Online GCD Calculator is useful to find the GCD of 460, 462, 693, 288 quickly. Get the easiest ways to solve the greatest common divisor of 460, 462, 693, 288 i.e 1 in different methods as follows.
Given Input numbers are 460, 462, 693, 288
In the factoring method, we have to find the divisors of all numbers
Divisors of 460 :
The positive integer divisors of 460 that completely divides 460 are.
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
Divisors of 462 :
The positive integer divisors of 462 that completely divides 462 are.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
Divisors of 693 :
The positive integer divisors of 693 that completely divides 693 are.
1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
Divisors of 288 :
The positive integer divisors of 288 that completely divides 288 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
GCD of numbers is the greatest common divisor
So, the GCD (460, 462, 693, 288) = 1.
Given numbers are 460, 462, 693, 288
The list of prime factors of all numbers are
Prime factors of 460 are 2 x 2 x 5 x 23
Prime factors of 462 are 2 x 3 x 7 x 11
Prime factors of 693 are 3 x 3 x 7 x 11
Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 460, 462, 693, 288
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(460, 462) = 106260
GCD(460, 462) = ( 460 x 462 ) / 106260
= 460 / 462
= 460
Step2:
LCM(2, 693) = 1386
GCD(2, 693) = ( 2 x 693 ) / 1386
= 2 / 693
= 2
Step3:
LCM(1, 288) = 288
GCD(1, 288) = ( 1 x 288 ) / 288
= 1 / 288
= 1
So, Greatest Common Divisor of 460, 462, 693, 288 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 460, 462, 693, 288
The greatest common divisor of numbers 460, 462, 693, 288 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 460, 462, 693, 288 is 1.
1. What is the GCD of 460, 462, 693, 288?
GCD of given numbers 460, 462, 693, 288 is 1
2. How to calculate the greatest common divisor of 460, 462, 693, 288?
We can find the highest common divisor of 460, 462, 693, 288 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 460, 462, 693, 288 i.e 1.
3. How can I use the GCD of 460, 462, 693, 288Calculator?
Out the numbers 460, 462, 693, 288 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.