Online GCD Calculator is useful to find the GCD of 112, 108, 553, 728 quickly. Get the easiest ways to solve the greatest common divisor of 112, 108, 553, 728 i.e 1 in different methods as follows.
Given Input numbers are 112, 108, 553, 728
In the factoring method, we have to find the divisors of all numbers
Divisors of 112 :
The positive integer divisors of 112 that completely divides 112 are.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
Divisors of 108 :
The positive integer divisors of 108 that completely divides 108 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Divisors of 553 :
The positive integer divisors of 553 that completely divides 553 are.
1, 7, 79, 553
Divisors of 728 :
The positive integer divisors of 728 that completely divides 728 are.
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
GCD of numbers is the greatest common divisor
So, the GCD (112, 108, 553, 728) = 1.
Given numbers are 112, 108, 553, 728
The list of prime factors of all numbers are
Prime factors of 112 are 2 x 2 x 2 x 2 x 7
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
Prime factors of 553 are 7 x 79
Prime factors of 728 are 2 x 2 x 2 x 7 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 112, 108, 553, 728
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(112, 108) = 3024
GCD(112, 108) = ( 112 x 108 ) / 3024
= 112 / 108
= 112
Step2:
LCM(4, 553) = 2212
GCD(4, 553) = ( 4 x 553 ) / 2212
= 4 / 553
= 4
Step3:
LCM(1, 728) = 728
GCD(1, 728) = ( 1 x 728 ) / 728
= 1 / 728
= 1
So, Greatest Common Divisor of 112, 108, 553, 728 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 112, 108, 553, 728
The greatest common divisor of numbers 112, 108, 553, 728 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 108, 553, 728 is 1.
1. What is the GCD of 112, 108, 553, 728?
GCD of given numbers 112, 108, 553, 728 is 1
2. How to calculate the greatest common divisor of 112, 108, 553, 728?
We can find the highest common divisor of 112, 108, 553, 728 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 112, 108, 553, 728 i.e 1.
3. How can I use the GCD of 112, 108, 553, 728Calculator?
Out the numbers 112, 108, 553, 728 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.