Online GCD Calculator is useful to find the GCD of 949, 504, 164, 120 quickly. Get the easiest ways to solve the greatest common divisor of 949, 504, 164, 120 i.e 1 in different methods as follows.
Given Input numbers are 949, 504, 164, 120
In the factoring method, we have to find the divisors of all numbers
Divisors of 949 :
The positive integer divisors of 949 that completely divides 949 are.
1, 13, 73, 949
Divisors of 504 :
The positive integer divisors of 504 that completely divides 504 are.
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
Divisors of 164 :
The positive integer divisors of 164 that completely divides 164 are.
1, 2, 4, 41, 82, 164
Divisors of 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
GCD of numbers is the greatest common divisor
So, the GCD (949, 504, 164, 120) = 1.
Given numbers are 949, 504, 164, 120
The list of prime factors of all numbers are
Prime factors of 949 are 13 x 73
Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7
Prime factors of 164 are 2 x 2 x 41
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 949, 504, 164, 120
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(949, 504) = 478296
GCD(949, 504) = ( 949 x 504 ) / 478296
= 949 / 504
= 949
Step2:
LCM(1, 164) = 164
GCD(1, 164) = ( 1 x 164 ) / 164
= 1 / 164
= 1
Step3:
LCM(1, 120) = 120
GCD(1, 120) = ( 1 x 120 ) / 120
= 1 / 120
= 1
So, Greatest Common Divisor of 949, 504, 164, 120 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 949, 504, 164, 120
The greatest common divisor of numbers 949, 504, 164, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 949, 504, 164, 120 is 1.
1. What is the GCD of 949, 504, 164, 120?
GCD of given numbers 949, 504, 164, 120 is 1
2. How to calculate the greatest common divisor of 949, 504, 164, 120?
We can find the highest common divisor of 949, 504, 164, 120 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 949, 504, 164, 120 i.e 1.
3. How can I use the GCD of 949, 504, 164, 120Calculator?
Out the numbers 949, 504, 164, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.