GCD of 705, 890, 847, 321 Calculator

Given Input numbers are 705, 890, 847, 321

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 890

List of positive integer divisors of 890 that divides 890 without a remainder.

1, 2, 5, 10, 89, 178, 445, 890

Divisors of 847

List of positive integer divisors of 847 that divides 847 without a remainder.

1, 7, 11, 77, 121, 847

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Greatest Common Divisior

We found the divisors of 705, 890, 847, 321 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 705, 890, 847, 321 is 1.

Therefore, GCD of numbers 705, 890, 847, 321 is 1

Given Input Data is 705, 890, 847, 321

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 890 is 2 x 5 x 89

Prime Factorization of 847 is 7 x 11 x 11

Prime Factorization of 321 is 3 x 107

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, 890) = 125490

GCD(705, 890) = ( 705 x 890 ) / 125490

GCD(705, 890) = 627450 / 125490

GCD(705, 890) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 847

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

LCM(5, 847) = 4235

GCD(5, 847) = ( 5 x 847 ) / 4235

GCD(5, 847) = 4235 / 4235

GCD(5, 847) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 321

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

LCM(1, 321) = 321

GCD(1, 321) = ( 1 x 321 ) / 321

GCD(1, 321) = 321 / 321

GCD(1, 321) = 1

GCD of 705, 890, 847, 321 is 1

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1. What is the GCD of 705, 890, 847, 321?

GCD of 705, 890, 847, 321 is 1

2. Where do I get the detailed procedure to find GCD of 705, 890, 847, 321?

You can find a detailed procedure to find GCD of 705, 890, 847, 321 on our page.

3. How to find GCD of 705, 890, 847, 321 on a calculator?

You can find the GCD of 705, 890, 847, 321 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.