GCD of 960, 345, 93, 736 Calculator

Given Input numbers are 960, 345, 93, 736

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 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 93

List of positive integer divisors of 93 that divides 93 without a remainder.

1, 3, 31, 93

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Greatest Common Divisior

We found the divisors of 960, 345, 93, 736 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 960, 345, 93, 736 is 1.

Therefore, GCD of numbers 960, 345, 93, 736 is 1

Given Input Data is 960, 345, 93, 736

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 345 is 3 x 5 x 23

Prime Factorization of 93 is 3 x 31

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

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, 345) = 22080

GCD(960, 345) = ( 960 x 345 ) / 22080

GCD(960, 345) = 331200 / 22080

GCD(960, 345) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 93

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

LCM(15, 93) = 465

GCD(15, 93) = ( 15 x 93 ) / 465

GCD(15, 93) = 1395 / 465

GCD(15, 93) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 736

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

LCM(3, 736) = 2208

GCD(3, 736) = ( 3 x 736 ) / 2208

GCD(3, 736) = 2208 / 2208

GCD(3, 736) = 1

GCD of 960, 345, 93, 736 is 1

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1. What is the GCD of 960, 345, 93, 736?

GCD of 960, 345, 93, 736 is 1

2. Where do I get the detailed procedure to find GCD of 960, 345, 93, 736?

You can find a detailed procedure to find GCD of 960, 345, 93, 736 on our page.

3. How to find GCD of 960, 345, 93, 736 on a calculator?

You can find the GCD of 960, 345, 93, 736 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.