GCD of 143, 658, 75, 282 Calculator

Given Input numbers are 143, 658, 75, 282

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

Divisors of 143

List of positive integer divisors of 143 that divides 143 without a remainder.

1, 11, 13, 143

Divisors of 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 282

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

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

Greatest Common Divisior

We found the divisors of 143, 658, 75, 282 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 143, 658, 75, 282 is 1.

Therefore, GCD of numbers 143, 658, 75, 282 is 1

Given Input Data is 143, 658, 75, 282

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

Prime Factorization of 143 is 11 x 13

Prime Factorization of 658 is 2 x 7 x 47

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 282 is 2 x 3 x 47

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(143, 658) = 94094

GCD(143, 658) = ( 143 x 658 ) / 94094

GCD(143, 658) = 94094 / 94094

GCD(143, 658) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 75

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

LCM(1, 75) = 75

GCD(1, 75) = ( 1 x 75 ) / 75

GCD(1, 75) = 75 / 75

GCD(1, 75) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 282

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

LCM(1, 282) = 282

GCD(1, 282) = ( 1 x 282 ) / 282

GCD(1, 282) = 282 / 282

GCD(1, 282) = 1

GCD of 143, 658, 75, 282 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 682, 172, 94, 163
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• GCD of 594, 576, 20, 866

1. What is the GCD of 143, 658, 75, 282?

GCD of 143, 658, 75, 282 is 1

2. Where do I get the detailed procedure to find GCD of 143, 658, 75, 282?

You can find a detailed procedure to find GCD of 143, 658, 75, 282 on our page.

3. How to find GCD of 143, 658, 75, 282 on a calculator?

You can find the GCD of 143, 658, 75, 282 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.