GCD of 634, 996, 916, 997 Calculator

Given Input numbers are 634, 996, 916, 997

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

Divisors of 634

List of positive integer divisors of 634 that divides 634 without a remainder.

1, 2, 317, 634

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Divisors of 997

List of positive integer divisors of 997 that divides 997 without a remainder.

1, 997

Greatest Common Divisior

We found the divisors of 634, 996, 916, 997 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 634, 996, 916, 997 is 1.

Therefore, GCD of numbers 634, 996, 916, 997 is 1

Given Input Data is 634, 996, 916, 997

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

Prime Factorization of 634 is 2 x 317

Prime Factorization of 996 is 2 x 2 x 3 x 83

Prime Factorization of 916 is 2 x 2 x 229

Prime Factorization of 997 is 997

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(634, 996) = 315732

GCD(634, 996) = ( 634 x 996 ) / 315732

GCD(634, 996) = 631464 / 315732

GCD(634, 996) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 916

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

LCM(2, 916) = 916

GCD(2, 916) = ( 2 x 916 ) / 916

GCD(2, 916) = 1832 / 916

GCD(2, 916) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 997

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

LCM(2, 997) = 1994

GCD(2, 997) = ( 2 x 997 ) / 1994

GCD(2, 997) = 1994 / 1994

GCD(2, 997) = 1

GCD of 634, 996, 916, 997 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 381, 237, 821, 816
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• GCD of 597, 883, 704, 588
• GCD of 451, 596, 169, 524

1. What is the GCD of 634, 996, 916, 997?

GCD of 634, 996, 916, 997 is 1

2. Where do I get the detailed procedure to find GCD of 634, 996, 916, 997?

You can find a detailed procedure to find GCD of 634, 996, 916, 997 on our page.

3. How to find GCD of 634, 996, 916, 997 on a calculator?

You can find the GCD of 634, 996, 916, 997 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.