GCD of 294, 606, 46, 974 Calculator

Given Input numbers are 294, 606, 46, 974

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

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

Divisors of 606

List of positive integer divisors of 606 that divides 606 without a remainder.

1, 2, 3, 6, 101, 202, 303, 606

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Greatest Common Divisior

We found the divisors of 294, 606, 46, 974 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 294, 606, 46, 974 is 2.

Therefore, GCD of numbers 294, 606, 46, 974 is 2

Given Input Data is 294, 606, 46, 974

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

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

Prime Factorization of 606 is 2 x 3 x 101

Prime Factorization of 46 is 2 x 23

Prime Factorization of 974 is 2 x 487

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(294, 606) = 29694

GCD(294, 606) = ( 294 x 606 ) / 29694

GCD(294, 606) = 178164 / 29694

GCD(294, 606) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 46

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

LCM(6, 46) = 138

GCD(6, 46) = ( 6 x 46 ) / 138

GCD(6, 46) = 276 / 138

GCD(6, 46) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 974

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

LCM(2, 974) = 974

GCD(2, 974) = ( 2 x 974 ) / 974

GCD(2, 974) = 1948 / 974

GCD(2, 974) = 2

GCD of 294, 606, 46, 974 is 2

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1. What is the GCD of 294, 606, 46, 974?

GCD of 294, 606, 46, 974 is 2

2. Where do I get the detailed procedure to find GCD of 294, 606, 46, 974?

You can find a detailed procedure to find GCD of 294, 606, 46, 974 on our page.

3. How to find GCD of 294, 606, 46, 974 on a calculator?

You can find the GCD of 294, 606, 46, 974 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.