Online GCD Calculator is useful to find the GCD of 144, 705, 718, 422 quickly. Get the easiest ways to solve the greatest common divisor of 144, 705, 718, 422 i.e 1 in different methods as follows.
Given Input numbers are 144, 705, 718, 422
In the factoring method, we have to find the divisors of all numbers
Divisors of 144 :
The positive integer divisors of 144 that completely divides 144 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
Divisors of 705 :
The positive integer divisors of 705 that completely divides 705 are.
1, 3, 5, 15, 47, 141, 235, 705
Divisors of 718 :
The positive integer divisors of 718 that completely divides 718 are.
1, 2, 359, 718
Divisors of 422 :
The positive integer divisors of 422 that completely divides 422 are.
1, 2, 211, 422
GCD of numbers is the greatest common divisor
So, the GCD (144, 705, 718, 422) = 1.
Given numbers are 144, 705, 718, 422
The list of prime factors of all numbers are
Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 705 are 3 x 5 x 47
Prime factors of 718 are 2 x 359
Prime factors of 422 are 2 x 211
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 144, 705, 718, 422
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(144, 705) = 33840
GCD(144, 705) = ( 144 x 705 ) / 33840
= 144 / 705
= 144
Step2:
LCM(3, 718) = 2154
GCD(3, 718) = ( 3 x 718 ) / 2154
= 3 / 718
= 3
Step3:
LCM(1, 422) = 422
GCD(1, 422) = ( 1 x 422 ) / 422
= 1 / 422
= 1
So, Greatest Common Divisor of 144, 705, 718, 422 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 144, 705, 718, 422
The greatest common divisor of numbers 144, 705, 718, 422 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 705, 718, 422 is 1.
1. What is the GCD of 144, 705, 718, 422?
GCD of given numbers 144, 705, 718, 422 is 1
2. How to calculate the greatest common divisor of 144, 705, 718, 422?
We can find the highest common divisor of 144, 705, 718, 422 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 144, 705, 718, 422 i.e 1.
3. How can I use the GCD of 144, 705, 718, 422Calculator?
Out the numbers 144, 705, 718, 422 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.