GCD of 588, 908, 892, 338 Calculator

Given Input numbers are 588, 908, 892, 338

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

Divisors of 588 :

The positive integer divisors of 588 that completely divides 588 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 908 :

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

1, 2, 4, 227, 454, 908

Divisors of 892 :

The positive integer divisors of 892 that completely divides 892 are.

1, 2, 4, 223, 446, 892

Divisors of 338 :

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

1, 2, 13, 26, 169, 338

GCD of numbers is the greatest common divisor

So, the GCD (588, 908, 892, 338) = 2.

Given numbers are 588, 908, 892, 338

The list of prime factors of all numbers are

Prime factors of 588 are 2 x 2 x 3 x 7 x 7

Prime factors of 908 are 2 x 2 x 227

Prime factors of 892 are 2 x 2 x 223

Prime factors of 338 are 2 x 13 x 13

The highest common occurrence is 2¹

Therefore, GCD of 588, 908, 892, 338 is 2.

Given numbers are 588, 908, 892, 338

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

Apply this formula for all numbers.

Step1:

LCM(588, 908) = 133476

GCD(588, 908) = ( 588 x 908 ) / 133476

= 588 / 908

= 588

Step2:

LCM(4, 892) = 892

GCD(4, 892) = ( 4 x 892 ) / 892

= 4 / 892

= 4

Step3:

LCM(4, 338) = 676

GCD(4, 338) = ( 4 x 338 ) / 676

= 4 / 338

= 4

So, Greatest Common Divisor of 588, 908, 892, 338 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 100, 746, 321, 579
• GCD of 294, 912, 521, 607
• GCD of 388, 188, 174, 620
• GCD of 422, 388, 834, 564
• GCD of 590, 862, 570, 429

Given numbers are 588, 908, 892, 338
The greatest common divisor of numbers 588, 908, 892, 338 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 588, 908, 892, 338 is 2.

1. What is the GCD of 588, 908, 892, 338?

GCD of given numbers 588, 908, 892, 338 is 2

2. How to calculate the greatest common divisor of 588, 908, 892, 338?

We can find the highest common divisor of 588, 908, 892, 338 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 588, 908, 892, 338 i.e 2.

3. How can I use the GCD of 588, 908, 892, 338Calculator?

Out the numbers 588, 908, 892, 338 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.