GCD of 495, 738, 87, 695 Calculator

Given Input numbers are 495, 738, 87, 695

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

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 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 695

List of positive integer divisors of 695 that divides 695 without a remainder.

1, 5, 139, 695

Greatest Common Divisior

We found the divisors of 495, 738, 87, 695 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 495, 738, 87, 695 is 1.

Therefore, GCD of numbers 495, 738, 87, 695 is 1

Given Input Data is 495, 738, 87, 695

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

Prime Factorization of 495 is 3 x 3 x 5 x 11

Prime Factorization of 738 is 2 x 3 x 3 x 41

Prime Factorization of 87 is 3 x 29

Prime Factorization of 695 is 5 x 139

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(495, 738) = 40590

GCD(495, 738) = ( 495 x 738 ) / 40590

GCD(495, 738) = 365310 / 40590

GCD(495, 738) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 87

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

LCM(9, 87) = 261

GCD(9, 87) = ( 9 x 87 ) / 261

GCD(9, 87) = 783 / 261

GCD(9, 87) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 695

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

LCM(3, 695) = 2085

GCD(3, 695) = ( 3 x 695 ) / 2085

GCD(3, 695) = 2085 / 2085

GCD(3, 695) = 1

GCD of 495, 738, 87, 695 is 1

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• GCD of 859, 124, 55, 448
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1. What is the GCD of 495, 738, 87, 695?

GCD of 495, 738, 87, 695 is 1

2. Where do I get the detailed procedure to find GCD of 495, 738, 87, 695?

You can find a detailed procedure to find GCD of 495, 738, 87, 695 on our page.

3. How to find GCD of 495, 738, 87, 695 on a calculator?

You can find the GCD of 495, 738, 87, 695 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.