Online GCD Calculator is useful to find the GCD of 120, 855, 954, 300 quickly. Get the easiest ways to solve the greatest common divisor of 120, 855, 954, 300 i.e 3 in different methods as follows.
Given Input numbers are 120, 855, 954, 300
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 855 :
The positive integer divisors of 855 that completely divides 855 are.
1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
Divisors of 954 :
The positive integer divisors of 954 that completely divides 954 are.
1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
Divisors of 300 :
The positive integer divisors of 300 that completely divides 300 are.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
GCD of numbers is the greatest common divisor
So, the GCD (120, 855, 954, 300) = 3.
Given numbers are 120, 855, 954, 300
The list of prime factors of all numbers are
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 855 are 3 x 3 x 5 x 19
Prime factors of 954 are 2 x 3 x 3 x 53
Prime factors of 300 are 2 x 2 x 3 x 5 x 5
The highest common occurrence is 31
Therefore, GCD of 120, 855, 954, 300 is 3.
Given numbers are 120, 855, 954, 300
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(120, 855) = 6840
GCD(120, 855) = ( 120 x 855 ) / 6840
= 120 / 855
= 120
Step2:
LCM(15, 954) = 4770
GCD(15, 954) = ( 15 x 954 ) / 4770
= 15 / 954
= 15
Step3:
LCM(3, 300) = 300
GCD(3, 300) = ( 3 x 300 ) / 300
= 3 / 300
= 3
So, Greatest Common Divisor of 120, 855, 954, 300 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 120, 855, 954, 300
The greatest common divisor of numbers 120, 855, 954, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 855, 954, 300 is 3.
1. What is the GCD of 120, 855, 954, 300?
GCD of given numbers 120, 855, 954, 300 is 3
2. How to calculate the greatest common divisor of 120, 855, 954, 300?
We can find the highest common divisor of 120, 855, 954, 300 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 120, 855, 954, 300 i.e 3.
3. How can I use the GCD of 120, 855, 954, 300Calculator?
Out the numbers 120, 855, 954, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.