Online GCD Calculator is useful to find the GCD of 106, 386, 40, 429 quickly. Get the easiest ways to solve the greatest common divisor of 106, 386, 40, 429 i.e 1 in different methods as follows.
Given Input numbers are 106, 386, 40, 429
In the factoring method, we have to find the divisors of all numbers
Divisors of 106 :
The positive integer divisors of 106 that completely divides 106 are.
1, 2, 53, 106
Divisors of 386 :
The positive integer divisors of 386 that completely divides 386 are.
1, 2, 193, 386
Divisors of 40 :
The positive integer divisors of 40 that completely divides 40 are.
1, 2, 4, 5, 8, 10, 20, 40
Divisors of 429 :
The positive integer divisors of 429 that completely divides 429 are.
1, 3, 11, 13, 33, 39, 143, 429
GCD of numbers is the greatest common divisor
So, the GCD (106, 386, 40, 429) = 1.
Given numbers are 106, 386, 40, 429
The list of prime factors of all numbers are
Prime factors of 106 are 2 x 53
Prime factors of 386 are 2 x 193
Prime factors of 40 are 2 x 2 x 2 x 5
Prime factors of 429 are 3 x 11 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 106, 386, 40, 429
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(106, 386) = 20458
GCD(106, 386) = ( 106 x 386 ) / 20458
= 106 / 386
= 106
Step2:
LCM(2, 40) = 40
GCD(2, 40) = ( 2 x 40 ) / 40
= 2 / 40
= 2
Step3:
LCM(2, 429) = 858
GCD(2, 429) = ( 2 x 429 ) / 858
= 2 / 429
= 2
So, Greatest Common Divisor of 106, 386, 40, 429 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 106, 386, 40, 429
The greatest common divisor of numbers 106, 386, 40, 429 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 106, 386, 40, 429 is 1.
1. What is the GCD of 106, 386, 40, 429?
GCD of given numbers 106, 386, 40, 429 is 1
2. How to calculate the greatest common divisor of 106, 386, 40, 429?
We can find the highest common divisor of 106, 386, 40, 429 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 106, 386, 40, 429 i.e 1.
3. How can I use the GCD of 106, 386, 40, 429Calculator?
Out the numbers 106, 386, 40, 429 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.