GCD of 449, 762, 209, 785 Calculator

Given Input numbers are 449, 762, 209, 785

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 762

List of positive integer divisors of 762 that divides 762 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Divisors of 785

List of positive integer divisors of 785 that divides 785 without a remainder.

1, 5, 157, 785

Greatest Common Divisior

We found the divisors of 449, 762, 209, 785 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 449, 762, 209, 785 is 1.

Therefore, GCD of numbers 449, 762, 209, 785 is 1

Given Input Data is 449, 762, 209, 785

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

Prime Factorization of 449 is 449

Prime Factorization of 762 is 2 x 3 x 127

Prime Factorization of 209 is 11 x 19

Prime Factorization of 785 is 5 x 157

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, 762) = 342138

GCD(449, 762) = ( 449 x 762 ) / 342138

GCD(449, 762) = 342138 / 342138

GCD(449, 762) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 209

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

LCM(1, 209) = 209

GCD(1, 209) = ( 1 x 209 ) / 209

GCD(1, 209) = 209 / 209

GCD(1, 209) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 785

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

LCM(1, 785) = 785

GCD(1, 785) = ( 1 x 785 ) / 785

GCD(1, 785) = 785 / 785

GCD(1, 785) = 1

GCD of 449, 762, 209, 785 is 1

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1. What is the GCD of 449, 762, 209, 785?

GCD of 449, 762, 209, 785 is 1

2. Where do I get the detailed procedure to find GCD of 449, 762, 209, 785?

You can find a detailed procedure to find GCD of 449, 762, 209, 785 on our page.

3. How to find GCD of 449, 762, 209, 785 on a calculator?

You can find the GCD of 449, 762, 209, 785 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.