GCD of 456, 343, 47, 691 Calculator

Given Input numbers are 456, 343, 47, 691

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

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Divisors of 691

List of positive integer divisors of 691 that divides 691 without a remainder.

1, 691

Greatest Common Divisior

We found the divisors of 456, 343, 47, 691 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 456, 343, 47, 691 is 1.

Therefore, GCD of numbers 456, 343, 47, 691 is 1

Given Input Data is 456, 343, 47, 691

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

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 343 is 7 x 7 x 7

Prime Factorization of 47 is 47

Prime Factorization of 691 is 691

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(456, 343) = 156408

GCD(456, 343) = ( 456 x 343 ) / 156408

GCD(456, 343) = 156408 / 156408

GCD(456, 343) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 47

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

LCM(1, 47) = 47

GCD(1, 47) = ( 1 x 47 ) / 47

GCD(1, 47) = 47 / 47

GCD(1, 47) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 691

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

LCM(1, 691) = 691

GCD(1, 691) = ( 1 x 691 ) / 691

GCD(1, 691) = 691 / 691

GCD(1, 691) = 1

GCD of 456, 343, 47, 691 is 1

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1. What is the GCD of 456, 343, 47, 691?

GCD of 456, 343, 47, 691 is 1

2. Where do I get the detailed procedure to find GCD of 456, 343, 47, 691?

You can find a detailed procedure to find GCD of 456, 343, 47, 691 on our page.

3. How to find GCD of 456, 343, 47, 691 on a calculator?

You can find the GCD of 456, 343, 47, 691 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.