GCD of 506, 420, 532, 978 Calculator

Given Input numbers are 506, 420, 532, 978

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

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

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 532

List of positive integer divisors of 532 that divides 532 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Divisors of 978

List of positive integer divisors of 978 that divides 978 without a remainder.

1, 2, 3, 6, 163, 326, 489, 978

Greatest Common Divisior

We found the divisors of 506, 420, 532, 978 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 506, 420, 532, 978 is 2.

Therefore, GCD of numbers 506, 420, 532, 978 is 2

Given Input Data is 506, 420, 532, 978

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

Prime Factorization of 506 is 2 x 11 x 23

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

Prime Factorization of 532 is 2 x 2 x 7 x 19

Prime Factorization of 978 is 2 x 3 x 163

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(506, 420) = 106260

GCD(506, 420) = ( 506 x 420 ) / 106260

GCD(506, 420) = 212520 / 106260

GCD(506, 420) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 532

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

LCM(2, 532) = 532

GCD(2, 532) = ( 2 x 532 ) / 532

GCD(2, 532) = 1064 / 532

GCD(2, 532) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 978

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

LCM(2, 978) = 978

GCD(2, 978) = ( 2 x 978 ) / 978

GCD(2, 978) = 1956 / 978

GCD(2, 978) = 2

GCD of 506, 420, 532, 978 is 2

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1. What is the GCD of 506, 420, 532, 978?

GCD of 506, 420, 532, 978 is 2

2. Where do I get the detailed procedure to find GCD of 506, 420, 532, 978?

You can find a detailed procedure to find GCD of 506, 420, 532, 978 on our page.

3. How to find GCD of 506, 420, 532, 978 on a calculator?

You can find the GCD of 506, 420, 532, 978 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.