Online GCD Calculator is useful to find the GCD of 598, 663, 715, 494 quickly. Get the easiest ways to solve the greatest common divisor of 598, 663, 715, 494 i.e 13 in different methods as follows.
Given Input numbers are 598, 663, 715, 494
In the factoring method, we have to find the divisors of all numbers
Divisors of 598 :
The positive integer divisors of 598 that completely divides 598 are.
1, 2, 13, 23, 26, 46, 299, 598
Divisors of 663 :
The positive integer divisors of 663 that completely divides 663 are.
1, 3, 13, 17, 39, 51, 221, 663
Divisors of 715 :
The positive integer divisors of 715 that completely divides 715 are.
1, 5, 11, 13, 55, 65, 143, 715
Divisors of 494 :
The positive integer divisors of 494 that completely divides 494 are.
1, 2, 13, 19, 26, 38, 247, 494
GCD of numbers is the greatest common divisor
So, the GCD (598, 663, 715, 494) = 13.
Given numbers are 598, 663, 715, 494
The list of prime factors of all numbers are
Prime factors of 598 are 2 x 13 x 23
Prime factors of 663 are 3 x 13 x 17
Prime factors of 715 are 5 x 11 x 13
Prime factors of 494 are 2 x 13 x 19
The highest common occurrence is 131
Therefore, GCD of 598, 663, 715, 494 is 13.
Given numbers are 598, 663, 715, 494
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(598, 663) = 30498
GCD(598, 663) = ( 598 x 663 ) / 30498
= 598 / 663
= 598
Step2:
LCM(13, 715) = 715
GCD(13, 715) = ( 13 x 715 ) / 715
= 13 / 715
= 13
Step3:
LCM(13, 494) = 494
GCD(13, 494) = ( 13 x 494 ) / 494
= 13 / 494
= 13
So, Greatest Common Divisor of 598, 663, 715, 494 is 13
Here are some samples of GCD of Numbers calculations.
Given numbers are 598, 663, 715, 494
The greatest common divisor of numbers 598, 663, 715, 494 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 598, 663, 715, 494 is 13.
1. What is the GCD of 598, 663, 715, 494?
GCD of given numbers 598, 663, 715, 494 is 13
2. How to calculate the greatest common divisor of 598, 663, 715, 494?
We can find the highest common divisor of 598, 663, 715, 494 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 598, 663, 715, 494 i.e 13.
3. How can I use the GCD of 598, 663, 715, 494Calculator?
Out the numbers 598, 663, 715, 494 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.