Online GCD Calculator is useful to find the GCD of 900, 504, 914, 422 quickly. Get the easiest ways to solve the greatest common divisor of 900, 504, 914, 422 i.e 2 in different methods as follows.
Given Input numbers are 900, 504, 914, 422
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 504 :
The positive integer divisors of 504 that completely divides 504 are.
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
Divisors of 914 :
The positive integer divisors of 914 that completely divides 914 are.
1, 2, 457, 914
Divisors of 422 :
The positive integer divisors of 422 that completely divides 422 are.
1, 2, 211, 422
GCD of numbers is the greatest common divisor
So, the GCD (900, 504, 914, 422) = 2.
Given numbers are 900, 504, 914, 422
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 504 are 2 x 2 x 2 x 3 x 3 x 7
Prime factors of 914 are 2 x 457
Prime factors of 422 are 2 x 211
The highest common occurrence is 21
Therefore, GCD of 900, 504, 914, 422 is 2.
Given numbers are 900, 504, 914, 422
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(900, 504) = 12600
GCD(900, 504) = ( 900 x 504 ) / 12600
= 900 / 504
= 900
Step2:
LCM(36, 914) = 16452
GCD(36, 914) = ( 36 x 914 ) / 16452
= 36 / 914
= 36
Step3:
LCM(2, 422) = 422
GCD(2, 422) = ( 2 x 422 ) / 422
= 2 / 422
= 2
So, Greatest Common Divisor of 900, 504, 914, 422 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 900, 504, 914, 422
The greatest common divisor of numbers 900, 504, 914, 422 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 504, 914, 422 is 2.
1. What is the GCD of 900, 504, 914, 422?
GCD of given numbers 900, 504, 914, 422 is 2
2. How to calculate the greatest common divisor of 900, 504, 914, 422?
We can find the highest common divisor of 900, 504, 914, 422 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, 504, 914, 422 i.e 2.
3. How can I use the GCD of 900, 504, 914, 422Calculator?
Out the numbers 900, 504, 914, 422 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.