GCD of 495, 305, 715, 748 Calculator

Given Input numbers are 495, 305, 715, 748

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 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Divisors of 715

List of positive integer divisors of 715 that divides 715 without a remainder.

1, 5, 11, 13, 55, 65, 143, 715

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Greatest Common Divisior

We found the divisors of 495, 305, 715, 748 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 495, 305, 715, 748 is 1.

Therefore, GCD of numbers 495, 305, 715, 748 is 1

Given Input Data is 495, 305, 715, 748

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 305 is 5 x 61

Prime Factorization of 715 is 5 x 11 x 13

Prime Factorization of 748 is 2 x 2 x 11 x 17

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, 305) = 30195

GCD(495, 305) = ( 495 x 305 ) / 30195

GCD(495, 305) = 150975 / 30195

GCD(495, 305) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 715

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

LCM(5, 715) = 715

GCD(5, 715) = ( 5 x 715 ) / 715

GCD(5, 715) = 3575 / 715

GCD(5, 715) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 748

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

LCM(5, 748) = 3740

GCD(5, 748) = ( 5 x 748 ) / 3740

GCD(5, 748) = 3740 / 3740

GCD(5, 748) = 1

GCD of 495, 305, 715, 748 is 1

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1. What is the GCD of 495, 305, 715, 748?

GCD of 495, 305, 715, 748 is 1

2. Where do I get the detailed procedure to find GCD of 495, 305, 715, 748?

You can find a detailed procedure to find GCD of 495, 305, 715, 748 on our page.

3. How to find GCD of 495, 305, 715, 748 on a calculator?

You can find the GCD of 495, 305, 715, 748 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.