Online GCD Calculator is useful to find the GCD of 349, 144, 164, 624 quickly. Get the easiest ways to solve the greatest common divisor of 349, 144, 164, 624 i.e 1 in different methods as follows.
Given Input numbers are 349, 144, 164, 624
In the factoring method, we have to find the divisors of all numbers
Divisors of 349 :
The positive integer divisors of 349 that completely divides 349 are.
1, 349
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 164 :
The positive integer divisors of 164 that completely divides 164 are.
1, 2, 4, 41, 82, 164
Divisors of 624 :
The positive integer divisors of 624 that completely divides 624 are.
1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
GCD of numbers is the greatest common divisor
So, the GCD (349, 144, 164, 624) = 1.
Given numbers are 349, 144, 164, 624
The list of prime factors of all numbers are
Prime factors of 349 are 349
Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 164 are 2 x 2 x 41
Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 349, 144, 164, 624
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(349, 144) = 50256
GCD(349, 144) = ( 349 x 144 ) / 50256
= 349 / 144
= 349
Step2:
LCM(1, 164) = 164
GCD(1, 164) = ( 1 x 164 ) / 164
= 1 / 164
= 1
Step3:
LCM(1, 624) = 624
GCD(1, 624) = ( 1 x 624 ) / 624
= 1 / 624
= 1
So, Greatest Common Divisor of 349, 144, 164, 624 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 349, 144, 164, 624
The greatest common divisor of numbers 349, 144, 164, 624 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 349, 144, 164, 624 is 1.
1. What is the GCD of 349, 144, 164, 624?
GCD of given numbers 349, 144, 164, 624 is 1
2. How to calculate the greatest common divisor of 349, 144, 164, 624?
We can find the highest common divisor of 349, 144, 164, 624 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 349, 144, 164, 624 i.e 1.
3. How can I use the GCD of 349, 144, 164, 624Calculator?
Out the numbers 349, 144, 164, 624 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.