GCD of 294, 972, 716, 754 Calculator

Given Input numbers are 294, 972, 716, 754

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 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 716

List of positive integer divisors of 716 that divides 716 without a remainder.

1, 2, 4, 179, 358, 716

Divisors of 754

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

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

Greatest Common Divisior

We found the divisors of 294, 972, 716, 754 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 294, 972, 716, 754 is 2.

Therefore, GCD of numbers 294, 972, 716, 754 is 2

Given Input Data is 294, 972, 716, 754

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 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 716 is 2 x 2 x 179

Prime Factorization of 754 is 2 x 13 x 29

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, 972) = 47628

GCD(294, 972) = ( 294 x 972 ) / 47628

GCD(294, 972) = 285768 / 47628

GCD(294, 972) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 716

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

LCM(6, 716) = 2148

GCD(6, 716) = ( 6 x 716 ) / 2148

GCD(6, 716) = 4296 / 2148

GCD(6, 716) = 2

Step3:

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

GCD of 294, 972, 716, 754 is 2

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1. What is the GCD of 294, 972, 716, 754?

GCD of 294, 972, 716, 754 is 2

2. Where do I get the detailed procedure to find GCD of 294, 972, 716, 754?

You can find a detailed procedure to find GCD of 294, 972, 716, 754 on our page.

3. How to find GCD of 294, 972, 716, 754 on a calculator?

You can find the GCD of 294, 972, 716, 754 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.