GCD of 969, 142, 320, 282 Calculator

Given Input numbers are 969, 142, 320, 282

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

Divisors of 969

List of positive integer divisors of 969 that divides 969 without a remainder.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

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 969, 142, 320, 282 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 969, 142, 320, 282 is 1.

Therefore, GCD of numbers 969, 142, 320, 282 is 1

Given Input Data is 969, 142, 320, 282

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

Prime Factorization of 969 is 3 x 17 x 19

Prime Factorization of 142 is 2 x 71

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 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(969, 142) = 137598

GCD(969, 142) = ( 969 x 142 ) / 137598

GCD(969, 142) = 137598 / 137598

GCD(969, 142) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 320

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

LCM(1, 320) = 320

GCD(1, 320) = ( 1 x 320 ) / 320

GCD(1, 320) = 320 / 320

GCD(1, 320) = 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 969, 142, 320, 282 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 341, 499, 309, 304
• GCD of 565, 267, 293, 397
• GCD of 612, 895, 122, 410
• GCD of 376, 650, 341, 683
• GCD of 686, 870, 602, 526

1. What is the GCD of 969, 142, 320, 282?

GCD of 969, 142, 320, 282 is 1

2. Where do I get the detailed procedure to find GCD of 969, 142, 320, 282?

You can find a detailed procedure to find GCD of 969, 142, 320, 282 on our page.

3. How to find GCD of 969, 142, 320, 282 on a calculator?

You can find the GCD of 969, 142, 320, 282 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.