GCD of 294, 423, 758, 702 Calculator

Given Input numbers are 294, 423, 758, 702

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 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

Divisors of 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Divisors of 702

List of positive integer divisors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Greatest Common Divisior

We found the divisors of 294, 423, 758, 702 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 294, 423, 758, 702 is 1.

Therefore, GCD of numbers 294, 423, 758, 702 is 1

Given Input Data is 294, 423, 758, 702

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 423 is 3 x 3 x 47

Prime Factorization of 758 is 2 x 379

Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13

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, 423) = 41454

GCD(294, 423) = ( 294 x 423 ) / 41454

GCD(294, 423) = 124362 / 41454

GCD(294, 423) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 758

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

LCM(3, 758) = 2274

GCD(3, 758) = ( 3 x 758 ) / 2274

GCD(3, 758) = 2274 / 2274

GCD(3, 758) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 702

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

LCM(1, 702) = 702

GCD(1, 702) = ( 1 x 702 ) / 702

GCD(1, 702) = 702 / 702

GCD(1, 702) = 1

GCD of 294, 423, 758, 702 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 856, 117, 444, 194
• GCD of 971, 846, 216, 828
• GCD of 232, 638, 724, 141
• GCD of 451, 705, 124, 844
• GCD of 957, 268, 698, 861

1. What is the GCD of 294, 423, 758, 702?

GCD of 294, 423, 758, 702 is 1

2. Where do I get the detailed procedure to find GCD of 294, 423, 758, 702?

You can find a detailed procedure to find GCD of 294, 423, 758, 702 on our page.

3. How to find GCD of 294, 423, 758, 702 on a calculator?

You can find the GCD of 294, 423, 758, 702 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.