Online GCD Calculator is useful to find the GCD of 496, 748, 820, 997 quickly. Get the easiest ways to solve the greatest common divisor of 496, 748, 820, 997 i.e 1 in different methods as follows.
Given Input numbers are 496, 748, 820, 997
In the factoring method, we have to find the divisors of all numbers
Divisors of 496 :
The positive integer divisors of 496 that completely divides 496 are.
1, 2, 4, 8, 16, 31, 62, 124, 248, 496
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 820 :
The positive integer divisors of 820 that completely divides 820 are.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
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 (496, 748, 820, 997) = 1.
Given numbers are 496, 748, 820, 997
The list of prime factors of all numbers are
Prime factors of 496 are 2 x 2 x 2 x 2 x 31
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 820 are 2 x 2 x 5 x 41
Prime factors of 997 are 997
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 496, 748, 820, 997
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(496, 748) = 92752
GCD(496, 748) = ( 496 x 748 ) / 92752
= 496 / 748
= 496
Step2:
LCM(4, 820) = 820
GCD(4, 820) = ( 4 x 820 ) / 820
= 4 / 820
= 4
Step3:
LCM(4, 997) = 3988
GCD(4, 997) = ( 4 x 997 ) / 3988
= 4 / 997
= 4
So, Greatest Common Divisor of 496, 748, 820, 997 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 496, 748, 820, 997
The greatest common divisor of numbers 496, 748, 820, 997 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 496, 748, 820, 997 is 1.
1. What is the GCD of 496, 748, 820, 997?
GCD of given numbers 496, 748, 820, 997 is 1
2. How to calculate the greatest common divisor of 496, 748, 820, 997?
We can find the highest common divisor of 496, 748, 820, 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 496, 748, 820, 997 i.e 1.
3. How can I use the GCD of 496, 748, 820, 997Calculator?
Out the numbers 496, 748, 820, 997 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.