GCD of 705, 921, 28, 612 Calculator

Given Input numbers are 705, 921, 28, 612

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

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 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 612

List of positive integer divisors of 612 that divides 612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Greatest Common Divisior

We found the divisors of 705, 921, 28, 612 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 705, 921, 28, 612 is 1.

Therefore, GCD of numbers 705, 921, 28, 612 is 1

Given Input Data is 705, 921, 28, 612

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

Prime Factorization of 705 is 3 x 5 x 47

Prime Factorization of 921 is 3 x 307

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17

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(705, 921) = 216435

GCD(705, 921) = ( 705 x 921 ) / 216435

GCD(705, 921) = 649305 / 216435

GCD(705, 921) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 28

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

LCM(3, 28) = 84

GCD(3, 28) = ( 3 x 28 ) / 84

GCD(3, 28) = 84 / 84

GCD(3, 28) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 612

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

LCM(1, 612) = 612

GCD(1, 612) = ( 1 x 612 ) / 612

GCD(1, 612) = 612 / 612

GCD(1, 612) = 1

GCD of 705, 921, 28, 612 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 145, 615, 56, 549
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• GCD of 472, 885, 38, 458

1. What is the GCD of 705, 921, 28, 612?

GCD of 705, 921, 28, 612 is 1

2. Where do I get the detailed procedure to find GCD of 705, 921, 28, 612?

You can find a detailed procedure to find GCD of 705, 921, 28, 612 on our page.

3. How to find GCD of 705, 921, 28, 612 on a calculator?

You can find the GCD of 705, 921, 28, 612 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.