GCD of 908, 272, 334, 916 Calculator

Given Input numbers are 908, 272, 334, 916

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 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 334 :

The positive integer divisors of 334 that completely divides 334 are.

1, 2, 167, 334

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

GCD of numbers is the greatest common divisor

So, the GCD (908, 272, 334, 916) = 2.

Given numbers are 908, 272, 334, 916

The list of prime factors of all numbers are

Prime factors of 908 are 2 x 2 x 227

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

Prime factors of 334 are 2 x 167

Prime factors of 916 are 2 x 2 x 229

The highest common occurrence is 2¹

Therefore, GCD of 908, 272, 334, 916 is 2.

Given numbers are 908, 272, 334, 916

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(908, 272) = 61744

GCD(908, 272) = ( 908 x 272 ) / 61744

= 908 / 272

= 908

Step2:

LCM(4, 334) = 668

GCD(4, 334) = ( 4 x 334 ) / 668

= 4 / 334

= 4

Step3:

LCM(2, 916) = 916

GCD(2, 916) = ( 2 x 916 ) / 916

= 2 / 916

= 2

So, Greatest Common Divisor of 908, 272, 334, 916 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 916, 841, 914, 909
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Given numbers are 908, 272, 334, 916
The greatest common divisor of numbers 908, 272, 334, 916 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 908, 272, 334, 916 is 2.

1. What is the GCD of 908, 272, 334, 916?

GCD of given numbers 908, 272, 334, 916 is 2

2. How to calculate the greatest common divisor of 908, 272, 334, 916?

We can find the highest common divisor of 908, 272, 334, 916 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, 272, 334, 916 i.e 2.

3. How can I use the GCD of 908, 272, 334, 916Calculator?

Out the numbers 908, 272, 334, 916 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.