Online GCD Calculator is useful to find the GCD of 621, 900, 492 quickly. Get the easiest ways to solve the greatest common divisor of 621, 900, 492 i.e 3 in different methods as follows.
Given Input numbers are 621, 900, 492
In the factoring method, we have to find the divisors of all numbers
Divisors of 621 :
The positive integer divisors of 621 that completely divides 621 are.
1, 3, 9, 23, 27, 69, 207, 621
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 492 :
The positive integer divisors of 492 that completely divides 492 are.
1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
GCD of numbers is the greatest common divisor
So, the GCD (621, 900, 492) = 3.
Given numbers are 621, 900, 492
The list of prime factors of all numbers are
Prime factors of 621 are 3 x 3 x 3 x 23
Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5
Prime factors of 492 are 2 x 2 x 3 x 41
The highest common occurrence is 31
Therefore, GCD of 621, 900, 492 is 3.
Given numbers are 621, 900, 492
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(621, 900) = 62100
GCD(621, 900) = ( 621 x 900 ) / 62100
= 621 / 900
= 621
Step2:
LCM(9, 492) = 1476
GCD(9, 492) = ( 9 x 492 ) / 1476
= 9 / 492
= 9
So, Greatest Common Divisor of 621, 900, 492 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 621, 900, 492
The greatest common divisor of numbers 621, 900, 492 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 621, 900, 492 is 3.
1. What is the GCD of 621, 900, 492?
GCD of given numbers 621, 900, 492 is 3
2. How to calculate the greatest common divisor of 621, 900, 492?
We can find the highest common divisor of 621, 900, 492 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 621, 900, 492 i.e 3.
3. How can I use the GCD of 621, 900, 492Calculator?
Out the numbers 621, 900, 492 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.