GCD of 466, 784, 899, 670 Calculator

Given Input numbers are 466, 784, 899, 670

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

Divisors of 466

List of positive integer divisors of 466 that divides 466 without a remainder.

1, 2, 233, 466

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 899

List of positive integer divisors of 899 that divides 899 without a remainder.

1, 29, 31, 899

Divisors of 670

List of positive integer divisors of 670 that divides 670 without a remainder.

1, 2, 5, 10, 67, 134, 335, 670

Greatest Common Divisior

We found the divisors of 466, 784, 899, 670 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 466, 784, 899, 670 is 1.

Therefore, GCD of numbers 466, 784, 899, 670 is 1

Given Input Data is 466, 784, 899, 670

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

Prime Factorization of 466 is 2 x 233

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

Prime Factorization of 899 is 29 x 31

Prime Factorization of 670 is 2 x 5 x 67

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(466, 784) = 182672

GCD(466, 784) = ( 466 x 784 ) / 182672

GCD(466, 784) = 365344 / 182672

GCD(466, 784) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 899

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

LCM(2, 899) = 1798

GCD(2, 899) = ( 2 x 899 ) / 1798

GCD(2, 899) = 1798 / 1798

GCD(2, 899) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 670

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

LCM(1, 670) = 670

GCD(1, 670) = ( 1 x 670 ) / 670

GCD(1, 670) = 670 / 670

GCD(1, 670) = 1

GCD of 466, 784, 899, 670 is 1

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1. What is the GCD of 466, 784, 899, 670?

GCD of 466, 784, 899, 670 is 1

2. Where do I get the detailed procedure to find GCD of 466, 784, 899, 670?

You can find a detailed procedure to find GCD of 466, 784, 899, 670 on our page.

3. How to find GCD of 466, 784, 899, 670 on a calculator?

You can find the GCD of 466, 784, 899, 670 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.