GCD of 296, 338, 900, 482 Calculator

Given Input numbers are 296, 338, 900, 482

In the factoring method, we have to find the divisors of all numbers

Divisors of 296 :

The positive integer divisors of 296 that completely divides 296 are.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 482 :

The positive integer divisors of 482 that completely divides 482 are.

1, 2, 241, 482

GCD of numbers is the greatest common divisor

So, the GCD (296, 338, 900, 482) = 2.

Given numbers are 296, 338, 900, 482

The list of prime factors of all numbers are

Prime factors of 296 are 2 x 2 x 2 x 37

Prime factors of 338 are 2 x 13 x 13

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 482 are 2 x 241

The highest common occurrence is 2¹

Therefore, GCD of 296, 338, 900, 482 is 2.

Given numbers are 296, 338, 900, 482

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

Apply this formula for all numbers.

Step1:

LCM(296, 338) = 50024

GCD(296, 338) = ( 296 x 338 ) / 50024

= 296 / 338

= 296

Step2:

LCM(2, 900) = 900

GCD(2, 900) = ( 2 x 900 ) / 900

= 2 / 900

= 2

Step3:

LCM(2, 482) = 482

GCD(2, 482) = ( 2 x 482 ) / 482

= 2 / 482

= 2

So, Greatest Common Divisor of 296, 338, 900, 482 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 718, 788, 650, 689
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Given numbers are 296, 338, 900, 482
The greatest common divisor of numbers 296, 338, 900, 482 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 296, 338, 900, 482 is 2.

1. What is the GCD of 296, 338, 900, 482?

GCD of given numbers 296, 338, 900, 482 is 2

2. How to calculate the greatest common divisor of 296, 338, 900, 482?

We can find the highest common divisor of 296, 338, 900, 482 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 296, 338, 900, 482 i.e 2.

3. How can I use the GCD of 296, 338, 900, 482Calculator?

Out the numbers 296, 338, 900, 482 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.