GCD of 695, 343, 944, 458 Calculator

Given Input numbers are 695, 343, 944, 458

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

Divisors of 695

List of positive integer divisors of 695 that divides 695 without a remainder.

1, 5, 139, 695

Divisors of 343

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

1, 7, 49, 343

Divisors of 944

List of positive integer divisors of 944 that divides 944 without a remainder.

1, 2, 4, 8, 16, 59, 118, 236, 472, 944

Divisors of 458

List of positive integer divisors of 458 that divides 458 without a remainder.

1, 2, 229, 458

Greatest Common Divisior

We found the divisors of 695, 343, 944, 458 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 695, 343, 944, 458 is 1.

Therefore, GCD of numbers 695, 343, 944, 458 is 1

Given Input Data is 695, 343, 944, 458

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

Prime Factorization of 695 is 5 x 139

Prime Factorization of 343 is 7 x 7 x 7

Prime Factorization of 944 is 2 x 2 x 2 x 2 x 59

Prime Factorization of 458 is 2 x 229

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(695, 343) = 238385

GCD(695, 343) = ( 695 x 343 ) / 238385

GCD(695, 343) = 238385 / 238385

GCD(695, 343) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 944

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

LCM(1, 944) = 944

GCD(1, 944) = ( 1 x 944 ) / 944

GCD(1, 944) = 944 / 944

GCD(1, 944) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 458

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

LCM(1, 458) = 458

GCD(1, 458) = ( 1 x 458 ) / 458

GCD(1, 458) = 458 / 458

GCD(1, 458) = 1

GCD of 695, 343, 944, 458 is 1

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1. What is the GCD of 695, 343, 944, 458?

GCD of 695, 343, 944, 458 is 1

2. Where do I get the detailed procedure to find GCD of 695, 343, 944, 458?

You can find a detailed procedure to find GCD of 695, 343, 944, 458 on our page.

3. How to find GCD of 695, 343, 944, 458 on a calculator?

You can find the GCD of 695, 343, 944, 458 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.