GCD of 981, 490, 74, 293 Calculator

Given Input numbers are 981, 490, 74, 293

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

Divisors of 981

List of positive integer divisors of 981 that divides 981 without a remainder.

1, 3, 9, 109, 327, 981

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 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 293

List of positive integer divisors of 293 that divides 293 without a remainder.

1, 293

Greatest Common Divisior

We found the divisors of 981, 490, 74, 293 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 981, 490, 74, 293 is 1.

Therefore, GCD of numbers 981, 490, 74, 293 is 1

Given Input Data is 981, 490, 74, 293

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

Prime Factorization of 981 is 3 x 3 x 109

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

Prime Factorization of 74 is 2 x 37

Prime Factorization of 293 is 293

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(981, 490) = 480690

GCD(981, 490) = ( 981 x 490 ) / 480690

GCD(981, 490) = 480690 / 480690

GCD(981, 490) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 74

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

LCM(1, 74) = 74

GCD(1, 74) = ( 1 x 74 ) / 74

GCD(1, 74) = 74 / 74

GCD(1, 74) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 293

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

LCM(1, 293) = 293

GCD(1, 293) = ( 1 x 293 ) / 293

GCD(1, 293) = 293 / 293

GCD(1, 293) = 1

GCD of 981, 490, 74, 293 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 854, 388, 29, 993
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• GCD of 519, 384, 68, 194

1. What is the GCD of 981, 490, 74, 293?

GCD of 981, 490, 74, 293 is 1

2. Where do I get the detailed procedure to find GCD of 981, 490, 74, 293?

You can find a detailed procedure to find GCD of 981, 490, 74, 293 on our page.

3. How to find GCD of 981, 490, 74, 293 on a calculator?

You can find the GCD of 981, 490, 74, 293 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.