Online GCD Calculator is useful to find the GCD of 465, 759, 183, 441 quickly. Get the easiest ways to solve the greatest common divisor of 465, 759, 183, 441 i.e 3 in different methods as follows.
Given Input numbers are 465, 759, 183, 441
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 759 :
The positive integer divisors of 759 that completely divides 759 are.
1, 3, 11, 23, 33, 69, 253, 759
Divisors of 183 :
The positive integer divisors of 183 that completely divides 183 are.
1, 3, 61, 183
Divisors of 441 :
The positive integer divisors of 441 that completely divides 441 are.
1, 3, 7, 9, 21, 49, 63, 147, 441
GCD of numbers is the greatest common divisor
So, the GCD (465, 759, 183, 441) = 3.
Given numbers are 465, 759, 183, 441
The list of prime factors of all numbers are
Prime factors of 465 are 3 x 5 x 31
Prime factors of 759 are 3 x 11 x 23
Prime factors of 183 are 3 x 61
Prime factors of 441 are 3 x 3 x 7 x 7
The highest common occurrence is 31
Therefore, GCD of 465, 759, 183, 441 is 3.
Given numbers are 465, 759, 183, 441
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(465, 759) = 117645
GCD(465, 759) = ( 465 x 759 ) / 117645
= 465 / 759
= 465
Step2:
LCM(3, 183) = 183
GCD(3, 183) = ( 3 x 183 ) / 183
= 3 / 183
= 3
Step3:
LCM(3, 441) = 441
GCD(3, 441) = ( 3 x 441 ) / 441
= 3 / 441
= 3
So, Greatest Common Divisor of 465, 759, 183, 441 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 465, 759, 183, 441
The greatest common divisor of numbers 465, 759, 183, 441 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 465, 759, 183, 441 is 3.
1. What is the GCD of 465, 759, 183, 441?
GCD of given numbers 465, 759, 183, 441 is 3
2. How to calculate the greatest common divisor of 465, 759, 183, 441?
We can find the highest common divisor of 465, 759, 183, 441 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, 759, 183, 441 i.e 3.
3. How can I use the GCD of 465, 759, 183, 441Calculator?
Out the numbers 465, 759, 183, 441 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.