GCD of 700, 449, 78, 245 Calculator

Given Input numbers are 700, 449, 78, 245

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 449

List of positive integer divisors of 449 that divides 449 without a remainder.

1, 449

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 245

List of positive integer divisors of 245 that divides 245 without a remainder.

1, 5, 7, 35, 49, 245

Greatest Common Divisior

We found the divisors of 700, 449, 78, 245 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 700, 449, 78, 245 is 1.

Therefore, GCD of numbers 700, 449, 78, 245 is 1

Given Input Data is 700, 449, 78, 245

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 449 is 449

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 245 is 5 x 7 x 7

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, 449) = 314300

GCD(700, 449) = ( 700 x 449 ) / 314300

GCD(700, 449) = 314300 / 314300

GCD(700, 449) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 78

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

LCM(1, 78) = 78

GCD(1, 78) = ( 1 x 78 ) / 78

GCD(1, 78) = 78 / 78

GCD(1, 78) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 245

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

LCM(1, 245) = 245

GCD(1, 245) = ( 1 x 245 ) / 245

GCD(1, 245) = 245 / 245

GCD(1, 245) = 1

GCD of 700, 449, 78, 245 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 991, 604, 48, 400
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• GCD of 640, 238, 27, 684

1. What is the GCD of 700, 449, 78, 245?

GCD of 700, 449, 78, 245 is 1

2. Where do I get the detailed procedure to find GCD of 700, 449, 78, 245?

You can find a detailed procedure to find GCD of 700, 449, 78, 245 on our page.

3. How to find GCD of 700, 449, 78, 245 on a calculator?

You can find the GCD of 700, 449, 78, 245 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.