GCD of 134, 856, 149, 142 Calculator

Given Input numbers are 134, 856, 149, 142

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 856

List of positive integer divisors of 856 that divides 856 without a remainder.

1, 2, 4, 8, 107, 214, 428, 856

Divisors of 149

List of positive integer divisors of 149 that divides 149 without a remainder.

1, 149

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Greatest Common Divisior

We found the divisors of 134, 856, 149, 142 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 134, 856, 149, 142 is 1.

Therefore, GCD of numbers 134, 856, 149, 142 is 1

Given Input Data is 134, 856, 149, 142

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

Prime Factorization of 134 is 2 x 67

Prime Factorization of 856 is 2 x 2 x 2 x 107

Prime Factorization of 149 is 149

Prime Factorization of 142 is 2 x 71

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, 856) = 57352

GCD(134, 856) = ( 134 x 856 ) / 57352

GCD(134, 856) = 114704 / 57352

GCD(134, 856) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 149

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

LCM(2, 149) = 298

GCD(2, 149) = ( 2 x 149 ) / 298

GCD(2, 149) = 298 / 298

GCD(2, 149) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 142

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

LCM(1, 142) = 142

GCD(1, 142) = ( 1 x 142 ) / 142

GCD(1, 142) = 142 / 142

GCD(1, 142) = 1

GCD of 134, 856, 149, 142 is 1

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1. What is the GCD of 134, 856, 149, 142?

GCD of 134, 856, 149, 142 is 1

2. Where do I get the detailed procedure to find GCD of 134, 856, 149, 142?

You can find a detailed procedure to find GCD of 134, 856, 149, 142 on our page.

3. How to find GCD of 134, 856, 149, 142 on a calculator?

You can find the GCD of 134, 856, 149, 142 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.