Online GCD Calculator is useful to find the GCD of 497, 742, 462, 459 quickly. Get the easiest ways to solve the greatest common divisor of 497, 742, 462, 459 i.e 1 in different methods as follows.
Given Input numbers are 497, 742, 462, 459
In the factoring method, we have to find the divisors of all numbers
Divisors of 497 :
The positive integer divisors of 497 that completely divides 497 are.
1, 7, 71, 497
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
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 459 :
The positive integer divisors of 459 that completely divides 459 are.
1, 3, 9, 17, 27, 51, 153, 459
GCD of numbers is the greatest common divisor
So, the GCD (497, 742, 462, 459) = 1.
Given numbers are 497, 742, 462, 459
The list of prime factors of all numbers are
Prime factors of 497 are 7 x 71
Prime factors of 742 are 2 x 7 x 53
Prime factors of 462 are 2 x 3 x 7 x 11
Prime factors of 459 are 3 x 3 x 3 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 497, 742, 462, 459
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(497, 742) = 52682
GCD(497, 742) = ( 497 x 742 ) / 52682
= 497 / 742
= 497
Step2:
LCM(7, 462) = 462
GCD(7, 462) = ( 7 x 462 ) / 462
= 7 / 462
= 7
Step3:
LCM(7, 459) = 3213
GCD(7, 459) = ( 7 x 459 ) / 3213
= 7 / 459
= 7
So, Greatest Common Divisor of 497, 742, 462, 459 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 497, 742, 462, 459
The greatest common divisor of numbers 497, 742, 462, 459 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 497, 742, 462, 459 is 1.
1. What is the GCD of 497, 742, 462, 459?
GCD of given numbers 497, 742, 462, 459 is 1
2. How to calculate the greatest common divisor of 497, 742, 462, 459?
We can find the highest common divisor of 497, 742, 462, 459 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 497, 742, 462, 459 i.e 1.
3. How can I use the GCD of 497, 742, 462, 459Calculator?
Out the numbers 497, 742, 462, 459 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.