Online GCD Calculator is useful to find the GCD of 908, 454, 160, 252 quickly. Get the easiest ways to solve the greatest common divisor of 908, 454, 160, 252 i.e 2 in different methods as follows.
Given Input numbers are 908, 454, 160, 252
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 454 :
The positive integer divisors of 454 that completely divides 454 are.
1, 2, 227, 454
Divisors of 160 :
The positive integer divisors of 160 that completely divides 160 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
Divisors of 252 :
The positive integer divisors of 252 that completely divides 252 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
GCD of numbers is the greatest common divisor
So, the GCD (908, 454, 160, 252) = 2.
Given numbers are 908, 454, 160, 252
The list of prime factors of all numbers are
Prime factors of 908 are 2 x 2 x 227
Prime factors of 454 are 2 x 227
Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5
Prime factors of 252 are 2 x 2 x 3 x 3 x 7
The highest common occurrence is 21
Therefore, GCD of 908, 454, 160, 252 is 2.
Given numbers are 908, 454, 160, 252
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(908, 454) = 908
GCD(908, 454) = ( 908 x 454 ) / 908
= 908 / 454
= 908
Step2:
LCM(454, 160) = 36320
GCD(454, 160) = ( 454 x 160 ) / 36320
= 454 / 160
= 454
Step3:
LCM(2, 252) = 252
GCD(2, 252) = ( 2 x 252 ) / 252
= 2 / 252
= 2
So, Greatest Common Divisor of 908, 454, 160, 252 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 908, 454, 160, 252
The greatest common divisor of numbers 908, 454, 160, 252 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 908, 454, 160, 252 is 2.
1. What is the GCD of 908, 454, 160, 252?
GCD of given numbers 908, 454, 160, 252 is 2
2. How to calculate the greatest common divisor of 908, 454, 160, 252?
We can find the highest common divisor of 908, 454, 160, 252 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, 454, 160, 252 i.e 2.
3. How can I use the GCD of 908, 454, 160, 252Calculator?
Out the numbers 908, 454, 160, 252 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.