Online GCD Calculator is useful to find the GCD of 465, 801, 496, 105 quickly. Get the easiest ways to solve the greatest common divisor of 465, 801, 496, 105 i.e 1 in different methods as follows.
Given Input numbers are 465, 801, 496, 105
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 801 :
The positive integer divisors of 801 that completely divides 801 are.
1, 3, 9, 89, 267, 801
Divisors of 496 :
The positive integer divisors of 496 that completely divides 496 are.
1, 2, 4, 8, 16, 31, 62, 124, 248, 496
Divisors of 105 :
The positive integer divisors of 105 that completely divides 105 are.
1, 3, 5, 7, 15, 21, 35, 105
GCD of numbers is the greatest common divisor
So, the GCD (465, 801, 496, 105) = 1.
Given numbers are 465, 801, 496, 105
The list of prime factors of all numbers are
Prime factors of 465 are 3 x 5 x 31
Prime factors of 801 are 3 x 3 x 89
Prime factors of 496 are 2 x 2 x 2 x 2 x 31
Prime factors of 105 are 3 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 465, 801, 496, 105
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(465, 801) = 124155
GCD(465, 801) = ( 465 x 801 ) / 124155
= 465 / 801
= 465
Step2:
LCM(3, 496) = 1488
GCD(3, 496) = ( 3 x 496 ) / 1488
= 3 / 496
= 3
Step3:
LCM(1, 105) = 105
GCD(1, 105) = ( 1 x 105 ) / 105
= 1 / 105
= 1
So, Greatest Common Divisor of 465, 801, 496, 105 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 465, 801, 496, 105
The greatest common divisor of numbers 465, 801, 496, 105 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 465, 801, 496, 105 is 1.
1. What is the GCD of 465, 801, 496, 105?
GCD of given numbers 465, 801, 496, 105 is 1
2. How to calculate the greatest common divisor of 465, 801, 496, 105?
We can find the highest common divisor of 465, 801, 496, 105 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, 801, 496, 105 i.e 1.
3. How can I use the GCD of 465, 801, 496, 105Calculator?
Out the numbers 465, 801, 496, 105 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.