GCD of 960, 945, 349, 313 Calculator

Given Input numbers are 960, 945, 349, 313

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 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 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Greatest Common Divisior

We found the divisors of 960, 945, 349, 313 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 960, 945, 349, 313 is 1.

Therefore, GCD of numbers 960, 945, 349, 313 is 1

Given Input Data is 960, 945, 349, 313

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 945 is 3 x 3 x 3 x 5 x 7

Prime Factorization of 349 is 349

Prime Factorization of 313 is 313

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, 945) = 60480

GCD(960, 945) = ( 960 x 945 ) / 60480

GCD(960, 945) = 907200 / 60480

GCD(960, 945) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 349

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

LCM(15, 349) = 5235

GCD(15, 349) = ( 15 x 349 ) / 5235

GCD(15, 349) = 5235 / 5235

GCD(15, 349) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 313

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

LCM(1, 313) = 313

GCD(1, 313) = ( 1 x 313 ) / 313

GCD(1, 313) = 313 / 313

GCD(1, 313) = 1

GCD of 960, 945, 349, 313 is 1

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1. What is the GCD of 960, 945, 349, 313?

GCD of 960, 945, 349, 313 is 1

2. Where do I get the detailed procedure to find GCD of 960, 945, 349, 313?

You can find a detailed procedure to find GCD of 960, 945, 349, 313 on our page.

3. How to find GCD of 960, 945, 349, 313 on a calculator?

You can find the GCD of 960, 945, 349, 313 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.