Online GCD Calculator is useful to find the GCD of 476, 791, 500, 112 quickly. Get the easiest ways to solve the greatest common divisor of 476, 791, 500, 112 i.e 1 in different methods as follows.
Given Input numbers are 476, 791, 500, 112
In the factoring method, we have to find the divisors of all numbers
Divisors of 476 :
The positive integer divisors of 476 that completely divides 476 are.
1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
Divisors of 791 :
The positive integer divisors of 791 that completely divides 791 are.
1, 7, 113, 791
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 112 :
The positive integer divisors of 112 that completely divides 112 are.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
GCD of numbers is the greatest common divisor
So, the GCD (476, 791, 500, 112) = 1.
Given numbers are 476, 791, 500, 112
The list of prime factors of all numbers are
Prime factors of 476 are 2 x 2 x 7 x 17
Prime factors of 791 are 7 x 113
Prime factors of 500 are 2 x 2 x 5 x 5 x 5
Prime factors of 112 are 2 x 2 x 2 x 2 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 476, 791, 500, 112
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(476, 791) = 53788
GCD(476, 791) = ( 476 x 791 ) / 53788
= 476 / 791
= 476
Step2:
LCM(7, 500) = 3500
GCD(7, 500) = ( 7 x 500 ) / 3500
= 7 / 500
= 7
Step3:
LCM(1, 112) = 112
GCD(1, 112) = ( 1 x 112 ) / 112
= 1 / 112
= 1
So, Greatest Common Divisor of 476, 791, 500, 112 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 476, 791, 500, 112
The greatest common divisor of numbers 476, 791, 500, 112 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 476, 791, 500, 112 is 1.
1. What is the GCD of 476, 791, 500, 112?
GCD of given numbers 476, 791, 500, 112 is 1
2. How to calculate the greatest common divisor of 476, 791, 500, 112?
We can find the highest common divisor of 476, 791, 500, 112 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 476, 791, 500, 112 i.e 1.
3. How can I use the GCD of 476, 791, 500, 112Calculator?
Out the numbers 476, 791, 500, 112 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.