GCD of 989, 396, 525, 779 Calculator

Given Input numbers are 989, 396, 525, 779

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

Divisors of 989

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

1, 23, 43, 989

Divisors of 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 525

List of positive integer divisors of 525 that divides 525 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Divisors of 779

List of positive integer divisors of 779 that divides 779 without a remainder.

1, 19, 41, 779

Greatest Common Divisior

We found the divisors of 989, 396, 525, 779 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 989, 396, 525, 779 is 1.

Therefore, GCD of numbers 989, 396, 525, 779 is 1

Given Input Data is 989, 396, 525, 779

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

Prime Factorization of 989 is 23 x 43

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

Prime Factorization of 525 is 3 x 5 x 5 x 7

Prime Factorization of 779 is 19 x 41

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(989, 396) = 391644

GCD(989, 396) = ( 989 x 396 ) / 391644

GCD(989, 396) = 391644 / 391644

GCD(989, 396) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 525

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

LCM(1, 525) = 525

GCD(1, 525) = ( 1 x 525 ) / 525

GCD(1, 525) = 525 / 525

GCD(1, 525) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 779

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

LCM(1, 779) = 779

GCD(1, 779) = ( 1 x 779 ) / 779

GCD(1, 779) = 779 / 779

GCD(1, 779) = 1

GCD of 989, 396, 525, 779 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 888, 285, 251, 753
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• GCD of 753, 424, 114, 423
• GCD of 297, 393, 172, 881
• GCD of 265, 881, 410, 147

1. What is the GCD of 989, 396, 525, 779?

GCD of 989, 396, 525, 779 is 1

2. Where do I get the detailed procedure to find GCD of 989, 396, 525, 779?

You can find a detailed procedure to find GCD of 989, 396, 525, 779 on our page.

3. How to find GCD of 989, 396, 525, 779 on a calculator?

You can find the GCD of 989, 396, 525, 779 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.