Online GCD Calculator is useful to find the GCD of 360, 399, 801, 465 quickly. Get the easiest ways to solve the greatest common divisor of 360, 399, 801, 465 i.e 3 in different methods as follows.
Given Input numbers are 360, 399, 801, 465
In the factoring method, we have to find the divisors of all numbers
Divisors of 360 :
The positive integer divisors of 360 that completely divides 360 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 399 :
The positive integer divisors of 399 that completely divides 399 are.
1, 3, 7, 19, 21, 57, 133, 399
Divisors of 801 :
The positive integer divisors of 801 that completely divides 801 are.
1, 3, 9, 89, 267, 801
Divisors of 465 :
The positive integer divisors of 465 that completely divides 465 are.
1, 3, 5, 15, 31, 93, 155, 465
GCD of numbers is the greatest common divisor
So, the GCD (360, 399, 801, 465) = 3.
Given numbers are 360, 399, 801, 465
The list of prime factors of all numbers are
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 399 are 3 x 7 x 19
Prime factors of 801 are 3 x 3 x 89
Prime factors of 465 are 3 x 5 x 31
The highest common occurrence is 31
Therefore, GCD of 360, 399, 801, 465 is 3.
Given numbers are 360, 399, 801, 465
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(360, 399) = 47880
GCD(360, 399) = ( 360 x 399 ) / 47880
= 360 / 399
= 360
Step2:
LCM(3, 801) = 801
GCD(3, 801) = ( 3 x 801 ) / 801
= 3 / 801
= 3
Step3:
LCM(3, 465) = 465
GCD(3, 465) = ( 3 x 465 ) / 465
= 3 / 465
= 3
So, Greatest Common Divisor of 360, 399, 801, 465 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 360, 399, 801, 465
The greatest common divisor of numbers 360, 399, 801, 465 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 399, 801, 465 is 3.
1. What is the GCD of 360, 399, 801, 465?
GCD of given numbers 360, 399, 801, 465 is 3
2. How to calculate the greatest common divisor of 360, 399, 801, 465?
We can find the highest common divisor of 360, 399, 801, 465 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 360, 399, 801, 465 i.e 3.
3. How can I use the GCD of 360, 399, 801, 465Calculator?
Out the numbers 360, 399, 801, 465 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.