GCD of 409, 464, 67, 854 Calculator

Given Input numbers are 409, 464, 67, 854

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

Divisors of 409

List of positive integer divisors of 409 that divides 409 without a remainder.

1, 409

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 67

List of positive integer divisors of 67 that divides 67 without a remainder.

1, 67

Divisors of 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Greatest Common Divisior

We found the divisors of 409, 464, 67, 854 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 409, 464, 67, 854 is 1.

Therefore, GCD of numbers 409, 464, 67, 854 is 1

Given Input Data is 409, 464, 67, 854

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

Prime Factorization of 409 is 409

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

Prime Factorization of 67 is 67

Prime Factorization of 854 is 2 x 7 x 61

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(409, 464) = 189776

GCD(409, 464) = ( 409 x 464 ) / 189776

GCD(409, 464) = 189776 / 189776

GCD(409, 464) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 67

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

LCM(1, 67) = 67

GCD(1, 67) = ( 1 x 67 ) / 67

GCD(1, 67) = 67 / 67

GCD(1, 67) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 854

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

LCM(1, 854) = 854

GCD(1, 854) = ( 1 x 854 ) / 854

GCD(1, 854) = 854 / 854

GCD(1, 854) = 1

GCD of 409, 464, 67, 854 is 1

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• GCD of 896, 953, 95, 723
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1. What is the GCD of 409, 464, 67, 854?

GCD of 409, 464, 67, 854 is 1

2. Where do I get the detailed procedure to find GCD of 409, 464, 67, 854?

You can find a detailed procedure to find GCD of 409, 464, 67, 854 on our page.

3. How to find GCD of 409, 464, 67, 854 on a calculator?

You can find the GCD of 409, 464, 67, 854 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.