. How can I use the GCD of 242, 800, 306, 375Calculator?
Out the numbers 242, 800, 306, 375 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.