Online GCD Calculator is useful to find the GCD of 493, 520, 724, 456 quickly. Get the easiest ways to solve the greatest common divisor of 493, 520, 724, 456 i.e 1 in different methods as follows.
Given Input numbers are 493, 520, 724, 456
In the factoring method, we have to find the divisors of all numbers
Divisors of 493 :
The positive integer divisors of 493 that completely divides 493 are.
1, 17, 29, 493
Divisors of 520 :
The positive integer divisors of 520 that completely divides 520 are.
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
Divisors of 724 :
The positive integer divisors of 724 that completely divides 724 are.
1, 2, 4, 181, 362, 724
Divisors of 456 :
The positive integer divisors of 456 that completely divides 456 are.
1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
GCD of numbers is the greatest common divisor
So, the GCD (493, 520, 724, 456) = 1.
Given numbers are 493, 520, 724, 456
The list of prime factors of all numbers are
Prime factors of 493 are 17 x 29
Prime factors of 520 are 2 x 2 x 2 x 5 x 13
Prime factors of 724 are 2 x 2 x 181
Prime factors of 456 are 2 x 2 x 2 x 3 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 493, 520, 724, 456
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(493, 520) = 256360
GCD(493, 520) = ( 493 x 520 ) / 256360
= 493 / 520
= 493
Step2:
LCM(1, 724) = 724
GCD(1, 724) = ( 1 x 724 ) / 724
= 1 / 724
= 1
Step3:
LCM(1, 456) = 456
GCD(1, 456) = ( 1 x 456 ) / 456
= 1 / 456
= 1
So, Greatest Common Divisor of 493, 520, 724, 456 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 493, 520, 724, 456
The greatest common divisor of numbers 493, 520, 724, 456 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 493, 520, 724, 456 is 1.
1. What is the GCD of 493, 520, 724, 456?
GCD of given numbers 493, 520, 724, 456 is 1
2. How to calculate the greatest common divisor of 493, 520, 724, 456?
We can find the highest common divisor of 493, 520, 724, 456 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 493, 520, 724, 456 i.e 1.
3. How can I use the GCD of 493, 520, 724, 456Calculator?
Out the numbers 493, 520, 724, 456 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.