Online GCD Calculator is useful to find the GCD of 825, 460, 984, 300 quickly. Get the easiest ways to solve the greatest common divisor of 825, 460, 984, 300 i.e 1 in different methods as follows.
Given Input numbers are 825, 460, 984, 300
In the factoring method, we have to find the divisors of all numbers
Divisors of 825 :
The positive integer divisors of 825 that completely divides 825 are.
1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
Divisors of 460 :
The positive integer divisors of 460 that completely divides 460 are.
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
Divisors of 984 :
The positive integer divisors of 984 that completely divides 984 are.
1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
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
GCD of numbers is the greatest common divisor
So, the GCD (825, 460, 984, 300) = 1.
Given numbers are 825, 460, 984, 300
The list of prime factors of all numbers are
Prime factors of 825 are 3 x 5 x 5 x 11
Prime factors of 460 are 2 x 2 x 5 x 23
Prime factors of 984 are 2 x 2 x 2 x 3 x 41
Prime factors of 300 are 2 x 2 x 3 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 825, 460, 984, 300
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(825, 460) = 75900
GCD(825, 460) = ( 825 x 460 ) / 75900
= 825 / 460
= 825
Step2:
LCM(5, 984) = 4920
GCD(5, 984) = ( 5 x 984 ) / 4920
= 5 / 984
= 5
Step3:
LCM(1, 300) = 300
GCD(1, 300) = ( 1 x 300 ) / 300
= 1 / 300
= 1
So, Greatest Common Divisor of 825, 460, 984, 300 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 825, 460, 984, 300
The greatest common divisor of numbers 825, 460, 984, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 825, 460, 984, 300 is 1.
1. What is the GCD of 825, 460, 984, 300?
GCD of given numbers 825, 460, 984, 300 is 1
2. How to calculate the greatest common divisor of 825, 460, 984, 300?
We can find the highest common divisor of 825, 460, 984, 300 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 825, 460, 984, 300 i.e 1.
3. How can I use the GCD of 825, 460, 984, 300Calculator?
Out the numbers 825, 460, 984, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.