GCD of 794, 689, 359, 135 Calculator

Given Input numbers are 794, 689, 359, 135

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

Divisors of 794

List of positive integer divisors of 794 that divides 794 without a remainder.

1, 2, 397, 794

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Divisors of 359

List of positive integer divisors of 359 that divides 359 without a remainder.

1, 359

Divisors of 135

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

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

Greatest Common Divisior

We found the divisors of 794, 689, 359, 135 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 794, 689, 359, 135 is 1.

Therefore, GCD of numbers 794, 689, 359, 135 is 1

Given Input Data is 794, 689, 359, 135

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

Prime Factorization of 794 is 2 x 397

Prime Factorization of 689 is 13 x 53

Prime Factorization of 359 is 359

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

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(794, 689) = 547066

GCD(794, 689) = ( 794 x 689 ) / 547066

GCD(794, 689) = 547066 / 547066

GCD(794, 689) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 359

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

LCM(1, 359) = 359

GCD(1, 359) = ( 1 x 359 ) / 359

GCD(1, 359) = 359 / 359

GCD(1, 359) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 135

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

LCM(1, 135) = 135

GCD(1, 135) = ( 1 x 135 ) / 135

GCD(1, 135) = 135 / 135

GCD(1, 135) = 1

GCD of 794, 689, 359, 135 is 1

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1. What is the GCD of 794, 689, 359, 135?

GCD of 794, 689, 359, 135 is 1

2. Where do I get the detailed procedure to find GCD of 794, 689, 359, 135?

You can find a detailed procedure to find GCD of 794, 689, 359, 135 on our page.

3. How to find GCD of 794, 689, 359, 135 on a calculator?

You can find the GCD of 794, 689, 359, 135 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.