Online GCD Calculator is useful to find the GCD of 900, 972, 369 quickly. Get the easiest ways to solve the greatest common divisor of 900, 972, 369 i.e 9 in different methods as follows.
Given Input numbers are 900, 972, 369
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 972 :
The positive integer divisors of 972 that completely divides 972 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
Divisors of 369 :
The positive integer divisors of 369 that completely divides 369 are.
1, 3, 9, 41, 123, 369
GCD of numbers is the greatest common divisor
So, the GCD (900, 972, 369) = 9.
Given numbers are 900, 972, 369
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 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 369 are 3 x 3 x 41
The highest common occurrence is 32
Therefore, GCD of 900, 972, 369 is 9.
Given numbers are 900, 972, 369
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(900, 972) = 24300
GCD(900, 972) = ( 900 x 972 ) / 24300
= 900 / 972
= 900
Step2:
LCM(36, 369) = 1476
GCD(36, 369) = ( 36 x 369 ) / 1476
= 36 / 369
= 36
So, Greatest Common Divisor of 900, 972, 369 is 9
Here are some samples of GCD of Numbers calculations.
Given numbers are 900, 972, 369
The greatest common divisor of numbers 900, 972, 369 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 972, 369 is 9.
1. What is the GCD of 900, 972, 369?
GCD of given numbers 900, 972, 369 is 9
2. How to calculate the greatest common divisor of 900, 972, 369?
We can find the highest common divisor of 900, 972, 369 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, 972, 369 i.e 9.
3. How can I use the GCD of 900, 972, 369Calculator?
Out the numbers 900, 972, 369 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.