GCD of 326, 718, 420, 699 Calculator

Given Input numbers are 326, 718, 420, 699

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

Divisors of 326

List of positive integer divisors of 326 that divides 326 without a remainder.

1, 2, 163, 326

Divisors of 718

List of positive integer divisors of 718 that divides 718 without a remainder.

1, 2, 359, 718

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

Greatest Common Divisior

We found the divisors of 326, 718, 420, 699 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 326, 718, 420, 699 is 1.

Therefore, GCD of numbers 326, 718, 420, 699 is 1

Given Input Data is 326, 718, 420, 699

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

Prime Factorization of 326 is 2 x 163

Prime Factorization of 718 is 2 x 359

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 699 is 3 x 233

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(326, 718) = 117034

GCD(326, 718) = ( 326 x 718 ) / 117034

GCD(326, 718) = 234068 / 117034

GCD(326, 718) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 420

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

LCM(2, 420) = 420

GCD(2, 420) = ( 2 x 420 ) / 420

GCD(2, 420) = 840 / 420

GCD(2, 420) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 699

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

LCM(2, 699) = 1398

GCD(2, 699) = ( 2 x 699 ) / 1398

GCD(2, 699) = 1398 / 1398

GCD(2, 699) = 1

GCD of 326, 718, 420, 699 is 1

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1. What is the GCD of 326, 718, 420, 699?

GCD of 326, 718, 420, 699 is 1

2. Where do I get the detailed procedure to find GCD of 326, 718, 420, 699?

You can find a detailed procedure to find GCD of 326, 718, 420, 699 on our page.

3. How to find GCD of 326, 718, 420, 699 on a calculator?

You can find the GCD of 326, 718, 420, 699 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.