GCD of 132, 525, 69, 616 Calculator

Given Input numbers are 132, 525, 69, 616

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

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

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 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 616

List of positive integer divisors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Greatest Common Divisior

We found the divisors of 132, 525, 69, 616 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 132, 525, 69, 616 is 1.

Therefore, GCD of numbers 132, 525, 69, 616 is 1

Given Input Data is 132, 525, 69, 616

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

Prime Factorization of 132 is 2 x 2 x 3 x 11

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

Prime Factorization of 69 is 3 x 23

Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11

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(132, 525) = 23100

GCD(132, 525) = ( 132 x 525 ) / 23100

GCD(132, 525) = 69300 / 23100

GCD(132, 525) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 69

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

LCM(3, 69) = 69

GCD(3, 69) = ( 3 x 69 ) / 69

GCD(3, 69) = 207 / 69

GCD(3, 69) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 616

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

LCM(3, 616) = 1848

GCD(3, 616) = ( 3 x 616 ) / 1848

GCD(3, 616) = 1848 / 1848

GCD(3, 616) = 1

GCD of 132, 525, 69, 616 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 523, 184, 54, 802
• GCD of 521, 955, 40, 243
• GCD of 706, 401, 68, 896
• GCD of 594, 495, 81, 366
• GCD of 237, 789, 87, 712

1. What is the GCD of 132, 525, 69, 616?

GCD of 132, 525, 69, 616 is 1

2. Where do I get the detailed procedure to find GCD of 132, 525, 69, 616?

You can find a detailed procedure to find GCD of 132, 525, 69, 616 on our page.

3. How to find GCD of 132, 525, 69, 616 on a calculator?

You can find the GCD of 132, 525, 69, 616 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.