Online GCD Calculator is useful to find the GCD of 300, 312, 123, 874 quickly. Get the easiest ways to solve the greatest common divisor of 300, 312, 123, 874 i.e 1 in different methods as follows.
Given Input numbers are 300, 312, 123, 874
In the factoring method, we have to find the divisors of all numbers
Divisors of 300 :
The positive integer divisors of 300 that completely divides 300 are.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
Divisors of 312 :
The positive integer divisors of 312 that completely divides 312 are.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
Divisors of 123 :
The positive integer divisors of 123 that completely divides 123 are.
1, 3, 41, 123
Divisors of 874 :
The positive integer divisors of 874 that completely divides 874 are.
1, 2, 19, 23, 38, 46, 437, 874
GCD of numbers is the greatest common divisor
So, the GCD (300, 312, 123, 874) = 1.
Given numbers are 300, 312, 123, 874
The list of prime factors of all numbers are
Prime factors of 300 are 2 x 2 x 3 x 5 x 5
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
Prime factors of 123 are 3 x 41
Prime factors of 874 are 2 x 19 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 300, 312, 123, 874
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(300, 312) = 7800
GCD(300, 312) = ( 300 x 312 ) / 7800
= 300 / 312
= 300
Step2:
LCM(12, 123) = 492
GCD(12, 123) = ( 12 x 123 ) / 492
= 12 / 123
= 12
Step3:
LCM(3, 874) = 2622
GCD(3, 874) = ( 3 x 874 ) / 2622
= 3 / 874
= 3
So, Greatest Common Divisor of 300, 312, 123, 874 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 300, 312, 123, 874
The greatest common divisor of numbers 300, 312, 123, 874 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 300, 312, 123, 874 is 1.
1. What is the GCD of 300, 312, 123, 874?
GCD of given numbers 300, 312, 123, 874 is 1
2. How to calculate the greatest common divisor of 300, 312, 123, 874?
We can find the highest common divisor of 300, 312, 123, 874 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 300, 312, 123, 874 i.e 1.
3. How can I use the GCD of 300, 312, 123, 874Calculator?
Out the numbers 300, 312, 123, 874 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.