GCD of 34, 692, 738, 414 Calculator

Given Input numbers are 34, 692, 738, 414

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

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 692

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

1, 2, 4, 173, 346, 692

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Greatest Common Divisior

We found the divisors of 34, 692, 738, 414 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 34, 692, 738, 414 is 2.

Therefore, GCD of numbers 34, 692, 738, 414 is 2

Given Input Data is 34, 692, 738, 414

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

Prime Factorization of 34 is 2 x 17

Prime Factorization of 692 is 2 x 2 x 173

Prime Factorization of 738 is 2 x 3 x 3 x 41

Prime Factorization of 414 is 2 x 3 x 3 x 23

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(34, 692) = 11764

GCD(34, 692) = ( 34 x 692 ) / 11764

GCD(34, 692) = 23528 / 11764

GCD(34, 692) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 738

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

LCM(2, 738) = 738

GCD(2, 738) = ( 2 x 738 ) / 738

GCD(2, 738) = 1476 / 738

GCD(2, 738) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 414

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

LCM(2, 414) = 414

GCD(2, 414) = ( 2 x 414 ) / 414

GCD(2, 414) = 828 / 414

GCD(2, 414) = 2

GCD of 34, 692, 738, 414 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 86, 727, 101, 733
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• GCD of 41, 493, 383, 432
• GCD of 58, 663, 513, 100

1. What is the GCD of 34, 692, 738, 414?

GCD of 34, 692, 738, 414 is 2

2. Where do I get the detailed procedure to find GCD of 34, 692, 738, 414?

You can find a detailed procedure to find GCD of 34, 692, 738, 414 on our page.

3. How to find GCD of 34, 692, 738, 414 on a calculator?

You can find the GCD of 34, 692, 738, 414 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.