Online GCD Calculator is useful to find the GCD of 954, 158, 878, 180 quickly. Get the easiest ways to solve the greatest common divisor of 954, 158, 878, 180 i.e 2 in different methods as follows.
Given Input numbers are 954, 158, 878, 180
In the factoring method, we have to find the divisors of all numbers
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 158 :
The positive integer divisors of 158 that completely divides 158 are.
1, 2, 79, 158
Divisors of 878 :
The positive integer divisors of 878 that completely divides 878 are.
1, 2, 439, 878
Divisors of 180 :
The positive integer divisors of 180 that completely divides 180 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
GCD of numbers is the greatest common divisor
So, the GCD (954, 158, 878, 180) = 2.
Given numbers are 954, 158, 878, 180
The list of prime factors of all numbers are
Prime factors of 954 are 2 x 3 x 3 x 53
Prime factors of 158 are 2 x 79
Prime factors of 878 are 2 x 439
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
The highest common occurrence is 21
Therefore, GCD of 954, 158, 878, 180 is 2.
Given numbers are 954, 158, 878, 180
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(954, 158) = 75366
GCD(954, 158) = ( 954 x 158 ) / 75366
= 954 / 158
= 954
Step2:
LCM(2, 878) = 878
GCD(2, 878) = ( 2 x 878 ) / 878
= 2 / 878
= 2
Step3:
LCM(2, 180) = 180
GCD(2, 180) = ( 2 x 180 ) / 180
= 2 / 180
= 2
So, Greatest Common Divisor of 954, 158, 878, 180 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 954, 158, 878, 180
The greatest common divisor of numbers 954, 158, 878, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 954, 158, 878, 180 is 2.
1. What is the GCD of 954, 158, 878, 180?
GCD of given numbers 954, 158, 878, 180 is 2
2. How to calculate the greatest common divisor of 954, 158, 878, 180?
We can find the highest common divisor of 954, 158, 878, 180 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 954, 158, 878, 180 i.e 2.
3. How can I use the GCD of 954, 158, 878, 180Calculator?
Out the numbers 954, 158, 878, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.