GCD of 282, 705, 69, 148 Calculator

Given Input numbers are 282, 705, 69, 148

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 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Greatest Common Divisior

We found the divisors of 282, 705, 69, 148 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 282, 705, 69, 148 is 1.

Therefore, GCD of numbers 282, 705, 69, 148 is 1

Given Input Data is 282, 705, 69, 148

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 705 is 3 x 5 x 47

Prime Factorization of 69 is 3 x 23

Prime Factorization of 148 is 2 x 2 x 37

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, 705) = 1410

GCD(282, 705) = ( 282 x 705 ) / 1410

GCD(282, 705) = 198810 / 1410

GCD(282, 705) = 141

Step2:

Here we consider the GCD from the above i.e. 141 as first number and the next as 69

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

LCM(141, 69) = 3243

GCD(141, 69) = ( 141 x 69 ) / 3243

GCD(141, 69) = 9729 / 3243

GCD(141, 69) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 148

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

LCM(3, 148) = 444

GCD(3, 148) = ( 3 x 148 ) / 444

GCD(3, 148) = 444 / 444

GCD(3, 148) = 1

GCD of 282, 705, 69, 148 is 1

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• GCD of 361, 470, 98, 213
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1. What is the GCD of 282, 705, 69, 148?

GCD of 282, 705, 69, 148 is 1

2. Where do I get the detailed procedure to find GCD of 282, 705, 69, 148?

You can find a detailed procedure to find GCD of 282, 705, 69, 148 on our page.

3. How to find GCD of 282, 705, 69, 148 on a calculator?

You can find the GCD of 282, 705, 69, 148 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.