GCD of 525, 102, 91 Calculator

Given Input numbers are 525, 102, 91

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 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 91

List of positive integer divisors of 91 that divides 91 without a remainder.

1, 7, 13, 91

Greatest Common Divisior

We found the divisors of 525, 102, 91 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 525, 102, 91 is 1.

Therefore, GCD of numbers 525, 102, 91 is 1

Given Input Data is 525, 102, 91

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 102 is 2 x 3 x 17

Prime Factorization of 91 is 7 x 13

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, 102) = 17850

GCD(525, 102) = ( 525 x 102 ) / 17850

GCD(525, 102) = 53550 / 17850

GCD(525, 102) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 91

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

LCM(3, 91) = 273

GCD(3, 91) = ( 3 x 91 ) / 273

GCD(3, 91) = 273 / 273

GCD(3, 91) = 1

GCD of 525, 102, 91 is 1

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1. What is the GCD of 525, 102, 91?

GCD of 525, 102, 91 is 1

2. Where do I get the detailed procedure to find GCD of 525, 102, 91?

You can find a detailed procedure to find GCD of 525, 102, 91 on our page.

3. How to find GCD of 525, 102, 91 on a calculator?

You can find the GCD of 525, 102, 91 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.