Online GCD Calculator is useful to find the GCD of 908, 956, 144, 854 quickly. Get the easiest ways to solve the greatest common divisor of 908, 956, 144, 854 i.e 2 in different methods as follows.
Given Input numbers are 908, 956, 144, 854
In the factoring method, we have to find the divisors of all numbers
Divisors of 908 :
The positive integer divisors of 908 that completely divides 908 are.
1, 2, 4, 227, 454, 908
Divisors of 956 :
The positive integer divisors of 956 that completely divides 956 are.
1, 2, 4, 239, 478, 956
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 854 :
The positive integer divisors of 854 that completely divides 854 are.
1, 2, 7, 14, 61, 122, 427, 854
GCD of numbers is the greatest common divisor
So, the GCD (908, 956, 144, 854) = 2.
Given numbers are 908, 956, 144, 854
The list of prime factors of all numbers are
Prime factors of 908 are 2 x 2 x 227
Prime factors of 956 are 2 x 2 x 239
Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 854 are 2 x 7 x 61
The highest common occurrence is 21
Therefore, GCD of 908, 956, 144, 854 is 2.
Given numbers are 908, 956, 144, 854
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(908, 956) = 217012
GCD(908, 956) = ( 908 x 956 ) / 217012
= 908 / 956
= 908
Step2:
LCM(4, 144) = 144
GCD(4, 144) = ( 4 x 144 ) / 144
= 4 / 144
= 4
Step3:
LCM(4, 854) = 1708
GCD(4, 854) = ( 4 x 854 ) / 1708
= 4 / 854
= 4
So, Greatest Common Divisor of 908, 956, 144, 854 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 908, 956, 144, 854
The greatest common divisor of numbers 908, 956, 144, 854 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 908, 956, 144, 854 is 2.
1. What is the GCD of 908, 956, 144, 854?
GCD of given numbers 908, 956, 144, 854 is 2
2. How to calculate the greatest common divisor of 908, 956, 144, 854?
We can find the highest common divisor of 908, 956, 144, 854 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 908, 956, 144, 854 i.e 2.
3. How can I use the GCD of 908, 956, 144, 854Calculator?
Out the numbers 908, 956, 144, 854 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.