Online GCD Calculator is useful to find the GCD of 423, 359, 716, 105 quickly. Get the easiest ways to solve the greatest common divisor of 423, 359, 716, 105 i.e 1 in different methods as follows.
Given Input numbers are 423, 359, 716, 105
In the factoring method, we have to find the divisors of all numbers
Divisors of 423 :
The positive integer divisors of 423 that completely divides 423 are.
1, 3, 9, 47, 141, 423
Divisors of 359 :
The positive integer divisors of 359 that completely divides 359 are.
1, 359
Divisors of 716 :
The positive integer divisors of 716 that completely divides 716 are.
1, 2, 4, 179, 358, 716
Divisors of 105 :
The positive integer divisors of 105 that completely divides 105 are.
1, 3, 5, 7, 15, 21, 35, 105
GCD of numbers is the greatest common divisor
So, the GCD (423, 359, 716, 105) = 1.
Given numbers are 423, 359, 716, 105
The list of prime factors of all numbers are
Prime factors of 423 are 3 x 3 x 47
Prime factors of 359 are 359
Prime factors of 716 are 2 x 2 x 179
Prime factors of 105 are 3 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 423, 359, 716, 105
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(423, 359) = 151857
GCD(423, 359) = ( 423 x 359 ) / 151857
= 423 / 359
= 423
Step2:
LCM(1, 716) = 716
GCD(1, 716) = ( 1 x 716 ) / 716
= 1 / 716
= 1
Step3:
LCM(1, 105) = 105
GCD(1, 105) = ( 1 x 105 ) / 105
= 1 / 105
= 1
So, Greatest Common Divisor of 423, 359, 716, 105 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 423, 359, 716, 105
The greatest common divisor of numbers 423, 359, 716, 105 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 423, 359, 716, 105 is 1.
1. What is the GCD of 423, 359, 716, 105?
GCD of given numbers 423, 359, 716, 105 is 1
2. How to calculate the greatest common divisor of 423, 359, 716, 105?
We can find the highest common divisor of 423, 359, 716, 105 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 423, 359, 716, 105 i.e 1.
3. How can I use the GCD of 423, 359, 716, 105Calculator?
Out the numbers 423, 359, 716, 105 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.