GCD of 356, 560, 20, 782 Calculator

Given Input numbers are 356, 560, 20, 782

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

Divisors of 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Divisors of 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Greatest Common Divisior

We found the divisors of 356, 560, 20, 782 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 356, 560, 20, 782 is 2.

Therefore, GCD of numbers 356, 560, 20, 782 is 2

Given Input Data is 356, 560, 20, 782

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

Prime Factorization of 356 is 2 x 2 x 89

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 782 is 2 x 17 x 23

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(356, 560) = 49840

GCD(356, 560) = ( 356 x 560 ) / 49840

GCD(356, 560) = 199360 / 49840

GCD(356, 560) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 20

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

LCM(4, 20) = 20

GCD(4, 20) = ( 4 x 20 ) / 20

GCD(4, 20) = 80 / 20

GCD(4, 20) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 782

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

LCM(4, 782) = 1564

GCD(4, 782) = ( 4 x 782 ) / 1564

GCD(4, 782) = 3128 / 1564

GCD(4, 782) = 2

GCD of 356, 560, 20, 782 is 2

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1. What is the GCD of 356, 560, 20, 782?

GCD of 356, 560, 20, 782 is 2

2. Where do I get the detailed procedure to find GCD of 356, 560, 20, 782?

You can find a detailed procedure to find GCD of 356, 560, 20, 782 on our page.

3. How to find GCD of 356, 560, 20, 782 on a calculator?

You can find the GCD of 356, 560, 20, 782 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.