GCD of 494, 422, 590, 376 Calculator

Given Input numbers are 494, 422, 590, 376

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

Divisors of 494 :

The positive integer divisors of 494 that completely divides 494 are.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

Divisors of 590 :

The positive integer divisors of 590 that completely divides 590 are.

1, 2, 5, 10, 59, 118, 295, 590

Divisors of 376 :

The positive integer divisors of 376 that completely divides 376 are.

1, 2, 4, 8, 47, 94, 188, 376

GCD of numbers is the greatest common divisor

So, the GCD (494, 422, 590, 376) = 2.

Given numbers are 494, 422, 590, 376

The list of prime factors of all numbers are

Prime factors of 494 are 2 x 13 x 19

Prime factors of 422 are 2 x 211

Prime factors of 590 are 2 x 5 x 59

Prime factors of 376 are 2 x 2 x 2 x 47

The highest common occurrence is 2¹

Therefore, GCD of 494, 422, 590, 376 is 2.

Given numbers are 494, 422, 590, 376

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

Apply this formula for all numbers.

Step1:

LCM(494, 422) = 104234

GCD(494, 422) = ( 494 x 422 ) / 104234

= 494 / 422

= 494

Step2:

LCM(2, 590) = 590

GCD(2, 590) = ( 2 x 590 ) / 590

= 2 / 590

= 2

Step3:

LCM(2, 376) = 376

GCD(2, 376) = ( 2 x 376 ) / 376

= 2 / 376

= 2

So, Greatest Common Divisor of 494, 422, 590, 376 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 612, 597, 585, 844
• GCD of 615, 155, 753, 117
• GCD of 699, 504, 391, 725
• GCD of 168, 343, 886, 162
• GCD of 583, 316, 698, 551

Given numbers are 494, 422, 590, 376
The greatest common divisor of numbers 494, 422, 590, 376 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 494, 422, 590, 376 is 2.

1. What is the GCD of 494, 422, 590, 376?

GCD of given numbers 494, 422, 590, 376 is 2

2. How to calculate the greatest common divisor of 494, 422, 590, 376?

We can find the highest common divisor of 494, 422, 590, 376 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 494, 422, 590, 376 i.e 2.

3. How can I use the GCD of 494, 422, 590, 376Calculator?

Out the numbers 494, 422, 590, 376 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.