Online GCD Calculator is useful to find the GCD of 112, 742, 500, 745 quickly. Get the easiest ways to solve the greatest common divisor of 112, 742, 500, 745 i.e 1 in different methods as follows.
Given Input numbers are 112, 742, 500, 745
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 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 500 :
The positive integer divisors of 500 that completely divides 500 are.
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
Divisors of 745 :
The positive integer divisors of 745 that completely divides 745 are.
1, 5, 149, 745
GCD of numbers is the greatest common divisor
So, the GCD (112, 742, 500, 745) = 1.
Given numbers are 112, 742, 500, 745
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 742 are 2 x 7 x 53
Prime factors of 500 are 2 x 2 x 5 x 5 x 5
Prime factors of 745 are 5 x 149
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 112, 742, 500, 745
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(112, 742) = 5936
GCD(112, 742) = ( 112 x 742 ) / 5936
= 112 / 742
= 112
Step2:
LCM(14, 500) = 3500
GCD(14, 500) = ( 14 x 500 ) / 3500
= 14 / 500
= 14
Step3:
LCM(2, 745) = 1490
GCD(2, 745) = ( 2 x 745 ) / 1490
= 2 / 745
= 2
So, Greatest Common Divisor of 112, 742, 500, 745 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 112, 742, 500, 745
The greatest common divisor of numbers 112, 742, 500, 745 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 742, 500, 745 is 1.
1. What is the GCD of 112, 742, 500, 745?
GCD of given numbers 112, 742, 500, 745 is 1
2. How to calculate the greatest common divisor of 112, 742, 500, 745?
We can find the highest common divisor of 112, 742, 500, 745 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, 742, 500, 745 i.e 1.
3. How can I use the GCD of 112, 742, 500, 745Calculator?
Out the numbers 112, 742, 500, 745 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.