GCD of 765, 706, 275, 338 Calculator

Given Input numbers are 765, 706, 275, 338

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

Divisors of 765

List of positive integer divisors of 765 that divides 765 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Divisors of 275

List of positive integer divisors of 275 that divides 275 without a remainder.

1, 5, 11, 25, 55, 275

Divisors of 338

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

1, 2, 13, 26, 169, 338

Greatest Common Divisior

We found the divisors of 765, 706, 275, 338 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 765, 706, 275, 338 is 1.

Therefore, GCD of numbers 765, 706, 275, 338 is 1

Given Input Data is 765, 706, 275, 338

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

Prime Factorization of 765 is 3 x 3 x 5 x 17

Prime Factorization of 706 is 2 x 353

Prime Factorization of 275 is 5 x 5 x 11

Prime Factorization of 338 is 2 x 13 x 13

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(765, 706) = 540090

GCD(765, 706) = ( 765 x 706 ) / 540090

GCD(765, 706) = 540090 / 540090

GCD(765, 706) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 275

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

LCM(1, 275) = 275

GCD(1, 275) = ( 1 x 275 ) / 275

GCD(1, 275) = 275 / 275

GCD(1, 275) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 338

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

LCM(1, 338) = 338

GCD(1, 338) = ( 1 x 338 ) / 338

GCD(1, 338) = 338 / 338

GCD(1, 338) = 1

GCD of 765, 706, 275, 338 is 1

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• GCD of 799, 709, 111, 807
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1. What is the GCD of 765, 706, 275, 338?

GCD of 765, 706, 275, 338 is 1

2. Where do I get the detailed procedure to find GCD of 765, 706, 275, 338?

You can find a detailed procedure to find GCD of 765, 706, 275, 338 on our page.

3. How to find GCD of 765, 706, 275, 338 on a calculator?

You can find the GCD of 765, 706, 275, 338 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.