GCD of 495, 736, 749, 476 Calculator

Given Input numbers are 495, 736, 749, 476

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 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Divisors of 476

List of positive integer divisors of 476 that divides 476 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Greatest Common Divisior

We found the divisors of 495, 736, 749, 476 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 495, 736, 749, 476 is 1.

Therefore, GCD of numbers 495, 736, 749, 476 is 1

Given Input Data is 495, 736, 749, 476

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 736 is 2 x 2 x 2 x 2 x 2 x 23

Prime Factorization of 749 is 7 x 107

Prime Factorization of 476 is 2 x 2 x 7 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, 736) = 364320

GCD(495, 736) = ( 495 x 736 ) / 364320

GCD(495, 736) = 364320 / 364320

GCD(495, 736) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 749

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

LCM(1, 749) = 749

GCD(1, 749) = ( 1 x 749 ) / 749

GCD(1, 749) = 749 / 749

GCD(1, 749) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 476

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

LCM(1, 476) = 476

GCD(1, 476) = ( 1 x 476 ) / 476

GCD(1, 476) = 476 / 476

GCD(1, 476) = 1

GCD of 495, 736, 749, 476 is 1

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1. What is the GCD of 495, 736, 749, 476?

GCD of 495, 736, 749, 476 is 1

2. Where do I get the detailed procedure to find GCD of 495, 736, 749, 476?

You can find a detailed procedure to find GCD of 495, 736, 749, 476 on our page.

3. How to find GCD of 495, 736, 749, 476 on a calculator?

You can find the GCD of 495, 736, 749, 476 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.