GCD of 705, 970, 462 Calculator

Given Input numbers are 705, 970, 462

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 970

List of positive integer divisors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Greatest Common Divisior

We found the divisors of 705, 970, 462 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 705, 970, 462 is 1.

Therefore, GCD of numbers 705, 970, 462 is 1

Given Input Data is 705, 970, 462

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 970 is 2 x 5 x 97

Prime Factorization of 462 is 2 x 3 x 7 x 11

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, 970) = 136770

GCD(705, 970) = ( 705 x 970 ) / 136770

GCD(705, 970) = 683850 / 136770

GCD(705, 970) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 462

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

LCM(5, 462) = 2310

GCD(5, 462) = ( 5 x 462 ) / 2310

GCD(5, 462) = 2310 / 2310

GCD(5, 462) = 1

GCD of 705, 970, 462 is 1

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1. What is the GCD of 705, 970, 462?

GCD of 705, 970, 462 is 1

2. Where do I get the detailed procedure to find GCD of 705, 970, 462?

You can find a detailed procedure to find GCD of 705, 970, 462 on our page.

3. How to find GCD of 705, 970, 462 on a calculator?

You can find the GCD of 705, 970, 462 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.