GCD of 102, 771, 540, 525 Calculator

Given Input numbers are 102, 771, 540, 525

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

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 771

List of positive integer divisors of 771 that divides 771 without a remainder.

1, 3, 257, 771

Divisors of 540

List of positive integer divisors of 540 that divides 540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

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

Greatest Common Divisior

We found the divisors of 102, 771, 540, 525 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 102, 771, 540, 525 is 3.

Therefore, GCD of numbers 102, 771, 540, 525 is 3

Given Input Data is 102, 771, 540, 525

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

Prime Factorization of 102 is 2 x 3 x 17

Prime Factorization of 771 is 3 x 257

Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5

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

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(102, 771) = 26214

GCD(102, 771) = ( 102 x 771 ) / 26214

GCD(102, 771) = 78642 / 26214

GCD(102, 771) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 540

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

LCM(3, 540) = 540

GCD(3, 540) = ( 3 x 540 ) / 540

GCD(3, 540) = 1620 / 540

GCD(3, 540) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 525

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

LCM(3, 525) = 525

GCD(3, 525) = ( 3 x 525 ) / 525

GCD(3, 525) = 1575 / 525

GCD(3, 525) = 3

GCD of 102, 771, 540, 525 is 3

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1. What is the GCD of 102, 771, 540, 525?

GCD of 102, 771, 540, 525 is 3

2. Where do I get the detailed procedure to find GCD of 102, 771, 540, 525?

You can find a detailed procedure to find GCD of 102, 771, 540, 525 on our page.

3. How to find GCD of 102, 771, 540, 525 on a calculator?

You can find the GCD of 102, 771, 540, 525 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.