GCD of 705, 891, 79, 945 Calculator

Given Input numbers are 705, 891, 79, 945

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 891

List of positive integer divisors of 891 that divides 891 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Divisors of 79

List of positive integer divisors of 79 that divides 79 without a remainder.

1, 79

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Greatest Common Divisior

We found the divisors of 705, 891, 79, 945 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 705, 891, 79, 945 is 1.

Therefore, GCD of numbers 705, 891, 79, 945 is 1

Given Input Data is 705, 891, 79, 945

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 891 is 3 x 3 x 3 x 3 x 11

Prime Factorization of 79 is 79

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

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, 891) = 209385

GCD(705, 891) = ( 705 x 891 ) / 209385

GCD(705, 891) = 628155 / 209385

GCD(705, 891) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 79

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

LCM(3, 79) = 237

GCD(3, 79) = ( 3 x 79 ) / 237

GCD(3, 79) = 237 / 237

GCD(3, 79) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 945

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

LCM(1, 945) = 945

GCD(1, 945) = ( 1 x 945 ) / 945

GCD(1, 945) = 945 / 945

GCD(1, 945) = 1

GCD of 705, 891, 79, 945 is 1

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1. What is the GCD of 705, 891, 79, 945?

GCD of 705, 891, 79, 945 is 1

2. Where do I get the detailed procedure to find GCD of 705, 891, 79, 945?

You can find a detailed procedure to find GCD of 705, 891, 79, 945 on our page.

3. How to find GCD of 705, 891, 79, 945 on a calculator?

You can find the GCD of 705, 891, 79, 945 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.