GCD of 490, 594, 426, 342 Calculator

Given Input numbers are 490, 594, 426, 342

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 490

List of positive integer divisors of 490 that divides 490 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 594

List of positive integer divisors of 594 that divides 594 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

Divisors of 426

List of positive integer divisors of 426 that divides 426 without a remainder.

1, 2, 3, 6, 71, 142, 213, 426

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Greatest Common Divisior

We found the divisors of 490, 594, 426, 342 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 490, 594, 426, 342 is 2.

Therefore, GCD of numbers 490, 594, 426, 342 is 2

Given Input Data is 490, 594, 426, 342

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 490 is 2 x 5 x 7 x 7

Prime Factorization of 594 is 2 x 3 x 3 x 3 x 11

Prime Factorization of 426 is 2 x 3 x 71

Prime Factorization of 342 is 2 x 3 x 3 x 19

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

Step1:

Let's calculate the GCD of first two numbers

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

LCM(490, 594) = 145530

GCD(490, 594) = ( 490 x 594 ) / 145530

GCD(490, 594) = 291060 / 145530

GCD(490, 594) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 426

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

LCM(2, 426) = 426

GCD(2, 426) = ( 2 x 426 ) / 426

GCD(2, 426) = 852 / 426

GCD(2, 426) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 342

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

LCM(2, 342) = 342

GCD(2, 342) = ( 2 x 342 ) / 342

GCD(2, 342) = 684 / 342

GCD(2, 342) = 2

GCD of 490, 594, 426, 342 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 935, 208, 924, 844
• GCD of 885, 154, 303, 678
• GCD of 100, 828, 243, 852
• GCD of 720, 297, 891, 993
• GCD of 399, 290, 246, 797

1. What is the GCD of 490, 594, 426, 342?

GCD of 490, 594, 426, 342 is 2

2. Where do I get the detailed procedure to find GCD of 490, 594, 426, 342?

You can find a detailed procedure to find GCD of 490, 594, 426, 342 on our page.

3. How to find GCD of 490, 594, 426, 342 on a calculator?

You can find the GCD of 490, 594, 426, 342 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.