Online GCD Calculator is useful to find the GCD of 422, 679, 117, 144 quickly. Get the easiest ways to solve the greatest common divisor of 422, 679, 117, 144 i.e 1 in different methods as follows.
Given Input numbers are 422, 679, 117, 144
In the factoring method, we have to find the divisors of all numbers
Divisors of 422 :
The positive integer divisors of 422 that completely divides 422 are.
1, 2, 211, 422
Divisors of 679 :
The positive integer divisors of 679 that completely divides 679 are.
1, 7, 97, 679
Divisors of 117 :
The positive integer divisors of 117 that completely divides 117 are.
1, 3, 9, 13, 39, 117
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
GCD of numbers is the greatest common divisor
So, the GCD (422, 679, 117, 144) = 1.
Given numbers are 422, 679, 117, 144
The list of prime factors of all numbers are
Prime factors of 422 are 2 x 211
Prime factors of 679 are 7 x 97
Prime factors of 117 are 3 x 3 x 13
Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 422, 679, 117, 144
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(422, 679) = 286538
GCD(422, 679) = ( 422 x 679 ) / 286538
= 422 / 679
= 422
Step2:
LCM(1, 117) = 117
GCD(1, 117) = ( 1 x 117 ) / 117
= 1 / 117
= 1
Step3:
LCM(1, 144) = 144
GCD(1, 144) = ( 1 x 144 ) / 144
= 1 / 144
= 1
So, Greatest Common Divisor of 422, 679, 117, 144 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 422, 679, 117, 144
The greatest common divisor of numbers 422, 679, 117, 144 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 422, 679, 117, 144 is 1.
1. What is the GCD of 422, 679, 117, 144?
GCD of given numbers 422, 679, 117, 144 is 1
2. How to calculate the greatest common divisor of 422, 679, 117, 144?
We can find the highest common divisor of 422, 679, 117, 144 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 422, 679, 117, 144 i.e 1.
3. How can I use the GCD of 422, 679, 117, 144Calculator?
Out the numbers 422, 679, 117, 144 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.