Online GCD Calculator is useful to find the GCD of 447, 387, 252, 765 quickly. Get the easiest ways to solve the greatest common divisor of 447, 387, 252, 765 i.e 3 in different methods as follows.
Given Input numbers are 447, 387, 252, 765
In the factoring method, we have to find the divisors of all numbers
Divisors of 447 :
The positive integer divisors of 447 that completely divides 447 are.
1, 3, 149, 447
Divisors of 387 :
The positive integer divisors of 387 that completely divides 387 are.
1, 3, 9, 43, 129, 387
Divisors of 252 :
The positive integer divisors of 252 that completely divides 252 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
Divisors of 765 :
The positive integer divisors of 765 that completely divides 765 are.
1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
GCD of numbers is the greatest common divisor
So, the GCD (447, 387, 252, 765) = 3.
Given numbers are 447, 387, 252, 765
The list of prime factors of all numbers are
Prime factors of 447 are 3 x 149
Prime factors of 387 are 3 x 3 x 43
Prime factors of 252 are 2 x 2 x 3 x 3 x 7
Prime factors of 765 are 3 x 3 x 5 x 17
The highest common occurrence is 31
Therefore, GCD of 447, 387, 252, 765 is 3.
Given numbers are 447, 387, 252, 765
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(447, 387) = 57663
GCD(447, 387) = ( 447 x 387 ) / 57663
= 447 / 387
= 447
Step2:
LCM(3, 252) = 252
GCD(3, 252) = ( 3 x 252 ) / 252
= 3 / 252
= 3
Step3:
LCM(3, 765) = 765
GCD(3, 765) = ( 3 x 765 ) / 765
= 3 / 765
= 3
So, Greatest Common Divisor of 447, 387, 252, 765 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 447, 387, 252, 765
The greatest common divisor of numbers 447, 387, 252, 765 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 447, 387, 252, 765 is 3.
1. What is the GCD of 447, 387, 252, 765?
GCD of given numbers 447, 387, 252, 765 is 3
2. How to calculate the greatest common divisor of 447, 387, 252, 765?
We can find the highest common divisor of 447, 387, 252, 765 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 447, 387, 252, 765 i.e 3.
3. How can I use the GCD of 447, 387, 252, 765Calculator?
Out the numbers 447, 387, 252, 765 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.