GCD of 918, 895, 945, 293 Calculator

Given Input numbers are 918, 895, 945, 293

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

Divisors of 918

List of positive integer divisors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 895

List of positive integer divisors of 895 that divides 895 without a remainder.

1, 5, 179, 895

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 293

List of positive integer divisors of 293 that divides 293 without a remainder.

1, 293

Greatest Common Divisior

We found the divisors of 918, 895, 945, 293 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 918, 895, 945, 293 is 1.

Therefore, GCD of numbers 918, 895, 945, 293 is 1

Given Input Data is 918, 895, 945, 293

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

Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17

Prime Factorization of 895 is 5 x 179

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

Prime Factorization of 293 is 293

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(918, 895) = 821610

GCD(918, 895) = ( 918 x 895 ) / 821610

GCD(918, 895) = 821610 / 821610

GCD(918, 895) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 945

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

LCM(1, 945) = 945

GCD(1, 945) = ( 1 x 945 ) / 945

GCD(1, 945) = 945 / 945

GCD(1, 945) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 293

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

LCM(1, 293) = 293

GCD(1, 293) = ( 1 x 293 ) / 293

GCD(1, 293) = 293 / 293

GCD(1, 293) = 1

GCD of 918, 895, 945, 293 is 1

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1. What is the GCD of 918, 895, 945, 293?

GCD of 918, 895, 945, 293 is 1

2. Where do I get the detailed procedure to find GCD of 918, 895, 945, 293?

You can find a detailed procedure to find GCD of 918, 895, 945, 293 on our page.

3. How to find GCD of 918, 895, 945, 293 on a calculator?

You can find the GCD of 918, 895, 945, 293 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.