GCD of 830, 420, 332, 602 Calculator

Given Input numbers are 830, 420, 332, 602

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

Divisors of 830

List of positive integer divisors of 830 that divides 830 without a remainder.

1, 2, 5, 10, 83, 166, 415, 830

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 332

List of positive integer divisors of 332 that divides 332 without a remainder.

1, 2, 4, 83, 166, 332

Divisors of 602

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

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

Greatest Common Divisior

We found the divisors of 830, 420, 332, 602 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 830, 420, 332, 602 is 2.

Therefore, GCD of numbers 830, 420, 332, 602 is 2

Given Input Data is 830, 420, 332, 602

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

Prime Factorization of 830 is 2 x 5 x 83

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

Prime Factorization of 332 is 2 x 2 x 83

Prime Factorization of 602 is 2 x 7 x 43

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(830, 420) = 34860

GCD(830, 420) = ( 830 x 420 ) / 34860

GCD(830, 420) = 348600 / 34860

GCD(830, 420) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 332

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

LCM(10, 332) = 1660

GCD(10, 332) = ( 10 x 332 ) / 1660

GCD(10, 332) = 3320 / 1660

GCD(10, 332) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 602

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

LCM(2, 602) = 602

GCD(2, 602) = ( 2 x 602 ) / 602

GCD(2, 602) = 1204 / 602

GCD(2, 602) = 2

GCD of 830, 420, 332, 602 is 2

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1. What is the GCD of 830, 420, 332, 602?

GCD of 830, 420, 332, 602 is 2

2. Where do I get the detailed procedure to find GCD of 830, 420, 332, 602?

You can find a detailed procedure to find GCD of 830, 420, 332, 602 on our page.

3. How to find GCD of 830, 420, 332, 602 on a calculator?

You can find the GCD of 830, 420, 332, 602 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.