Online GCD Calculator is useful to find the GCD of 957, 393, 486, 225 quickly. Get the easiest ways to solve the greatest common divisor of 957, 393, 486, 225 i.e 3 in different methods as follows.
Given Input numbers are 957, 393, 486, 225
In the factoring method, we have to find the divisors of all numbers
Divisors of 957 :
The positive integer divisors of 957 that completely divides 957 are.
1, 3, 11, 29, 33, 87, 319, 957
Divisors of 393 :
The positive integer divisors of 393 that completely divides 393 are.
1, 3, 131, 393
Divisors of 486 :
The positive integer divisors of 486 that completely divides 486 are.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
Divisors of 225 :
The positive integer divisors of 225 that completely divides 225 are.
1, 3, 5, 9, 15, 25, 45, 75, 225
GCD of numbers is the greatest common divisor
So, the GCD (957, 393, 486, 225) = 3.
Given numbers are 957, 393, 486, 225
The list of prime factors of all numbers are
Prime factors of 957 are 3 x 11 x 29
Prime factors of 393 are 3 x 131
Prime factors of 486 are 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 225 are 3 x 3 x 5 x 5
The highest common occurrence is 31
Therefore, GCD of 957, 393, 486, 225 is 3.
Given numbers are 957, 393, 486, 225
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(957, 393) = 125367
GCD(957, 393) = ( 957 x 393 ) / 125367
= 957 / 393
= 957
Step2:
LCM(3, 486) = 486
GCD(3, 486) = ( 3 x 486 ) / 486
= 3 / 486
= 3
Step3:
LCM(3, 225) = 225
GCD(3, 225) = ( 3 x 225 ) / 225
= 3 / 225
= 3
So, Greatest Common Divisor of 957, 393, 486, 225 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 957, 393, 486, 225
The greatest common divisor of numbers 957, 393, 486, 225 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 957, 393, 486, 225 is 3.
1. What is the GCD of 957, 393, 486, 225?
GCD of given numbers 957, 393, 486, 225 is 3
2. How to calculate the greatest common divisor of 957, 393, 486, 225?
We can find the highest common divisor of 957, 393, 486, 225 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 957, 393, 486, 225 i.e 3.
3. How can I use the GCD of 957, 393, 486, 225Calculator?
Out the numbers 957, 393, 486, 225 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.