GCD of 475, 989, 366, 496 Calculator

Given Input numbers are 475, 989, 366, 496

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

Divisors of 475

List of positive integer divisors of 475 that divides 475 without a remainder.

1, 5, 19, 25, 95, 475

Divisors of 989

List of positive integer divisors of 989 that divides 989 without a remainder.

1, 23, 43, 989

Divisors of 366

List of positive integer divisors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

Divisors of 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Greatest Common Divisior

We found the divisors of 475, 989, 366, 496 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 475, 989, 366, 496 is 1.

Therefore, GCD of numbers 475, 989, 366, 496 is 1

Given Input Data is 475, 989, 366, 496

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

Prime Factorization of 475 is 5 x 5 x 19

Prime Factorization of 989 is 23 x 43

Prime Factorization of 366 is 2 x 3 x 61

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

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(475, 989) = 469775

GCD(475, 989) = ( 475 x 989 ) / 469775

GCD(475, 989) = 469775 / 469775

GCD(475, 989) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 366

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

LCM(1, 366) = 366

GCD(1, 366) = ( 1 x 366 ) / 366

GCD(1, 366) = 366 / 366

GCD(1, 366) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 496

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

LCM(1, 496) = 496

GCD(1, 496) = ( 1 x 496 ) / 496

GCD(1, 496) = 496 / 496

GCD(1, 496) = 1

GCD of 475, 989, 366, 496 is 1

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1. What is the GCD of 475, 989, 366, 496?

GCD of 475, 989, 366, 496 is 1

2. Where do I get the detailed procedure to find GCD of 475, 989, 366, 496?

You can find a detailed procedure to find GCD of 475, 989, 366, 496 on our page.

3. How to find GCD of 475, 989, 366, 496 on a calculator?

You can find the GCD of 475, 989, 366, 496 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.