GCD of 357, 784, 461 Calculator

Given Input numbers are 357, 784, 461

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

Divisors of 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 461

List of positive integer divisors of 461 that divides 461 without a remainder.

1, 461

Greatest Common Divisior

We found the divisors of 357, 784, 461 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 357, 784, 461 is 1.

Therefore, GCD of numbers 357, 784, 461 is 1

Given Input Data is 357, 784, 461

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

Prime Factorization of 357 is 3 x 7 x 17

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

Prime Factorization of 461 is 461

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(357, 784) = 39984

GCD(357, 784) = ( 357 x 784 ) / 39984

GCD(357, 784) = 279888 / 39984

GCD(357, 784) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 461

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

LCM(7, 461) = 3227

GCD(7, 461) = ( 7 x 461 ) / 3227

GCD(7, 461) = 3227 / 3227

GCD(7, 461) = 1

GCD of 357, 784, 461 is 1

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1. What is the GCD of 357, 784, 461?

GCD of 357, 784, 461 is 1

2. Where do I get the detailed procedure to find GCD of 357, 784, 461?

You can find a detailed procedure to find GCD of 357, 784, 461 on our page.

3. How to find GCD of 357, 784, 461 on a calculator?

You can find the GCD of 357, 784, 461 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.