Online GCD Calculator is useful to find the GCD of 107, 479, 748, 413 quickly. Get the easiest ways to solve the greatest common divisor of 107, 479, 748, 413 i.e 1 in different methods as follows.
Given Input numbers are 107, 479, 748, 413
In the factoring method, we have to find the divisors of all numbers
Divisors of 107 :
The positive integer divisors of 107 that completely divides 107 are.
1, 107
Divisors of 479 :
The positive integer divisors of 479 that completely divides 479 are.
1, 479
Divisors of 748 :
The positive integer divisors of 748 that completely divides 748 are.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
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 (107, 479, 748, 413) = 1.
Given numbers are 107, 479, 748, 413
The list of prime factors of all numbers are
Prime factors of 107 are 107
Prime factors of 479 are 479
Prime factors of 748 are 2 x 2 x 11 x 17
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 107, 479, 748, 413
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(107, 479) = 51253
GCD(107, 479) = ( 107 x 479 ) / 51253
= 107 / 479
= 107
Step2:
LCM(1, 748) = 748
GCD(1, 748) = ( 1 x 748 ) / 748
= 1 / 748
= 1
Step3:
LCM(1, 413) = 413
GCD(1, 413) = ( 1 x 413 ) / 413
= 1 / 413
= 1
So, Greatest Common Divisor of 107, 479, 748, 413 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 107, 479, 748, 413
The greatest common divisor of numbers 107, 479, 748, 413 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 107, 479, 748, 413 is 1.
1. What is the GCD of 107, 479, 748, 413?
GCD of given numbers 107, 479, 748, 413 is 1
2. How to calculate the greatest common divisor of 107, 479, 748, 413?
We can find the highest common divisor of 107, 479, 748, 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 107, 479, 748, 413 i.e 1.
3. How can I use the GCD of 107, 479, 748, 413Calculator?
Out the numbers 107, 479, 748, 413 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.