GCD of 106, 620, 75, 282 Calculator

Given Input numbers are 106, 620, 75, 282

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

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 620

List of positive integer divisors of 620 that divides 620 without a remainder.

1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

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 106, 620, 75, 282 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 106, 620, 75, 282 is 1.

Therefore, GCD of numbers 106, 620, 75, 282 is 1

Given Input Data is 106, 620, 75, 282

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

Prime Factorization of 106 is 2 x 53

Prime Factorization of 620 is 2 x 2 x 5 x 31

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(106, 620) = 32860

GCD(106, 620) = ( 106 x 620 ) / 32860

GCD(106, 620) = 65720 / 32860

GCD(106, 620) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 75

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

LCM(2, 75) = 150

GCD(2, 75) = ( 2 x 75 ) / 150

GCD(2, 75) = 150 / 150

GCD(2, 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 106, 620, 75, 282 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 867, 149, 75, 465
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• GCD of 318, 147, 48, 195
• GCD of 374, 491, 50, 869
• GCD of 934, 984, 79, 426

1. What is the GCD of 106, 620, 75, 282?

GCD of 106, 620, 75, 282 is 1

2. Where do I get the detailed procedure to find GCD of 106, 620, 75, 282?

You can find a detailed procedure to find GCD of 106, 620, 75, 282 on our page.

3. How to find GCD of 106, 620, 75, 282 on a calculator?

You can find the GCD of 106, 620, 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.