Online GCD Calculator is useful to find the GCD of 272, 418, 332, 908 quickly. Get the easiest ways to solve the greatest common divisor of 272, 418, 332, 908 i.e 2 in different methods as follows.
Given Input numbers are 272, 418, 332, 908
In the factoring method, we have to find the divisors of all numbers
Divisors of 272 :
The positive integer divisors of 272 that completely divides 272 are.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
Divisors of 418 :
The positive integer divisors of 418 that completely divides 418 are.
1, 2, 11, 19, 22, 38, 209, 418
Divisors of 332 :
The positive integer divisors of 332 that completely divides 332 are.
1, 2, 4, 83, 166, 332
Divisors of 908 :
The positive integer divisors of 908 that completely divides 908 are.
1, 2, 4, 227, 454, 908
GCD of numbers is the greatest common divisor
So, the GCD (272, 418, 332, 908) = 2.
Given numbers are 272, 418, 332, 908
The list of prime factors of all numbers are
Prime factors of 272 are 2 x 2 x 2 x 2 x 17
Prime factors of 418 are 2 x 11 x 19
Prime factors of 332 are 2 x 2 x 83
Prime factors of 908 are 2 x 2 x 227
The highest common occurrence is 21
Therefore, GCD of 272, 418, 332, 908 is 2.
Given numbers are 272, 418, 332, 908
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(272, 418) = 56848
GCD(272, 418) = ( 272 x 418 ) / 56848
= 272 / 418
= 272
Step2:
LCM(2, 332) = 332
GCD(2, 332) = ( 2 x 332 ) / 332
= 2 / 332
= 2
Step3:
LCM(2, 908) = 908
GCD(2, 908) = ( 2 x 908 ) / 908
= 2 / 908
= 2
So, Greatest Common Divisor of 272, 418, 332, 908 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 272, 418, 332, 908
The greatest common divisor of numbers 272, 418, 332, 908 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 272, 418, 332, 908 is 2.
1. What is the GCD of 272, 418, 332, 908?
GCD of given numbers 272, 418, 332, 908 is 2
2. How to calculate the greatest common divisor of 272, 418, 332, 908?
We can find the highest common divisor of 272, 418, 332, 908 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 272, 418, 332, 908 i.e 2.
3. How can I use the GCD of 272, 418, 332, 908Calculator?
Out the numbers 272, 418, 332, 908 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.