Online GCD Calculator is useful to find the GCD of 900, 984, 890, 370 quickly. Get the easiest ways to solve the greatest common divisor of 900, 984, 890, 370 i.e 2 in different methods as follows.
Given Input numbers are 900, 984, 890, 370
In the factoring method, we have to find the divisors of all numbers
Divisors of 900 :
The positive integer divisors of 900 that completely divides 900 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
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 890 :
The positive integer divisors of 890 that completely divides 890 are.
1, 2, 5, 10, 89, 178, 445, 890
Divisors of 370 :
The positive integer divisors of 370 that completely divides 370 are.
1, 2, 5, 10, 37, 74, 185, 370
GCD of numbers is the greatest common divisor
So, the GCD (900, 984, 890, 370) = 2.
Given numbers are 900, 984, 890, 370
The list of prime factors of all numbers are
Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5
Prime factors of 984 are 2 x 2 x 2 x 3 x 41
Prime factors of 890 are 2 x 5 x 89
Prime factors of 370 are 2 x 5 x 37
The highest common occurrence is 21
Therefore, GCD of 900, 984, 890, 370 is 2.
Given numbers are 900, 984, 890, 370
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(900, 984) = 73800
GCD(900, 984) = ( 900 x 984 ) / 73800
= 900 / 984
= 900
Step2:
LCM(12, 890) = 5340
GCD(12, 890) = ( 12 x 890 ) / 5340
= 12 / 890
= 12
Step3:
LCM(2, 370) = 370
GCD(2, 370) = ( 2 x 370 ) / 370
= 2 / 370
= 2
So, Greatest Common Divisor of 900, 984, 890, 370 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 900, 984, 890, 370
The greatest common divisor of numbers 900, 984, 890, 370 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 984, 890, 370 is 2.
1. What is the GCD of 900, 984, 890, 370?
GCD of given numbers 900, 984, 890, 370 is 2
2. How to calculate the greatest common divisor of 900, 984, 890, 370?
We can find the highest common divisor of 900, 984, 890, 370 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 900, 984, 890, 370 i.e 2.
3. How can I use the GCD of 900, 984, 890, 370Calculator?
Out the numbers 900, 984, 890, 370 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.