GCD of 134, 285, 692 Calculator

Given Input numbers are 134, 285, 692

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

Divisors of 134

List of positive integer divisors of 134 that divides 134 without a remainder.

1, 2, 67, 134

Divisors of 285

List of positive integer divisors of 285 that divides 285 without a remainder.

1, 3, 5, 15, 19, 57, 95, 285

Divisors of 692

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

1, 2, 4, 173, 346, 692

Greatest Common Divisior

We found the divisors of 134, 285, 692 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 134, 285, 692 is 1.

Therefore, GCD of numbers 134, 285, 692 is 1

Given Input Data is 134, 285, 692

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

Prime Factorization of 134 is 2 x 67

Prime Factorization of 285 is 3 x 5 x 19

Prime Factorization of 692 is 2 x 2 x 173

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(134, 285) = 38190

GCD(134, 285) = ( 134 x 285 ) / 38190

GCD(134, 285) = 38190 / 38190

GCD(134, 285) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 692

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

LCM(1, 692) = 692

GCD(1, 692) = ( 1 x 692 ) / 692

GCD(1, 692) = 692 / 692

GCD(1, 692) = 1

GCD of 134, 285, 692 is 1

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1. What is the GCD of 134, 285, 692?

GCD of 134, 285, 692 is 1

2. Where do I get the detailed procedure to find GCD of 134, 285, 692?

You can find a detailed procedure to find GCD of 134, 285, 692 on our page.

3. How to find GCD of 134, 285, 692 on a calculator?

You can find the GCD of 134, 285, 692 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.