Online GCD Calculator is useful to find the GCD of 494, 440, 748, 997 quickly. Get the easiest ways to solve the greatest common divisor of 494, 440, 748, 997 i.e 1 in different methods as follows.
Given Input numbers are 494, 440, 748, 997
In the factoring method, we have to find the divisors of all numbers
Divisors of 494 :
The positive integer divisors of 494 that completely divides 494 are.
1, 2, 13, 19, 26, 38, 247, 494
Divisors of 440 :
The positive integer divisors of 440 that completely divides 440 are.
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
Divisors of 748 :
The positive integer divisors of 748 that completely divides 748 are.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Divisors of 997 :
The positive integer divisors of 997 that completely divides 997 are.
1, 997
GCD of numbers is the greatest common divisor
So, the GCD (494, 440, 748, 997) = 1.
Given numbers are 494, 440, 748, 997
The list of prime factors of all numbers are
Prime factors of 494 are 2 x 13 x 19
Prime factors of 440 are 2 x 2 x 2 x 5 x 11
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 997 are 997
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 494, 440, 748, 997
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(494, 440) = 108680
GCD(494, 440) = ( 494 x 440 ) / 108680
= 494 / 440
= 494
Step2:
LCM(2, 748) = 748
GCD(2, 748) = ( 2 x 748 ) / 748
= 2 / 748
= 2
Step3:
LCM(2, 997) = 1994
GCD(2, 997) = ( 2 x 997 ) / 1994
= 2 / 997
= 2
So, Greatest Common Divisor of 494, 440, 748, 997 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 494, 440, 748, 997
The greatest common divisor of numbers 494, 440, 748, 997 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 494, 440, 748, 997 is 1.
1. What is the GCD of 494, 440, 748, 997?
GCD of given numbers 494, 440, 748, 997 is 1
2. How to calculate the greatest common divisor of 494, 440, 748, 997?
We can find the highest common divisor of 494, 440, 748, 997 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 494, 440, 748, 997 i.e 1.
3. How can I use the GCD of 494, 440, 748, 997Calculator?
Out the numbers 494, 440, 748, 997 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.