GCD of 996, 878, 955, 617 Calculator

Given Input numbers are 996, 878, 955, 617

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

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 878

List of positive integer divisors of 878 that divides 878 without a remainder.

1, 2, 439, 878

Divisors of 955

List of positive integer divisors of 955 that divides 955 without a remainder.

1, 5, 191, 955

Divisors of 617

List of positive integer divisors of 617 that divides 617 without a remainder.

1, 617

Greatest Common Divisior

We found the divisors of 996, 878, 955, 617 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 996, 878, 955, 617 is 1.

Therefore, GCD of numbers 996, 878, 955, 617 is 1

Given Input Data is 996, 878, 955, 617

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

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

Prime Factorization of 878 is 2 x 439

Prime Factorization of 955 is 5 x 191

Prime Factorization of 617 is 617

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(996, 878) = 437244

GCD(996, 878) = ( 996 x 878 ) / 437244

GCD(996, 878) = 874488 / 437244

GCD(996, 878) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 955

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

LCM(2, 955) = 1910

GCD(2, 955) = ( 2 x 955 ) / 1910

GCD(2, 955) = 1910 / 1910

GCD(2, 955) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 617

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

LCM(1, 617) = 617

GCD(1, 617) = ( 1 x 617 ) / 617

GCD(1, 617) = 617 / 617

GCD(1, 617) = 1

GCD of 996, 878, 955, 617 is 1

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1. What is the GCD of 996, 878, 955, 617?

GCD of 996, 878, 955, 617 is 1

2. Where do I get the detailed procedure to find GCD of 996, 878, 955, 617?

You can find a detailed procedure to find GCD of 996, 878, 955, 617 on our page.

3. How to find GCD of 996, 878, 955, 617 on a calculator?

You can find the GCD of 996, 878, 955, 617 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.