GCD of 674, 829, 49, 134 Calculator

Given Input numbers are 674, 829, 49, 134

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

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Divisors of 829

List of positive integer divisors of 829 that divides 829 without a remainder.

1, 829

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 134

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

1, 2, 67, 134

Greatest Common Divisior

We found the divisors of 674, 829, 49, 134 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 674, 829, 49, 134 is 1.

Therefore, GCD of numbers 674, 829, 49, 134 is 1

Given Input Data is 674, 829, 49, 134

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

Prime Factorization of 674 is 2 x 337

Prime Factorization of 829 is 829

Prime Factorization of 49 is 7 x 7

Prime Factorization of 134 is 2 x 67

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(674, 829) = 558746

GCD(674, 829) = ( 674 x 829 ) / 558746

GCD(674, 829) = 558746 / 558746

GCD(674, 829) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 49

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

LCM(1, 49) = 49

GCD(1, 49) = ( 1 x 49 ) / 49

GCD(1, 49) = 49 / 49

GCD(1, 49) = 1

Step3:

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

GCD of 674, 829, 49, 134 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 764, 203, 54, 159
• GCD of 445, 450, 19, 126
• GCD of 337, 805, 74, 842
• GCD of 800, 112, 76, 829
• GCD of 616, 232, 29, 523

1. What is the GCD of 674, 829, 49, 134?

GCD of 674, 829, 49, 134 is 1

2. Where do I get the detailed procedure to find GCD of 674, 829, 49, 134?

You can find a detailed procedure to find GCD of 674, 829, 49, 134 on our page.

3. How to find GCD of 674, 829, 49, 134 on a calculator?

You can find the GCD of 674, 829, 49, 134 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.