GCD of 382, 500, 908, 294 Calculator

Given Input numbers are 382, 500, 908, 294

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

Divisors of 382 :

The positive integer divisors of 382 that completely divides 382 are.

1, 2, 191, 382

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 908 :

The positive integer divisors of 908 that completely divides 908 are.

1, 2, 4, 227, 454, 908

Divisors of 294 :

The positive integer divisors of 294 that completely divides 294 are.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

GCD of numbers is the greatest common divisor

So, the GCD (382, 500, 908, 294) = 2.

Given numbers are 382, 500, 908, 294

The list of prime factors of all numbers are

Prime factors of 382 are 2 x 191

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

Prime factors of 908 are 2 x 2 x 227

Prime factors of 294 are 2 x 3 x 7 x 7

The highest common occurrence is 2¹

Therefore, GCD of 382, 500, 908, 294 is 2.

Given numbers are 382, 500, 908, 294

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

Apply this formula for all numbers.

Step1:

LCM(382, 500) = 95500

GCD(382, 500) = ( 382 x 500 ) / 95500

= 382 / 500

= 382

Step2:

LCM(2, 908) = 908

GCD(2, 908) = ( 2 x 908 ) / 908

= 2 / 908

= 2

Step3:

LCM(2, 294) = 294

GCD(2, 294) = ( 2 x 294 ) / 294

= 2 / 294

= 2

So, Greatest Common Divisor of 382, 500, 908, 294 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 575, 453, 623, 903
• GCD of 464, 371, 227, 424
• GCD of 385, 238, 318, 338
• GCD of 458, 659, 265, 275
• GCD of 495, 251, 985, 349

Given numbers are 382, 500, 908, 294
The greatest common divisor of numbers 382, 500, 908, 294 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 382, 500, 908, 294 is 2.

1. What is the GCD of 382, 500, 908, 294?

GCD of given numbers 382, 500, 908, 294 is 2

2. How to calculate the greatest common divisor of 382, 500, 908, 294?

We can find the highest common divisor of 382, 500, 908, 294 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 382, 500, 908, 294 i.e 2.

3. How can I use the GCD of 382, 500, 908, 294Calculator?

Out the numbers 382, 500, 908, 294 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.