GCD of 423, 458, 807, 688 Calculator

Given Input numbers are 423, 458, 807, 688

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

Divisors of 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

Divisors of 458

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

1, 2, 229, 458

Divisors of 807

List of positive integer divisors of 807 that divides 807 without a remainder.

1, 3, 269, 807

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Greatest Common Divisior

We found the divisors of 423, 458, 807, 688 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 423, 458, 807, 688 is 1.

Therefore, GCD of numbers 423, 458, 807, 688 is 1

Given Input Data is 423, 458, 807, 688

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

Prime Factorization of 423 is 3 x 3 x 47

Prime Factorization of 458 is 2 x 229

Prime Factorization of 807 is 3 x 269

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

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(423, 458) = 193734

GCD(423, 458) = ( 423 x 458 ) / 193734

GCD(423, 458) = 193734 / 193734

GCD(423, 458) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 807

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

LCM(1, 807) = 807

GCD(1, 807) = ( 1 x 807 ) / 807

GCD(1, 807) = 807 / 807

GCD(1, 807) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 688

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

LCM(1, 688) = 688

GCD(1, 688) = ( 1 x 688 ) / 688

GCD(1, 688) = 688 / 688

GCD(1, 688) = 1

GCD of 423, 458, 807, 688 is 1

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• GCD of 880, 989, 171, 320
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• GCD of 589, 251, 710, 576

1. What is the GCD of 423, 458, 807, 688?

GCD of 423, 458, 807, 688 is 1

2. Where do I get the detailed procedure to find GCD of 423, 458, 807, 688?

You can find a detailed procedure to find GCD of 423, 458, 807, 688 on our page.

3. How to find GCD of 423, 458, 807, 688 on a calculator?

You can find the GCD of 423, 458, 807, 688 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.