GCD of 469, 770, 81, 705 Calculator

Given Input numbers are 469, 770, 81, 705

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

Divisors of 469

List of positive integer divisors of 469 that divides 469 without a remainder.

1, 7, 67, 469

Divisors of 770

List of positive integer divisors of 770 that divides 770 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Divisors of 81

List of positive integer divisors of 81 that divides 81 without a remainder.

1, 3, 9, 27, 81

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 469, 770, 81, 705 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 469, 770, 81, 705 is 1.

Therefore, GCD of numbers 469, 770, 81, 705 is 1

Given Input Data is 469, 770, 81, 705

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

Prime Factorization of 469 is 7 x 67

Prime Factorization of 770 is 2 x 5 x 7 x 11

Prime Factorization of 81 is 3 x 3 x 3 x 3

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(469, 770) = 51590

GCD(469, 770) = ( 469 x 770 ) / 51590

GCD(469, 770) = 361130 / 51590

GCD(469, 770) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 81

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

LCM(7, 81) = 567

GCD(7, 81) = ( 7 x 81 ) / 567

GCD(7, 81) = 567 / 567

GCD(7, 81) = 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 469, 770, 81, 705 is 1

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1. What is the GCD of 469, 770, 81, 705?

GCD of 469, 770, 81, 705 is 1

2. Where do I get the detailed procedure to find GCD of 469, 770, 81, 705?

You can find a detailed procedure to find GCD of 469, 770, 81, 705 on our page.

3. How to find GCD of 469, 770, 81, 705 on a calculator?

You can find the GCD of 469, 770, 81, 705 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.