GCD of 294, 954, 562, 502 Calculator

Given Input numbers are 294, 954, 562, 502

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 954

List of positive integer divisors of 954 that divides 954 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Divisors of 562

List of positive integer divisors of 562 that divides 562 without a remainder.

1, 2, 281, 562

Divisors of 502

List of positive integer divisors of 502 that divides 502 without a remainder.

1, 2, 251, 502

Greatest Common Divisior

We found the divisors of 294, 954, 562, 502 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 294, 954, 562, 502 is 2.

Therefore, GCD of numbers 294, 954, 562, 502 is 2

Given Input Data is 294, 954, 562, 502

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 954 is 2 x 3 x 3 x 53

Prime Factorization of 562 is 2 x 281

Prime Factorization of 502 is 2 x 251

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, 954) = 46746

GCD(294, 954) = ( 294 x 954 ) / 46746

GCD(294, 954) = 280476 / 46746

GCD(294, 954) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 562

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

LCM(6, 562) = 1686

GCD(6, 562) = ( 6 x 562 ) / 1686

GCD(6, 562) = 3372 / 1686

GCD(6, 562) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 502

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

LCM(2, 502) = 502

GCD(2, 502) = ( 2 x 502 ) / 502

GCD(2, 502) = 1004 / 502

GCD(2, 502) = 2

GCD of 294, 954, 562, 502 is 2

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1. What is the GCD of 294, 954, 562, 502?

GCD of 294, 954, 562, 502 is 2

2. Where do I get the detailed procedure to find GCD of 294, 954, 562, 502?

You can find a detailed procedure to find GCD of 294, 954, 562, 502 on our page.

3. How to find GCD of 294, 954, 562, 502 on a calculator?

You can find the GCD of 294, 954, 562, 502 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.