Online GCD Calculator is useful to find the GCD of 492, 787, 900 quickly. Get the easiest ways to solve the greatest common divisor of 492, 787, 900 i.e 1 in different methods as follows.
Given Input numbers are 492, 787, 900
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 787 :
The positive integer divisors of 787 that completely divides 787 are.
1, 787
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
GCD of numbers is the greatest common divisor
So, the GCD (492, 787, 900) = 1.
Given numbers are 492, 787, 900
The list of prime factors of all numbers are
Prime factors of 492 are 2 x 2 x 3 x 41
Prime factors of 787 are 787
Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 492, 787, 900
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(492, 787) = 387204
GCD(492, 787) = ( 492 x 787 ) / 387204
= 492 / 787
= 492
Step2:
LCM(1, 900) = 900
GCD(1, 900) = ( 1 x 900 ) / 900
= 1 / 900
= 1
So, Greatest Common Divisor of 492, 787, 900 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 492, 787, 900
The greatest common divisor of numbers 492, 787, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 492, 787, 900 is 1.
1. What is the GCD of 492, 787, 900?
GCD of given numbers 492, 787, 900 is 1
2. How to calculate the greatest common divisor of 492, 787, 900?
We can find the highest common divisor of 492, 787, 900 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 492, 787, 900 i.e 1.
3. How can I use the GCD of 492, 787, 900Calculator?
Out the numbers 492, 787, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.