GCD of 490, 956, 805, 542 Calculator

Given Input numbers are 490, 956, 805, 542

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 956

List of positive integer divisors of 956 that divides 956 without a remainder.

1, 2, 4, 239, 478, 956

Divisors of 805

List of positive integer divisors of 805 that divides 805 without a remainder.

1, 5, 7, 23, 35, 115, 161, 805

Divisors of 542

List of positive integer divisors of 542 that divides 542 without a remainder.

1, 2, 271, 542

Greatest Common Divisior

We found the divisors of 490, 956, 805, 542 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 490, 956, 805, 542 is 1.

Therefore, GCD of numbers 490, 956, 805, 542 is 1

Given Input Data is 490, 956, 805, 542

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 956 is 2 x 2 x 239

Prime Factorization of 805 is 5 x 7 x 23

Prime Factorization of 542 is 2 x 271

The above numbers do not have any common prime factor. So GCD is 1

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, 956) = 234220

GCD(490, 956) = ( 490 x 956 ) / 234220

GCD(490, 956) = 468440 / 234220

GCD(490, 956) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 805

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

LCM(2, 805) = 1610

GCD(2, 805) = ( 2 x 805 ) / 1610

GCD(2, 805) = 1610 / 1610

GCD(2, 805) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 542

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

LCM(1, 542) = 542

GCD(1, 542) = ( 1 x 542 ) / 542

GCD(1, 542) = 542 / 542

GCD(1, 542) = 1

GCD of 490, 956, 805, 542 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 210, 313, 745, 490
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1. What is the GCD of 490, 956, 805, 542?

GCD of 490, 956, 805, 542 is 1

2. Where do I get the detailed procedure to find GCD of 490, 956, 805, 542?

You can find a detailed procedure to find GCD of 490, 956, 805, 542 on our page.

3. How to find GCD of 490, 956, 805, 542 on a calculator?

You can find the GCD of 490, 956, 805, 542 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.