GCD of 970, 830, 324, 424 Calculator

Given Input numbers are 970, 830, 324, 424

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

Divisors of 970

List of positive integer divisors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

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 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 424

List of positive integer divisors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

Greatest Common Divisior

We found the divisors of 970, 830, 324, 424 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 970, 830, 324, 424 is 2.

Therefore, GCD of numbers 970, 830, 324, 424 is 2

Given Input Data is 970, 830, 324, 424

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

Prime Factorization of 970 is 2 x 5 x 97

Prime Factorization of 830 is 2 x 5 x 83

Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 424 is 2 x 2 x 2 x 53

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(970, 830) = 80510

GCD(970, 830) = ( 970 x 830 ) / 80510

GCD(970, 830) = 805100 / 80510

GCD(970, 830) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 324

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

LCM(10, 324) = 1620

GCD(10, 324) = ( 10 x 324 ) / 1620

GCD(10, 324) = 3240 / 1620

GCD(10, 324) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 424

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

LCM(2, 424) = 424

GCD(2, 424) = ( 2 x 424 ) / 424

GCD(2, 424) = 848 / 424

GCD(2, 424) = 2

GCD of 970, 830, 324, 424 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 554, 916, 379, 535
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• GCD of 426, 376, 296, 142
• GCD of 370, 527, 317, 995
• GCD of 160, 477, 463, 792

1. What is the GCD of 970, 830, 324, 424?

GCD of 970, 830, 324, 424 is 2

2. Where do I get the detailed procedure to find GCD of 970, 830, 324, 424?

You can find a detailed procedure to find GCD of 970, 830, 324, 424 on our page.

3. How to find GCD of 970, 830, 324, 424 on a calculator?

You can find the GCD of 970, 830, 324, 424 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.