GCD of 284, 924, 35, 969 Calculator

Given Input numbers are 284, 924, 35, 969

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

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Divisors of 924

List of positive integer divisors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

Divisors of 969

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

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

Greatest Common Divisior

We found the divisors of 284, 924, 35, 969 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 284, 924, 35, 969 is 1.

Therefore, GCD of numbers 284, 924, 35, 969 is 1

Given Input Data is 284, 924, 35, 969

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

Prime Factorization of 284 is 2 x 2 x 71

Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11

Prime Factorization of 35 is 5 x 7

Prime Factorization of 969 is 3 x 17 x 19

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(284, 924) = 65604

GCD(284, 924) = ( 284 x 924 ) / 65604

GCD(284, 924) = 262416 / 65604

GCD(284, 924) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 35

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

LCM(4, 35) = 140

GCD(4, 35) = ( 4 x 35 ) / 140

GCD(4, 35) = 140 / 140

GCD(4, 35) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 969

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

LCM(1, 969) = 969

GCD(1, 969) = ( 1 x 969 ) / 969

GCD(1, 969) = 969 / 969

GCD(1, 969) = 1

GCD of 284, 924, 35, 969 is 1

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• GCD of 789, 518, 84, 247
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• GCD of 224, 869, 59, 704

1. What is the GCD of 284, 924, 35, 969?

GCD of 284, 924, 35, 969 is 1

2. Where do I get the detailed procedure to find GCD of 284, 924, 35, 969?

You can find a detailed procedure to find GCD of 284, 924, 35, 969 on our page.

3. How to find GCD of 284, 924, 35, 969 on a calculator?

You can find the GCD of 284, 924, 35, 969 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.