GCD of 849, 343, 134, 768 Calculator

Given Input numbers are 849, 343, 134, 768

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

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Divisors of 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Divisors of 134

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

1, 2, 67, 134

Divisors of 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Greatest Common Divisior

We found the divisors of 849, 343, 134, 768 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 849, 343, 134, 768 is 1.

Therefore, GCD of numbers 849, 343, 134, 768 is 1

Given Input Data is 849, 343, 134, 768

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

Prime Factorization of 849 is 3 x 283

Prime Factorization of 343 is 7 x 7 x 7

Prime Factorization of 134 is 2 x 67

Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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(849, 343) = 291207

GCD(849, 343) = ( 849 x 343 ) / 291207

GCD(849, 343) = 291207 / 291207

GCD(849, 343) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 134

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

LCM(1, 134) = 134

GCD(1, 134) = ( 1 x 134 ) / 134

GCD(1, 134) = 134 / 134

GCD(1, 134) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 768

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

LCM(1, 768) = 768

GCD(1, 768) = ( 1 x 768 ) / 768

GCD(1, 768) = 768 / 768

GCD(1, 768) = 1

GCD of 849, 343, 134, 768 is 1

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1. What is the GCD of 849, 343, 134, 768?

GCD of 849, 343, 134, 768 is 1

2. Where do I get the detailed procedure to find GCD of 849, 343, 134, 768?

You can find a detailed procedure to find GCD of 849, 343, 134, 768 on our page.

3. How to find GCD of 849, 343, 134, 768 on a calculator?

You can find the GCD of 849, 343, 134, 768 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.