GCD of 71, 649, 981, 294 Calculator

Given Input numbers are 71, 649, 981, 294

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

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 649

List of positive integer divisors of 649 that divides 649 without a remainder.

1, 11, 59, 649

Divisors of 981

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

1, 3, 9, 109, 327, 981

Divisors of 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Greatest Common Divisior

We found the divisors of 71, 649, 981, 294 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 71, 649, 981, 294 is 1.

Therefore, GCD of numbers 71, 649, 981, 294 is 1

Given Input Data is 71, 649, 981, 294

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

Prime Factorization of 71 is 71

Prime Factorization of 649 is 11 x 59

Prime Factorization of 981 is 3 x 3 x 109

Prime Factorization of 294 is 2 x 3 x 7 x 7

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(71, 649) = 46079

GCD(71, 649) = ( 71 x 649 ) / 46079

GCD(71, 649) = 46079 / 46079

GCD(71, 649) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 981

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

LCM(1, 981) = 981

GCD(1, 981) = ( 1 x 981 ) / 981

GCD(1, 981) = 981 / 981

GCD(1, 981) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 294

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

LCM(1, 294) = 294

GCD(1, 294) = ( 1 x 294 ) / 294

GCD(1, 294) = 294 / 294

GCD(1, 294) = 1

GCD of 71, 649, 981, 294 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 54, 986, 139, 969
• GCD of 70, 116, 395, 105
• GCD of 29, 749, 710, 491
• GCD of 94, 449, 731, 705
• GCD of 81, 642, 995, 648

1. What is the GCD of 71, 649, 981, 294?

GCD of 71, 649, 981, 294 is 1

2. Where do I get the detailed procedure to find GCD of 71, 649, 981, 294?

You can find a detailed procedure to find GCD of 71, 649, 981, 294 on our page.

3. How to find GCD of 71, 649, 981, 294 on a calculator?

You can find the GCD of 71, 649, 981, 294 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.