GCD of 309, 856, 632, 461 Calculator

Given Input numbers are 309, 856, 632, 461

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

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 856

List of positive integer divisors of 856 that divides 856 without a remainder.

1, 2, 4, 8, 107, 214, 428, 856

Divisors of 632

List of positive integer divisors of 632 that divides 632 without a remainder.

1, 2, 4, 8, 79, 158, 316, 632

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 309, 856, 632, 461 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 309, 856, 632, 461 is 1.

Therefore, GCD of numbers 309, 856, 632, 461 is 1

Given Input Data is 309, 856, 632, 461

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

Prime Factorization of 309 is 3 x 103

Prime Factorization of 856 is 2 x 2 x 2 x 107

Prime Factorization of 632 is 2 x 2 x 2 x 79

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(309, 856) = 264504

GCD(309, 856) = ( 309 x 856 ) / 264504

GCD(309, 856) = 264504 / 264504

GCD(309, 856) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 632

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

LCM(1, 632) = 632

GCD(1, 632) = ( 1 x 632 ) / 632

GCD(1, 632) = 632 / 632

GCD(1, 632) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 461

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

LCM(1, 461) = 461

GCD(1, 461) = ( 1 x 461 ) / 461

GCD(1, 461) = 461 / 461

GCD(1, 461) = 1

GCD of 309, 856, 632, 461 is 1

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• GCD of 359, 138, 645, 600
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1. What is the GCD of 309, 856, 632, 461?

GCD of 309, 856, 632, 461 is 1

2. Where do I get the detailed procedure to find GCD of 309, 856, 632, 461?

You can find a detailed procedure to find GCD of 309, 856, 632, 461 on our page.

3. How to find GCD of 309, 856, 632, 461 on a calculator?

You can find the GCD of 309, 856, 632, 461 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.