GCD of 525, 364, 99, 131 Calculator

Given Input numbers are 525, 364, 99, 131

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

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 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 131

List of positive integer divisors of 131 that divides 131 without a remainder.

1, 131

Greatest Common Divisior

We found the divisors of 525, 364, 99, 131 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 525, 364, 99, 131 is 1.

Therefore, GCD of numbers 525, 364, 99, 131 is 1

Given Input Data is 525, 364, 99, 131

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

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

Prime Factorization of 364 is 2 x 2 x 7 x 13

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 131 is 131

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(525, 364) = 27300

GCD(525, 364) = ( 525 x 364 ) / 27300

GCD(525, 364) = 191100 / 27300

GCD(525, 364) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 99

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

LCM(7, 99) = 693

GCD(7, 99) = ( 7 x 99 ) / 693

GCD(7, 99) = 693 / 693

GCD(7, 99) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 131

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

LCM(1, 131) = 131

GCD(1, 131) = ( 1 x 131 ) / 131

GCD(1, 131) = 131 / 131

GCD(1, 131) = 1

GCD of 525, 364, 99, 131 is 1

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• GCD of 702, 957, 21, 774
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1. What is the GCD of 525, 364, 99, 131?

GCD of 525, 364, 99, 131 is 1

2. Where do I get the detailed procedure to find GCD of 525, 364, 99, 131?

You can find a detailed procedure to find GCD of 525, 364, 99, 131 on our page.

3. How to find GCD of 525, 364, 99, 131 on a calculator?

You can find the GCD of 525, 364, 99, 131 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.