GCD of 370, 475, 989, 491 Calculator

Given Input numbers are 370, 475, 989, 491

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

Divisors of 370

List of positive integer divisors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

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 491

List of positive integer divisors of 491 that divides 491 without a remainder.

1, 491

Greatest Common Divisior

We found the divisors of 370, 475, 989, 491 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 370, 475, 989, 491 is 1.

Therefore, GCD of numbers 370, 475, 989, 491 is 1

Given Input Data is 370, 475, 989, 491

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

Prime Factorization of 370 is 2 x 5 x 37

Prime Factorization of 475 is 5 x 5 x 19

Prime Factorization of 989 is 23 x 43

Prime Factorization of 491 is 491

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(370, 475) = 35150

GCD(370, 475) = ( 370 x 475 ) / 35150

GCD(370, 475) = 175750 / 35150

GCD(370, 475) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 989

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

LCM(5, 989) = 4945

GCD(5, 989) = ( 5 x 989 ) / 4945

GCD(5, 989) = 4945 / 4945

GCD(5, 989) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 491

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

LCM(1, 491) = 491

GCD(1, 491) = ( 1 x 491 ) / 491

GCD(1, 491) = 491 / 491

GCD(1, 491) = 1

GCD of 370, 475, 989, 491 is 1

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• GCD of 574, 566, 995, 108
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1. What is the GCD of 370, 475, 989, 491?

GCD of 370, 475, 989, 491 is 1

2. Where do I get the detailed procedure to find GCD of 370, 475, 989, 491?

You can find a detailed procedure to find GCD of 370, 475, 989, 491 on our page.

3. How to find GCD of 370, 475, 989, 491 on a calculator?

You can find the GCD of 370, 475, 989, 491 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.