GCD of 132, 495, 759, 465 Calculator

Given Input numbers are 132, 495, 759, 465

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 495

List of positive integer divisors of 495 that divides 495 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Divisors of 759

List of positive integer divisors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

Divisors of 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Greatest Common Divisior

We found the divisors of 132, 495, 759, 465 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 132, 495, 759, 465 is 3.

Therefore, GCD of numbers 132, 495, 759, 465 is 3

Given Input Data is 132, 495, 759, 465

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 495 is 3 x 3 x 5 x 11

Prime Factorization of 759 is 3 x 11 x 23

Prime Factorization of 465 is 3 x 5 x 31

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(132, 495) = 1980

GCD(132, 495) = ( 132 x 495 ) / 1980

GCD(132, 495) = 65340 / 1980

GCD(132, 495) = 33

Step2:

Here we consider the GCD from the above i.e. 33 as first number and the next as 759

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

LCM(33, 759) = 759

GCD(33, 759) = ( 33 x 759 ) / 759

GCD(33, 759) = 25047 / 759

GCD(33, 759) = 33

Step3:

Here we consider the GCD from the above i.e. 33 as first number and the next as 465

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

LCM(33, 465) = 5115

GCD(33, 465) = ( 33 x 465 ) / 5115

GCD(33, 465) = 15345 / 5115

GCD(33, 465) = 3

GCD of 132, 495, 759, 465 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 702, 121, 790, 533
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• GCD of 598, 940, 247, 759
• GCD of 862, 542, 690, 499

1. What is the GCD of 132, 495, 759, 465?

GCD of 132, 495, 759, 465 is 3

2. Where do I get the detailed procedure to find GCD of 132, 495, 759, 465?

You can find a detailed procedure to find GCD of 132, 495, 759, 465 on our page.

3. How to find GCD of 132, 495, 759, 465 on a calculator?

You can find the GCD of 132, 495, 759, 465 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.