GCD of 467, 338, 770, 738 Calculator

Given Input numbers are 467, 338, 770, 738

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

Divisors of 467

List of positive integer divisors of 467 that divides 467 without a remainder.

1, 467

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

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 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Greatest Common Divisior

We found the divisors of 467, 338, 770, 738 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 467, 338, 770, 738 is 1.

Therefore, GCD of numbers 467, 338, 770, 738 is 1

Given Input Data is 467, 338, 770, 738

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

Prime Factorization of 467 is 467

Prime Factorization of 338 is 2 x 13 x 13

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

Prime Factorization of 738 is 2 x 3 x 3 x 41

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(467, 338) = 157846

GCD(467, 338) = ( 467 x 338 ) / 157846

GCD(467, 338) = 157846 / 157846

GCD(467, 338) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 770

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

LCM(1, 770) = 770

GCD(1, 770) = ( 1 x 770 ) / 770

GCD(1, 770) = 770 / 770

GCD(1, 770) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 738

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

LCM(1, 738) = 738

GCD(1, 738) = ( 1 x 738 ) / 738

GCD(1, 738) = 738 / 738

GCD(1, 738) = 1

GCD of 467, 338, 770, 738 is 1

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1. What is the GCD of 467, 338, 770, 738?

GCD of 467, 338, 770, 738 is 1

2. Where do I get the detailed procedure to find GCD of 467, 338, 770, 738?

You can find a detailed procedure to find GCD of 467, 338, 770, 738 on our page.

3. How to find GCD of 467, 338, 770, 738 on a calculator?

You can find the GCD of 467, 338, 770, 738 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.