GCD of 700, 294, 30, 297 Calculator

Given Input numbers are 700, 294, 30, 297

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

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 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 297

List of positive integer divisors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

Greatest Common Divisior

We found the divisors of 700, 294, 30, 297 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 700, 294, 30, 297 is 1.

Therefore, GCD of numbers 700, 294, 30, 297 is 1

Given Input Data is 700, 294, 30, 297

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

Prime Factorization of 294 is 2 x 3 x 7 x 7

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 297 is 3 x 3 x 3 x 11

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(700, 294) = 14700

GCD(700, 294) = ( 700 x 294 ) / 14700

GCD(700, 294) = 205800 / 14700

GCD(700, 294) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 30

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

LCM(14, 30) = 210

GCD(14, 30) = ( 14 x 30 ) / 210

GCD(14, 30) = 420 / 210

GCD(14, 30) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 297

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

LCM(2, 297) = 594

GCD(2, 297) = ( 2 x 297 ) / 594

GCD(2, 297) = 594 / 594

GCD(2, 297) = 1

GCD of 700, 294, 30, 297 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 435, 498, 80, 604
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• GCD of 708, 779, 87, 772
• GCD of 396, 564, 70, 988
• GCD of 464, 181, 69, 494

1. What is the GCD of 700, 294, 30, 297?

GCD of 700, 294, 30, 297 is 1

2. Where do I get the detailed procedure to find GCD of 700, 294, 30, 297?

You can find a detailed procedure to find GCD of 700, 294, 30, 297 on our page.

3. How to find GCD of 700, 294, 30, 297 on a calculator?

You can find the GCD of 700, 294, 30, 297 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.