GCD of 921, 324, 926, 705 Calculator

Given Input numbers are 921, 324, 926, 705

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

Divisors of 921

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

1, 3, 307, 921

Divisors of 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 926

List of positive integer divisors of 926 that divides 926 without a remainder.

1, 2, 463, 926

Divisors of 705

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

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

Greatest Common Divisior

We found the divisors of 921, 324, 926, 705 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 921, 324, 926, 705 is 1.

Therefore, GCD of numbers 921, 324, 926, 705 is 1

Given Input Data is 921, 324, 926, 705

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

Prime Factorization of 921 is 3 x 307

Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 926 is 2 x 463

Prime Factorization of 705 is 3 x 5 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(921, 324) = 99468

GCD(921, 324) = ( 921 x 324 ) / 99468

GCD(921, 324) = 298404 / 99468

GCD(921, 324) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 926

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

LCM(3, 926) = 2778

GCD(3, 926) = ( 3 x 926 ) / 2778

GCD(3, 926) = 2778 / 2778

GCD(3, 926) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 705

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

LCM(1, 705) = 705

GCD(1, 705) = ( 1 x 705 ) / 705

GCD(1, 705) = 705 / 705

GCD(1, 705) = 1

GCD of 921, 324, 926, 705 is 1

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1. What is the GCD of 921, 324, 926, 705?

GCD of 921, 324, 926, 705 is 1

2. Where do I get the detailed procedure to find GCD of 921, 324, 926, 705?

You can find a detailed procedure to find GCD of 921, 324, 926, 705 on our page.

3. How to find GCD of 921, 324, 926, 705 on a calculator?

You can find the GCD of 921, 324, 926, 705 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.