GCD of 242, 588, 698, 989 Calculator

Given Input numbers are 242, 588, 698, 989

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

Divisors of 242

List of positive integer divisors of 242 that divides 242 without a remainder.

1, 2, 11, 22, 121, 242

Divisors of 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Divisors of 989

List of positive integer divisors of 989 that divides 989 without a remainder.

1, 23, 43, 989

Greatest Common Divisior

We found the divisors of 242, 588, 698, 989 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 242, 588, 698, 989 is 1.

Therefore, GCD of numbers 242, 588, 698, 989 is 1

Given Input Data is 242, 588, 698, 989

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

Prime Factorization of 242 is 2 x 11 x 11

Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7

Prime Factorization of 698 is 2 x 349

Prime Factorization of 989 is 23 x 43

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(242, 588) = 71148

GCD(242, 588) = ( 242 x 588 ) / 71148

GCD(242, 588) = 142296 / 71148

GCD(242, 588) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 698

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

LCM(2, 698) = 698

GCD(2, 698) = ( 2 x 698 ) / 698

GCD(2, 698) = 1396 / 698

GCD(2, 698) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 989

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

LCM(2, 989) = 1978

GCD(2, 989) = ( 2 x 989 ) / 1978

GCD(2, 989) = 1978 / 1978

GCD(2, 989) = 1

GCD of 242, 588, 698, 989 is 1

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• GCD of 696, 658, 711, 463

1. What is the GCD of 242, 588, 698, 989?

GCD of 242, 588, 698, 989 is 1

2. Where do I get the detailed procedure to find GCD of 242, 588, 698, 989?

You can find a detailed procedure to find GCD of 242, 588, 698, 989 on our page.

3. How to find GCD of 242, 588, 698, 989 on a calculator?

You can find the GCD of 242, 588, 698, 989 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.