GCD of 464, 112, 359, 694 Calculator

Given Input numbers are 464, 112, 359, 694

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

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 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 359

List of positive integer divisors of 359 that divides 359 without a remainder.

1, 359

Divisors of 694

List of positive integer divisors of 694 that divides 694 without a remainder.

1, 2, 347, 694

Greatest Common Divisior

We found the divisors of 464, 112, 359, 694 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 464, 112, 359, 694 is 1.

Therefore, GCD of numbers 464, 112, 359, 694 is 1

Given Input Data is 464, 112, 359, 694

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

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

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

Prime Factorization of 359 is 359

Prime Factorization of 694 is 2 x 347

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(464, 112) = 3248

GCD(464, 112) = ( 464 x 112 ) / 3248

GCD(464, 112) = 51968 / 3248

GCD(464, 112) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 359

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

LCM(16, 359) = 5744

GCD(16, 359) = ( 16 x 359 ) / 5744

GCD(16, 359) = 5744 / 5744

GCD(16, 359) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 694

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

LCM(1, 694) = 694

GCD(1, 694) = ( 1 x 694 ) / 694

GCD(1, 694) = 694 / 694

GCD(1, 694) = 1

GCD of 464, 112, 359, 694 is 1

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1. What is the GCD of 464, 112, 359, 694?

GCD of 464, 112, 359, 694 is 1

2. Where do I get the detailed procedure to find GCD of 464, 112, 359, 694?

You can find a detailed procedure to find GCD of 464, 112, 359, 694 on our page.

3. How to find GCD of 464, 112, 359, 694 on a calculator?

You can find the GCD of 464, 112, 359, 694 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.