Online GCD Calculator is useful to find the GCD of 465, 417, 477 quickly. Get the easiest ways to solve the greatest common divisor of 465, 417, 477 i.e 3 in different methods as follows.
Given Input numbers are 465, 417, 477
In the factoring method, we have to find the divisors of all numbers
Divisors of 465 :
The positive integer divisors of 465 that completely divides 465 are.
1, 3, 5, 15, 31, 93, 155, 465
Divisors of 417 :
The positive integer divisors of 417 that completely divides 417 are.
1, 3, 139, 417
Divisors of 477 :
The positive integer divisors of 477 that completely divides 477 are.
1, 3, 9, 53, 159, 477
GCD of numbers is the greatest common divisor
So, the GCD (465, 417, 477) = 3.
Given numbers are 465, 417, 477
The list of prime factors of all numbers are
Prime factors of 465 are 3 x 5 x 31
Prime factors of 417 are 3 x 139
Prime factors of 477 are 3 x 3 x 53
The highest common occurrence is 31
Therefore, GCD of 465, 417, 477 is 3.
Given numbers are 465, 417, 477
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(465, 417) = 64635
GCD(465, 417) = ( 465 x 417 ) / 64635
= 465 / 417
= 465
Step2:
LCM(3, 477) = 477
GCD(3, 477) = ( 3 x 477 ) / 477
= 3 / 477
= 3
So, Greatest Common Divisor of 465, 417, 477 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 465, 417, 477
The greatest common divisor of numbers 465, 417, 477 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 465, 417, 477 is 3.
1. What is the GCD of 465, 417, 477?
GCD of given numbers 465, 417, 477 is 3
2. How to calculate the greatest common divisor of 465, 417, 477?
We can find the highest common divisor of 465, 417, 477 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 465, 417, 477 i.e 3.
3. How can I use the GCD of 465, 417, 477Calculator?
Out the numbers 465, 417, 477 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.