GCD of 294, 716, 153, 390 Calculator

Given Input numbers are 294, 716, 153, 390

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 716

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

1, 2, 4, 179, 358, 716

Divisors of 153

List of positive integer divisors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Greatest Common Divisior

We found the divisors of 294, 716, 153, 390 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 294, 716, 153, 390 is 1.

Therefore, GCD of numbers 294, 716, 153, 390 is 1

Given Input Data is 294, 716, 153, 390

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 716 is 2 x 2 x 179

Prime Factorization of 153 is 3 x 3 x 17

Prime Factorization of 390 is 2 x 3 x 5 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, 716) = 105252

GCD(294, 716) = ( 294 x 716 ) / 105252

GCD(294, 716) = 210504 / 105252

GCD(294, 716) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 153

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

LCM(2, 153) = 306

GCD(2, 153) = ( 2 x 153 ) / 306

GCD(2, 153) = 306 / 306

GCD(2, 153) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 390

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

LCM(1, 390) = 390

GCD(1, 390) = ( 1 x 390 ) / 390

GCD(1, 390) = 390 / 390

GCD(1, 390) = 1

GCD of 294, 716, 153, 390 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 504, 544, 551, 426
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• GCD of 390, 277, 640, 542
• GCD of 746, 406, 534, 204

1. What is the GCD of 294, 716, 153, 390?

GCD of 294, 716, 153, 390 is 1

2. Where do I get the detailed procedure to find GCD of 294, 716, 153, 390?

You can find a detailed procedure to find GCD of 294, 716, 153, 390 on our page.

3. How to find GCD of 294, 716, 153, 390 on a calculator?

You can find the GCD of 294, 716, 153, 390 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.