GCD of 282, 962, 23, 175 Calculator

Given Input numbers are 282, 962, 23, 175

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

Divisors of 282

List of positive integer divisors of 282 that divides 282 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282

Divisors of 962

List of positive integer divisors of 962 that divides 962 without a remainder.

1, 2, 13, 26, 37, 74, 481, 962

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 175

List of positive integer divisors of 175 that divides 175 without a remainder.

1, 5, 7, 25, 35, 175

Greatest Common Divisior

We found the divisors of 282, 962, 23, 175 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 282, 962, 23, 175 is 1.

Therefore, GCD of numbers 282, 962, 23, 175 is 1

Given Input Data is 282, 962, 23, 175

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

Prime Factorization of 282 is 2 x 3 x 47

Prime Factorization of 962 is 2 x 13 x 37

Prime Factorization of 23 is 23

Prime Factorization of 175 is 5 x 5 x 7

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(282, 962) = 135642

GCD(282, 962) = ( 282 x 962 ) / 135642

GCD(282, 962) = 271284 / 135642

GCD(282, 962) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 23

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

LCM(2, 23) = 46

GCD(2, 23) = ( 2 x 23 ) / 46

GCD(2, 23) = 46 / 46

GCD(2, 23) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 175

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

LCM(1, 175) = 175

GCD(1, 175) = ( 1 x 175 ) / 175

GCD(1, 175) = 175 / 175

GCD(1, 175) = 1

GCD of 282, 962, 23, 175 is 1

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1. What is the GCD of 282, 962, 23, 175?

GCD of 282, 962, 23, 175 is 1

2. Where do I get the detailed procedure to find GCD of 282, 962, 23, 175?

You can find a detailed procedure to find GCD of 282, 962, 23, 175 on our page.

3. How to find GCD of 282, 962, 23, 175 on a calculator?

You can find the GCD of 282, 962, 23, 175 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.