GCD of 135, 348, 688, 773 Calculator

Given Input numbers are 135, 348, 688, 773

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

Divisors of 135

List of positive integer divisors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 773

List of positive integer divisors of 773 that divides 773 without a remainder.

1, 773

Greatest Common Divisior

We found the divisors of 135, 348, 688, 773 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 135, 348, 688, 773 is 1.

Therefore, GCD of numbers 135, 348, 688, 773 is 1

Given Input Data is 135, 348, 688, 773

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

Prime Factorization of 135 is 3 x 3 x 3 x 5

Prime Factorization of 348 is 2 x 2 x 3 x 29

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

Prime Factorization of 773 is 773

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(135, 348) = 15660

GCD(135, 348) = ( 135 x 348 ) / 15660

GCD(135, 348) = 46980 / 15660

GCD(135, 348) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 688

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

LCM(3, 688) = 2064

GCD(3, 688) = ( 3 x 688 ) / 2064

GCD(3, 688) = 2064 / 2064

GCD(3, 688) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 773

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

LCM(1, 773) = 773

GCD(1, 773) = ( 1 x 773 ) / 773

GCD(1, 773) = 773 / 773

GCD(1, 773) = 1

GCD of 135, 348, 688, 773 is 1

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1. What is the GCD of 135, 348, 688, 773?

GCD of 135, 348, 688, 773 is 1

2. Where do I get the detailed procedure to find GCD of 135, 348, 688, 773?

You can find a detailed procedure to find GCD of 135, 348, 688, 773 on our page.

3. How to find GCD of 135, 348, 688, 773 on a calculator?

You can find the GCD of 135, 348, 688, 773 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.