GCD of 694, 908, 754, 294 Calculator

Given Input numbers are 694, 908, 754, 294

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

Divisors of 694

List of positive integer divisors of 694 that divides 694 without a remainder.

1, 2, 347, 694

Divisors of 908

List of positive integer divisors of 908 that divides 908 without a remainder.

1, 2, 4, 227, 454, 908

Divisors of 754

List of positive integer divisors of 754 that divides 754 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754

Divisors of 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Greatest Common Divisior

We found the divisors of 694, 908, 754, 294 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 694, 908, 754, 294 is 2.

Therefore, GCD of numbers 694, 908, 754, 294 is 2

Given Input Data is 694, 908, 754, 294

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

Prime Factorization of 694 is 2 x 347

Prime Factorization of 908 is 2 x 2 x 227

Prime Factorization of 754 is 2 x 13 x 29

Prime Factorization of 294 is 2 x 3 x 7 x 7

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(694, 908) = 315076

GCD(694, 908) = ( 694 x 908 ) / 315076

GCD(694, 908) = 630152 / 315076

GCD(694, 908) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 754

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

LCM(2, 754) = 754

GCD(2, 754) = ( 2 x 754 ) / 754

GCD(2, 754) = 1508 / 754

GCD(2, 754) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 294

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

LCM(2, 294) = 294

GCD(2, 294) = ( 2 x 294 ) / 294

GCD(2, 294) = 588 / 294

GCD(2, 294) = 2

GCD of 694, 908, 754, 294 is 2

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1. What is the GCD of 694, 908, 754, 294?

GCD of 694, 908, 754, 294 is 2

2. Where do I get the detailed procedure to find GCD of 694, 908, 754, 294?

You can find a detailed procedure to find GCD of 694, 908, 754, 294 on our page.

3. How to find GCD of 694, 908, 754, 294 on a calculator?

You can find the GCD of 694, 908, 754, 294 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.