GCD of 342, 355, 765, 248 Calculator

Given Input numbers are 342, 355, 765, 248

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

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

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 248

List of positive integer divisors of 248 that divides 248 without a remainder.

1, 2, 4, 8, 31, 62, 124, 248

Greatest Common Divisior

We found the divisors of 342, 355, 765, 248 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 342, 355, 765, 248 is 1.

Therefore, GCD of numbers 342, 355, 765, 248 is 1

Given Input Data is 342, 355, 765, 248

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

Prime Factorization of 342 is 2 x 3 x 3 x 19

Prime Factorization of 355 is 5 x 71

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

Prime Factorization of 248 is 2 x 2 x 2 x 31

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(342, 355) = 121410

GCD(342, 355) = ( 342 x 355 ) / 121410

GCD(342, 355) = 121410 / 121410

GCD(342, 355) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 765

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

LCM(1, 765) = 765

GCD(1, 765) = ( 1 x 765 ) / 765

GCD(1, 765) = 765 / 765

GCD(1, 765) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 248

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

LCM(1, 248) = 248

GCD(1, 248) = ( 1 x 248 ) / 248

GCD(1, 248) = 248 / 248

GCD(1, 248) = 1

GCD of 342, 355, 765, 248 is 1

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1. What is the GCD of 342, 355, 765, 248?

GCD of 342, 355, 765, 248 is 1

2. Where do I get the detailed procedure to find GCD of 342, 355, 765, 248?

You can find a detailed procedure to find GCD of 342, 355, 765, 248 on our page.

3. How to find GCD of 342, 355, 765, 248 on a calculator?

You can find the GCD of 342, 355, 765, 248 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.