GCD of 420, 880, 936, 580 Calculator

Given Input numbers are 420, 880, 936, 580

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

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 880

List of positive integer divisors of 880 that divides 880 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Divisors of 936

List of positive integer divisors of 936 that divides 936 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Divisors of 580

List of positive integer divisors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Greatest Common Divisior

We found the divisors of 420, 880, 936, 580 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 420, 880, 936, 580 is 4.

Therefore, GCD of numbers 420, 880, 936, 580 is 4

Given Input Data is 420, 880, 936, 580

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

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

Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11

Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13

Prime Factorization of 580 is 2 x 2 x 5 x 29

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(420, 880) = 18480

GCD(420, 880) = ( 420 x 880 ) / 18480

GCD(420, 880) = 369600 / 18480

GCD(420, 880) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 936

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

LCM(20, 936) = 4680

GCD(20, 936) = ( 20 x 936 ) / 4680

GCD(20, 936) = 18720 / 4680

GCD(20, 936) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 580

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

LCM(4, 580) = 580

GCD(4, 580) = ( 4 x 580 ) / 580

GCD(4, 580) = 2320 / 580

GCD(4, 580) = 4

GCD of 420, 880, 936, 580 is 4

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1. What is the GCD of 420, 880, 936, 580?

GCD of 420, 880, 936, 580 is 4

2. Where do I get the detailed procedure to find GCD of 420, 880, 936, 580?

You can find a detailed procedure to find GCD of 420, 880, 936, 580 on our page.

3. How to find GCD of 420, 880, 936, 580 on a calculator?

You can find the GCD of 420, 880, 936, 580 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.