GCD of 134, 899, 916, 196 Calculator

Given Input numbers are 134, 899, 916, 196

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 899

List of positive integer divisors of 899 that divides 899 without a remainder.

1, 29, 31, 899

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Divisors of 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

Greatest Common Divisior

We found the divisors of 134, 899, 916, 196 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 134, 899, 916, 196 is 1.

Therefore, GCD of numbers 134, 899, 916, 196 is 1

Given Input Data is 134, 899, 916, 196

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

Prime Factorization of 134 is 2 x 67

Prime Factorization of 899 is 29 x 31

Prime Factorization of 916 is 2 x 2 x 229

Prime Factorization of 196 is 2 x 2 x 7 x 7

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, 899) = 120466

GCD(134, 899) = ( 134 x 899 ) / 120466

GCD(134, 899) = 120466 / 120466

GCD(134, 899) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 916

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

LCM(1, 916) = 916

GCD(1, 916) = ( 1 x 916 ) / 916

GCD(1, 916) = 916 / 916

GCD(1, 916) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 196

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

LCM(1, 196) = 196

GCD(1, 196) = ( 1 x 196 ) / 196

GCD(1, 196) = 196 / 196

GCD(1, 196) = 1

GCD of 134, 899, 916, 196 is 1

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1. What is the GCD of 134, 899, 916, 196?

GCD of 134, 899, 916, 196 is 1

2. Where do I get the detailed procedure to find GCD of 134, 899, 916, 196?

You can find a detailed procedure to find GCD of 134, 899, 916, 196 on our page.

3. How to find GCD of 134, 899, 916, 196 on a calculator?

You can find the GCD of 134, 899, 916, 196 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.