GCD of 492, 949, 16, 476 Calculator

Given Input numbers are 492, 949, 16, 476

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

Divisors of 492

List of positive integer divisors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 949

List of positive integer divisors of 949 that divides 949 without a remainder.

1, 13, 73, 949

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

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 492, 949, 16, 476 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 492, 949, 16, 476 is 1.

Therefore, GCD of numbers 492, 949, 16, 476 is 1

Given Input Data is 492, 949, 16, 476

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

Prime Factorization of 492 is 2 x 2 x 3 x 41

Prime Factorization of 949 is 13 x 73

Prime Factorization of 16 is 2 x 2 x 2 x 2

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(492, 949) = 466908

GCD(492, 949) = ( 492 x 949 ) / 466908

GCD(492, 949) = 466908 / 466908

GCD(492, 949) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 16

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

LCM(1, 16) = 16

GCD(1, 16) = ( 1 x 16 ) / 16

GCD(1, 16) = 16 / 16

GCD(1, 16) = 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 492, 949, 16, 476 is 1

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• GCD of 548, 337, 14, 467
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1. What is the GCD of 492, 949, 16, 476?

GCD of 492, 949, 16, 476 is 1

2. Where do I get the detailed procedure to find GCD of 492, 949, 16, 476?

You can find a detailed procedure to find GCD of 492, 949, 16, 476 on our page.

3. How to find GCD of 492, 949, 16, 476 on a calculator?

You can find the GCD of 492, 949, 16, 476 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.