GCD of 135, 692, 356 Calculator

Given Input numbers are 135, 692, 356

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 692

List of positive integer divisors of 692 that divides 692 without a remainder.

1, 2, 4, 173, 346, 692

Divisors of 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Greatest Common Divisior

We found the divisors of 135, 692, 356 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 135, 692, 356 is 1.

Therefore, GCD of numbers 135, 692, 356 is 1

Given Input Data is 135, 692, 356

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 692 is 2 x 2 x 173

Prime Factorization of 356 is 2 x 2 x 89

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, 692) = 93420

GCD(135, 692) = ( 135 x 692 ) / 93420

GCD(135, 692) = 93420 / 93420

GCD(135, 692) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 356

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

LCM(1, 356) = 356

GCD(1, 356) = ( 1 x 356 ) / 356

GCD(1, 356) = 356 / 356

GCD(1, 356) = 1

GCD of 135, 692, 356 is 1

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• GCD of 268, 330, 139
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1. What is the GCD of 135, 692, 356?

GCD of 135, 692, 356 is 1

2. Where do I get the detailed procedure to find GCD of 135, 692, 356?

You can find a detailed procedure to find GCD of 135, 692, 356 on our page.

3. How to find GCD of 135, 692, 356 on a calculator?

You can find the GCD of 135, 692, 356 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.