GCD of 524, 139, 961, 298 Calculator

Given Input numbers are 524, 139, 961, 298

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

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Divisors of 139

List of positive integer divisors of 139 that divides 139 without a remainder.

1, 139

Divisors of 961

List of positive integer divisors of 961 that divides 961 without a remainder.

1, 31, 961

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Greatest Common Divisior

We found the divisors of 524, 139, 961, 298 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 524, 139, 961, 298 is 1.

Therefore, GCD of numbers 524, 139, 961, 298 is 1

Given Input Data is 524, 139, 961, 298

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

Prime Factorization of 524 is 2 x 2 x 131

Prime Factorization of 139 is 139

Prime Factorization of 961 is 31 x 31

Prime Factorization of 298 is 2 x 149

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(524, 139) = 72836

GCD(524, 139) = ( 524 x 139 ) / 72836

GCD(524, 139) = 72836 / 72836

GCD(524, 139) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 961

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

LCM(1, 961) = 961

GCD(1, 961) = ( 1 x 961 ) / 961

GCD(1, 961) = 961 / 961

GCD(1, 961) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 298

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

LCM(1, 298) = 298

GCD(1, 298) = ( 1 x 298 ) / 298

GCD(1, 298) = 298 / 298

GCD(1, 298) = 1

GCD of 524, 139, 961, 298 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 956, 457, 519, 891
• GCD of 525, 474, 345, 689
• GCD of 799, 192, 598, 307
• GCD of 139, 966, 332, 397
• GCD of 139, 307, 690, 296

1. What is the GCD of 524, 139, 961, 298?

GCD of 524, 139, 961, 298 is 1

2. Where do I get the detailed procedure to find GCD of 524, 139, 961, 298?

You can find a detailed procedure to find GCD of 524, 139, 961, 298 on our page.

3. How to find GCD of 524, 139, 961, 298 on a calculator?

You can find the GCD of 524, 139, 961, 298 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.