GCD of 582, 534, 420 Calculator

Given Input numbers are 582, 534, 420

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

Divisors of 582

List of positive integer divisors of 582 that divides 582 without a remainder.

1, 2, 3, 6, 97, 194, 291, 582

Divisors of 534

List of positive integer divisors of 534 that divides 534 without a remainder.

1, 2, 3, 6, 89, 178, 267, 534

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

Greatest Common Divisior

We found the divisors of 582, 534, 420 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 582, 534, 420 is 6.

Therefore, GCD of numbers 582, 534, 420 is 6

Given Input Data is 582, 534, 420

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

Prime Factorization of 582 is 2 x 3 x 97

Prime Factorization of 534 is 2 x 3 x 89

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

Highest common occurrences in the given inputs are 2¹ x 3¹

Multiplying them we get the GCD as 6

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(582, 534) = 51798

GCD(582, 534) = ( 582 x 534 ) / 51798

GCD(582, 534) = 310788 / 51798

GCD(582, 534) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 420

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

LCM(6, 420) = 420

GCD(6, 420) = ( 6 x 420 ) / 420

GCD(6, 420) = 2520 / 420

GCD(6, 420) = 6

GCD of 582, 534, 420 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 665, 727, 184
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• GCD of 425, 118, 254
• GCD of 569, 965, 810
• GCD of 464, 598, 277

1. What is the GCD of 582, 534, 420?

GCD of 582, 534, 420 is 6

2. Where do I get the detailed procedure to find GCD of 582, 534, 420?

You can find a detailed procedure to find GCD of 582, 534, 420 on our page.

3. How to find GCD of 582, 534, 420 on a calculator?

You can find the GCD of 582, 534, 420 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.