Online GCD Calculator is useful to find the GCD of 900, 208, 312 quickly. Get the easiest ways to solve the greatest common divisor of 900, 208, 312 i.e 4 in different methods as follows.
Given Input numbers are 900, 208, 312
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 208 :
The positive integer divisors of 208 that completely divides 208 are.
1, 2, 4, 8, 13, 16, 26, 52, 104, 208
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
GCD of numbers is the greatest common divisor
So, the GCD (900, 208, 312) = 4.
Given numbers are 900, 208, 312
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 208 are 2 x 2 x 2 x 2 x 13
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
The highest common occurrence is 22
Therefore, GCD of 900, 208, 312 is 4.
Given numbers are 900, 208, 312
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(900, 208) = 46800
GCD(900, 208) = ( 900 x 208 ) / 46800
= 900 / 208
= 900
Step2:
LCM(4, 312) = 312
GCD(4, 312) = ( 4 x 312 ) / 312
= 4 / 312
= 4
So, Greatest Common Divisor of 900, 208, 312 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 900, 208, 312
The greatest common divisor of numbers 900, 208, 312 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 208, 312 is 4.
1. What is the GCD of 900, 208, 312?
GCD of given numbers 900, 208, 312 is 4
2. How to calculate the greatest common divisor of 900, 208, 312?
We can find the highest common divisor of 900, 208, 312 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, 208, 312 i.e 4.
3. How can I use the GCD of 900, 208, 312Calculator?
Out the numbers 900, 208, 312 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.