GCD of 960, 906, 58, 941 Calculator

Given Input numbers are 960, 906, 58, 941

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 906

List of positive integer divisors of 906 that divides 906 without a remainder.

1, 2, 3, 6, 151, 302, 453, 906

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 941

List of positive integer divisors of 941 that divides 941 without a remainder.

1, 941

Greatest Common Divisior

We found the divisors of 960, 906, 58, 941 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 960, 906, 58, 941 is 1.

Therefore, GCD of numbers 960, 906, 58, 941 is 1

Given Input Data is 960, 906, 58, 941

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 906 is 2 x 3 x 151

Prime Factorization of 58 is 2 x 29

Prime Factorization of 941 is 941

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, 906) = 144960

GCD(960, 906) = ( 960 x 906 ) / 144960

GCD(960, 906) = 869760 / 144960

GCD(960, 906) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 58

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

LCM(6, 58) = 174

GCD(6, 58) = ( 6 x 58 ) / 174

GCD(6, 58) = 348 / 174

GCD(6, 58) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 941

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

LCM(2, 941) = 1882

GCD(2, 941) = ( 2 x 941 ) / 1882

GCD(2, 941) = 1882 / 1882

GCD(2, 941) = 1

GCD of 960, 906, 58, 941 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 156, 236, 83, 570
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• GCD of 151, 325, 80, 973
• GCD of 162, 774, 66, 266

1. What is the GCD of 960, 906, 58, 941?

GCD of 960, 906, 58, 941 is 1

2. Where do I get the detailed procedure to find GCD of 960, 906, 58, 941?

You can find a detailed procedure to find GCD of 960, 906, 58, 941 on our page.

3. How to find GCD of 960, 906, 58, 941 on a calculator?

You can find the GCD of 960, 906, 58, 941 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.