GCD of 692, 116, 74, 134 Calculator

Given Input numbers are 692, 116, 74, 134

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

Divisors of 692

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

1, 2, 4, 173, 346, 692

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

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 692, 116, 74, 134 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 692, 116, 74, 134 is 2.

Therefore, GCD of numbers 692, 116, 74, 134 is 2

Given Input Data is 692, 116, 74, 134

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

Prime Factorization of 692 is 2 x 2 x 173

Prime Factorization of 116 is 2 x 2 x 29

Prime Factorization of 74 is 2 x 37

Prime Factorization of 134 is 2 x 67

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(692, 116) = 20068

GCD(692, 116) = ( 692 x 116 ) / 20068

GCD(692, 116) = 80272 / 20068

GCD(692, 116) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 74

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

LCM(4, 74) = 148

GCD(4, 74) = ( 4 x 74 ) / 148

GCD(4, 74) = 296 / 148

GCD(4, 74) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 134

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

LCM(2, 134) = 134

GCD(2, 134) = ( 2 x 134 ) / 134

GCD(2, 134) = 268 / 134

GCD(2, 134) = 2

GCD of 692, 116, 74, 134 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 452, 287, 82, 654
• GCD of 265, 391, 28, 437
• GCD of 462, 665, 62, 856
• GCD of 297, 658, 78, 534
• GCD of 534, 609, 56, 759

1. What is the GCD of 692, 116, 74, 134?

GCD of 692, 116, 74, 134 is 2

2. Where do I get the detailed procedure to find GCD of 692, 116, 74, 134?

You can find a detailed procedure to find GCD of 692, 116, 74, 134 on our page.

3. How to find GCD of 692, 116, 74, 134 on a calculator?

You can find the GCD of 692, 116, 74, 134 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.