GCD of 602, 420, 914, 299 Calculator

Given Input numbers are 602, 420, 914, 299

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

Divisors of 602

List of positive integer divisors of 602 that divides 602 without a remainder.

1, 2, 7, 14, 43, 86, 301, 602

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 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Greatest Common Divisior

We found the divisors of 602, 420, 914, 299 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 602, 420, 914, 299 is 1.

Therefore, GCD of numbers 602, 420, 914, 299 is 1

Given Input Data is 602, 420, 914, 299

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

Prime Factorization of 602 is 2 x 7 x 43

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

Prime Factorization of 914 is 2 x 457

Prime Factorization of 299 is 13 x 23

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(602, 420) = 18060

GCD(602, 420) = ( 602 x 420 ) / 18060

GCD(602, 420) = 252840 / 18060

GCD(602, 420) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 914

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

LCM(14, 914) = 6398

GCD(14, 914) = ( 14 x 914 ) / 6398

GCD(14, 914) = 12796 / 6398

GCD(14, 914) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 299

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

LCM(2, 299) = 598

GCD(2, 299) = ( 2 x 299 ) / 598

GCD(2, 299) = 598 / 598

GCD(2, 299) = 1

GCD of 602, 420, 914, 299 is 1

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1. What is the GCD of 602, 420, 914, 299?

GCD of 602, 420, 914, 299 is 1

2. Where do I get the detailed procedure to find GCD of 602, 420, 914, 299?

You can find a detailed procedure to find GCD of 602, 420, 914, 299 on our page.

3. How to find GCD of 602, 420, 914, 299 on a calculator?

You can find the GCD of 602, 420, 914, 299 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.