GCD of 116, 945, 29, 240 Calculator

Given Input numbers are 116, 945, 29, 240

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 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Greatest Common Divisior

We found the divisors of 116, 945, 29, 240 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 116, 945, 29, 240 is 1.

Therefore, GCD of numbers 116, 945, 29, 240 is 1

Given Input Data is 116, 945, 29, 240

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 945 is 3 x 3 x 3 x 5 x 7

Prime Factorization of 29 is 29

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

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, 945) = 109620

GCD(116, 945) = ( 116 x 945 ) / 109620

GCD(116, 945) = 109620 / 109620

GCD(116, 945) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 29

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

LCM(1, 29) = 29

GCD(1, 29) = ( 1 x 29 ) / 29

GCD(1, 29) = 29 / 29

GCD(1, 29) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 240

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

LCM(1, 240) = 240

GCD(1, 240) = ( 1 x 240 ) / 240

GCD(1, 240) = 240 / 240

GCD(1, 240) = 1

GCD of 116, 945, 29, 240 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 105, 421, 89, 135
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• GCD of 882, 236, 54, 250

1. What is the GCD of 116, 945, 29, 240?

GCD of 116, 945, 29, 240 is 1

2. Where do I get the detailed procedure to find GCD of 116, 945, 29, 240?

You can find a detailed procedure to find GCD of 116, 945, 29, 240 on our page.

3. How to find GCD of 116, 945, 29, 240 on a calculator?

You can find the GCD of 116, 945, 29, 240 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.