Online GCD Calculator is useful to find the GCD of 498, 731, 743, 797 quickly. Get the easiest ways to solve the greatest common divisor of 498, 731, 743, 797 i.e 1 in different methods as follows.
Given Input numbers are 498, 731, 743, 797
In the factoring method, we have to find the divisors of all numbers
Divisors of 498 :
The positive integer divisors of 498 that completely divides 498 are.
1, 2, 3, 6, 83, 166, 249, 498
Divisors of 731 :
The positive integer divisors of 731 that completely divides 731 are.
1, 17, 43, 731
Divisors of 743 :
The positive integer divisors of 743 that completely divides 743 are.
1, 743
Divisors of 797 :
The positive integer divisors of 797 that completely divides 797 are.
1, 797
GCD of numbers is the greatest common divisor
So, the GCD (498, 731, 743, 797) = 1.
Given numbers are 498, 731, 743, 797
The list of prime factors of all numbers are
Prime factors of 498 are 2 x 3 x 83
Prime factors of 731 are 17 x 43
Prime factors of 743 are 743
Prime factors of 797 are 797
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 498, 731, 743, 797
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(498, 731) = 364038
GCD(498, 731) = ( 498 x 731 ) / 364038
= 498 / 731
= 498
Step2:
LCM(1, 743) = 743
GCD(1, 743) = ( 1 x 743 ) / 743
= 1 / 743
= 1
Step3:
LCM(1, 797) = 797
GCD(1, 797) = ( 1 x 797 ) / 797
= 1 / 797
= 1
So, Greatest Common Divisor of 498, 731, 743, 797 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 498, 731, 743, 797
The greatest common divisor of numbers 498, 731, 743, 797 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 498, 731, 743, 797 is 1.
1. What is the GCD of 498, 731, 743, 797?
GCD of given numbers 498, 731, 743, 797 is 1
2. How to calculate the greatest common divisor of 498, 731, 743, 797?
We can find the highest common divisor of 498, 731, 743, 797 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 498, 731, 743, 797 i.e 1.
3. How can I use the GCD of 498, 731, 743, 797Calculator?
Out the numbers 498, 731, 743, 797 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.