Online GCD Calculator is useful to find the GCD of 225, 846, 777 quickly. Get the easiest ways to solve the greatest common divisor of 225, 846, 777 i.e 3 in different methods as follows.
Given Input numbers are 225, 846, 777
In the factoring method, we have to find the divisors of all numbers
Divisors of 225 :
The positive integer divisors of 225 that completely divides 225 are.
1, 3, 5, 9, 15, 25, 45, 75, 225
Divisors of 846 :
The positive integer divisors of 846 that completely divides 846 are.
1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
Divisors of 777 :
The positive integer divisors of 777 that completely divides 777 are.
1, 3, 7, 21, 37, 111, 259, 777
GCD of numbers is the greatest common divisor
So, the GCD (225, 846, 777) = 3.
Given numbers are 225, 846, 777
The list of prime factors of all numbers are
Prime factors of 225 are 3 x 3 x 5 x 5
Prime factors of 846 are 2 x 3 x 3 x 47
Prime factors of 777 are 3 x 7 x 37
The highest common occurrence is 31
Therefore, GCD of 225, 846, 777 is 3.
Given numbers are 225, 846, 777
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(225, 846) = 21150
GCD(225, 846) = ( 225 x 846 ) / 21150
= 225 / 846
= 225
Step2:
LCM(9, 777) = 2331
GCD(9, 777) = ( 9 x 777 ) / 2331
= 9 / 777
= 9
So, Greatest Common Divisor of 225, 846, 777 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 225, 846, 777
The greatest common divisor of numbers 225, 846, 777 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 225, 846, 777 is 3.
1. What is the GCD of 225, 846, 777?
GCD of given numbers 225, 846, 777 is 3
2. How to calculate the greatest common divisor of 225, 846, 777?
We can find the highest common divisor of 225, 846, 777 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 225, 846, 777 i.e 3.
3. How can I use the GCD of 225, 846, 777Calculator?
Out the numbers 225, 846, 777 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.