GCD of 458, 493, 700, 376 Calculator

Given Input numbers are 458, 493, 700, 376

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

Divisors of 458

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

1, 2, 229, 458

Divisors of 493

List of positive integer divisors of 493 that divides 493 without a remainder.

1, 17, 29, 493

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 376

List of positive integer divisors of 376 that divides 376 without a remainder.

1, 2, 4, 8, 47, 94, 188, 376

Greatest Common Divisior

We found the divisors of 458, 493, 700, 376 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 458, 493, 700, 376 is 1.

Therefore, GCD of numbers 458, 493, 700, 376 is 1

Given Input Data is 458, 493, 700, 376

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

Prime Factorization of 458 is 2 x 229

Prime Factorization of 493 is 17 x 29

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

Prime Factorization of 376 is 2 x 2 x 2 x 47

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(458, 493) = 225794

GCD(458, 493) = ( 458 x 493 ) / 225794

GCD(458, 493) = 225794 / 225794

GCD(458, 493) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 700

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

LCM(1, 700) = 700

GCD(1, 700) = ( 1 x 700 ) / 700

GCD(1, 700) = 700 / 700

GCD(1, 700) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 376

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

LCM(1, 376) = 376

GCD(1, 376) = ( 1 x 376 ) / 376

GCD(1, 376) = 376 / 376

GCD(1, 376) = 1

GCD of 458, 493, 700, 376 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 613, 212, 844, 403
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1. What is the GCD of 458, 493, 700, 376?

GCD of 458, 493, 700, 376 is 1

2. Where do I get the detailed procedure to find GCD of 458, 493, 700, 376?

You can find a detailed procedure to find GCD of 458, 493, 700, 376 on our page.

3. How to find GCD of 458, 493, 700, 376 on a calculator?

You can find the GCD of 458, 493, 700, 376 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.