GCD of 449, 700, 838, 240 Calculator

Given Input numbers are 449, 700, 838, 240

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

Divisors of 449

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

1, 449

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 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Greatest Common Divisior

We found the divisors of 449, 700, 838, 240 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 449, 700, 838, 240 is 1.

Therefore, GCD of numbers 449, 700, 838, 240 is 1

Given Input Data is 449, 700, 838, 240

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

Prime Factorization of 449 is 449

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

Prime Factorization of 838 is 2 x 419

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

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(449, 700) = 314300

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

GCD(449, 700) = 314300 / 314300

GCD(449, 700) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 838

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

LCM(1, 838) = 838

GCD(1, 838) = ( 1 x 838 ) / 838

GCD(1, 838) = 838 / 838

GCD(1, 838) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 240

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

LCM(1, 240) = 240

GCD(1, 240) = ( 1 x 240 ) / 240

GCD(1, 240) = 240 / 240

GCD(1, 240) = 1

GCD of 449, 700, 838, 240 is 1

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1. What is the GCD of 449, 700, 838, 240?

GCD of 449, 700, 838, 240 is 1

2. Where do I get the detailed procedure to find GCD of 449, 700, 838, 240?

You can find a detailed procedure to find GCD of 449, 700, 838, 240 on our page.

3. How to find GCD of 449, 700, 838, 240 on a calculator?

You can find the GCD of 449, 700, 838, 240 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.