GCD of 116, 914, 44, 961 Calculator

Given Input numbers are 116, 914, 44, 961

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

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Divisors of 44

List of positive integer divisors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

Divisors of 961

List of positive integer divisors of 961 that divides 961 without a remainder.

1, 31, 961

Greatest Common Divisior

We found the divisors of 116, 914, 44, 961 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 116, 914, 44, 961 is 1.

Therefore, GCD of numbers 116, 914, 44, 961 is 1

Given Input Data is 116, 914, 44, 961

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

Prime Factorization of 116 is 2 x 2 x 29

Prime Factorization of 914 is 2 x 457

Prime Factorization of 44 is 2 x 2 x 11

Prime Factorization of 961 is 31 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(116, 914) = 53012

GCD(116, 914) = ( 116 x 914 ) / 53012

GCD(116, 914) = 106024 / 53012

GCD(116, 914) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 44

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

LCM(2, 44) = 44

GCD(2, 44) = ( 2 x 44 ) / 44

GCD(2, 44) = 88 / 44

GCD(2, 44) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 961

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

LCM(2, 961) = 1922

GCD(2, 961) = ( 2 x 961 ) / 1922

GCD(2, 961) = 1922 / 1922

GCD(2, 961) = 1

GCD of 116, 914, 44, 961 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 983, 926, 95, 160
• GCD of 729, 752, 79, 660
• GCD of 516, 226, 88, 478
• GCD of 578, 110, 58, 343
• GCD of 622, 443, 13, 784

1. What is the GCD of 116, 914, 44, 961?

GCD of 116, 914, 44, 961 is 1

2. Where do I get the detailed procedure to find GCD of 116, 914, 44, 961?

You can find a detailed procedure to find GCD of 116, 914, 44, 961 on our page.

3. How to find GCD of 116, 914, 44, 961 on a calculator?

You can find the GCD of 116, 914, 44, 961 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.