Online GCD Calculator is useful to find the GCD of 704, 493, 880, 113 quickly. Get the easiest ways to solve the greatest common divisor of 704, 493, 880, 113 i.e 1 in different methods as follows.
Given Input numbers are 704, 493, 880, 113
In the factoring method, we have to find the divisors of all numbers
Divisors of 704 :
The positive integer divisors of 704 that completely divides 704 are.
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
Divisors of 493 :
The positive integer divisors of 493 that completely divides 493 are.
1, 17, 29, 493
Divisors of 880 :
The positive integer divisors of 880 that completely divides 880 are.
1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
Divisors of 113 :
The positive integer divisors of 113 that completely divides 113 are.
1, 113
GCD of numbers is the greatest common divisor
So, the GCD (704, 493, 880, 113) = 1.
Given numbers are 704, 493, 880, 113
The list of prime factors of all numbers are
Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11
Prime factors of 493 are 17 x 29
Prime factors of 880 are 2 x 2 x 2 x 2 x 5 x 11
Prime factors of 113 are 113
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 704, 493, 880, 113
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(704, 493) = 347072
GCD(704, 493) = ( 704 x 493 ) / 347072
= 704 / 493
= 704
Step2:
LCM(1, 880) = 880
GCD(1, 880) = ( 1 x 880 ) / 880
= 1 / 880
= 1
Step3:
LCM(1, 113) = 113
GCD(1, 113) = ( 1 x 113 ) / 113
= 1 / 113
= 1
So, Greatest Common Divisor of 704, 493, 880, 113 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 704, 493, 880, 113
The greatest common divisor of numbers 704, 493, 880, 113 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 704, 493, 880, 113 is 1.
1. What is the GCD of 704, 493, 880, 113?
GCD of given numbers 704, 493, 880, 113 is 1
2. How to calculate the greatest common divisor of 704, 493, 880, 113?
We can find the highest common divisor of 704, 493, 880, 113 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 704, 493, 880, 113 i.e 1.
3. How can I use the GCD of 704, 493, 880, 113Calculator?
Out the numbers 704, 493, 880, 113 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.