Online GCD Calculator is useful to find the GCD of 477, 981, 465, 165 quickly. Get the easiest ways to solve the greatest common divisor of 477, 981, 465, 165 i.e 3 in different methods as follows.
Given Input numbers are 477, 981, 465, 165
In the factoring method, we have to find the divisors of all numbers
Divisors of 477 :
The positive integer divisors of 477 that completely divides 477 are.
1, 3, 9, 53, 159, 477
Divisors of 981 :
The positive integer divisors of 981 that completely divides 981 are.
1, 3, 9, 109, 327, 981
Divisors of 465 :
The positive integer divisors of 465 that completely divides 465 are.
1, 3, 5, 15, 31, 93, 155, 465
Divisors of 165 :
The positive integer divisors of 165 that completely divides 165 are.
1, 3, 5, 11, 15, 33, 55, 165
GCD of numbers is the greatest common divisor
So, the GCD (477, 981, 465, 165) = 3.
Given numbers are 477, 981, 465, 165
The list of prime factors of all numbers are
Prime factors of 477 are 3 x 3 x 53
Prime factors of 981 are 3 x 3 x 109
Prime factors of 465 are 3 x 5 x 31
Prime factors of 165 are 3 x 5 x 11
The highest common occurrence is 31
Therefore, GCD of 477, 981, 465, 165 is 3.
Given numbers are 477, 981, 465, 165
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(477, 981) = 51993
GCD(477, 981) = ( 477 x 981 ) / 51993
= 477 / 981
= 477
Step2:
LCM(9, 465) = 1395
GCD(9, 465) = ( 9 x 465 ) / 1395
= 9 / 465
= 9
Step3:
LCM(3, 165) = 165
GCD(3, 165) = ( 3 x 165 ) / 165
= 3 / 165
= 3
So, Greatest Common Divisor of 477, 981, 465, 165 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 477, 981, 465, 165
The greatest common divisor of numbers 477, 981, 465, 165 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 477, 981, 465, 165 is 3.
1. What is the GCD of 477, 981, 465, 165?
GCD of given numbers 477, 981, 465, 165 is 3
2. How to calculate the greatest common divisor of 477, 981, 465, 165?
We can find the highest common divisor of 477, 981, 465, 165 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 477, 981, 465, 165 i.e 3.
3. How can I use the GCD of 477, 981, 465, 165Calculator?
Out the numbers 477, 981, 465, 165 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.