Online GCD Calculator is useful to find the GCD of 472, 112, 106, 413 quickly. Get the easiest ways to solve the greatest common divisor of 472, 112, 106, 413 i.e 1 in different methods as follows.
Given Input numbers are 472, 112, 106, 413
In the factoring method, we have to find the divisors of all numbers
Divisors of 472 :
The positive integer divisors of 472 that completely divides 472 are.
1, 2, 4, 8, 59, 118, 236, 472
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 106 :
The positive integer divisors of 106 that completely divides 106 are.
1, 2, 53, 106
Divisors of 413 :
The positive integer divisors of 413 that completely divides 413 are.
1, 7, 59, 413
GCD of numbers is the greatest common divisor
So, the GCD (472, 112, 106, 413) = 1.
Given numbers are 472, 112, 106, 413
The list of prime factors of all numbers are
Prime factors of 472 are 2 x 2 x 2 x 59
Prime factors of 112 are 2 x 2 x 2 x 2 x 7
Prime factors of 106 are 2 x 53
Prime factors of 413 are 7 x 59
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 472, 112, 106, 413
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(472, 112) = 6608
GCD(472, 112) = ( 472 x 112 ) / 6608
= 472 / 112
= 472
Step2:
LCM(8, 106) = 424
GCD(8, 106) = ( 8 x 106 ) / 424
= 8 / 106
= 8
Step3:
LCM(2, 413) = 826
GCD(2, 413) = ( 2 x 413 ) / 826
= 2 / 413
= 2
So, Greatest Common Divisor of 472, 112, 106, 413 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 472, 112, 106, 413
The greatest common divisor of numbers 472, 112, 106, 413 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 472, 112, 106, 413 is 1.
1. What is the GCD of 472, 112, 106, 413?
GCD of given numbers 472, 112, 106, 413 is 1
2. How to calculate the greatest common divisor of 472, 112, 106, 413?
We can find the highest common divisor of 472, 112, 106, 413 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 472, 112, 106, 413 i.e 1.
3. How can I use the GCD of 472, 112, 106, 413Calculator?
Out the numbers 472, 112, 106, 413 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.