GCD of 960, 293, 68, 954 Calculator

Given Input numbers are 960, 293, 68, 954

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

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 293

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

1, 293

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 954

List of positive integer divisors of 954 that divides 954 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Greatest Common Divisior

We found the divisors of 960, 293, 68, 954 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 960, 293, 68, 954 is 1.

Therefore, GCD of numbers 960, 293, 68, 954 is 1

Given Input Data is 960, 293, 68, 954

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

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 293 is 293

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 954 is 2 x 3 x 3 x 53

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(960, 293) = 281280

GCD(960, 293) = ( 960 x 293 ) / 281280

GCD(960, 293) = 281280 / 281280

GCD(960, 293) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 68

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

LCM(1, 68) = 68

GCD(1, 68) = ( 1 x 68 ) / 68

GCD(1, 68) = 68 / 68

GCD(1, 68) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 954

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

LCM(1, 954) = 954

GCD(1, 954) = ( 1 x 954 ) / 954

GCD(1, 954) = 954 / 954

GCD(1, 954) = 1

GCD of 960, 293, 68, 954 is 1

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1. What is the GCD of 960, 293, 68, 954?

GCD of 960, 293, 68, 954 is 1

2. Where do I get the detailed procedure to find GCD of 960, 293, 68, 954?

You can find a detailed procedure to find GCD of 960, 293, 68, 954 on our page.

3. How to find GCD of 960, 293, 68, 954 on a calculator?

You can find the GCD of 960, 293, 68, 954 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.