GCD of 294, 892, 71, 746 Calculator

Given Input numbers are 294, 892, 71, 746

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 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Greatest Common Divisior

We found the divisors of 294, 892, 71, 746 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 294, 892, 71, 746 is 1.

Therefore, GCD of numbers 294, 892, 71, 746 is 1

Given Input Data is 294, 892, 71, 746

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 892 is 2 x 2 x 223

Prime Factorization of 71 is 71

Prime Factorization of 746 is 2 x 373

The above numbers do not have any common prime factor. So GCD is 1

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, 892) = 131124

GCD(294, 892) = ( 294 x 892 ) / 131124

GCD(294, 892) = 262248 / 131124

GCD(294, 892) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 71

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

LCM(2, 71) = 142

GCD(2, 71) = ( 2 x 71 ) / 142

GCD(2, 71) = 142 / 142

GCD(2, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 746

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

LCM(1, 746) = 746

GCD(1, 746) = ( 1 x 746 ) / 746

GCD(1, 746) = 746 / 746

GCD(1, 746) = 1

GCD of 294, 892, 71, 746 is 1

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1. What is the GCD of 294, 892, 71, 746?

GCD of 294, 892, 71, 746 is 1

2. Where do I get the detailed procedure to find GCD of 294, 892, 71, 746?

You can find a detailed procedure to find GCD of 294, 892, 71, 746 on our page.

3. How to find GCD of 294, 892, 71, 746 on a calculator?

You can find the GCD of 294, 892, 71, 746 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.