GCD of 560, 974, 18, 780 Calculator

Given Input numbers are 560, 974, 18, 780

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

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 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Greatest Common Divisior

We found the divisors of 560, 974, 18, 780 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 560, 974, 18, 780 is 2.

Therefore, GCD of numbers 560, 974, 18, 780 is 2

Given Input Data is 560, 974, 18, 780

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

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

Prime Factorization of 974 is 2 x 487

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13

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(560, 974) = 272720

GCD(560, 974) = ( 560 x 974 ) / 272720

GCD(560, 974) = 545440 / 272720

GCD(560, 974) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 18

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

LCM(2, 18) = 18

GCD(2, 18) = ( 2 x 18 ) / 18

GCD(2, 18) = 36 / 18

GCD(2, 18) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 780

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

LCM(2, 780) = 780

GCD(2, 780) = ( 2 x 780 ) / 780

GCD(2, 780) = 1560 / 780

GCD(2, 780) = 2

GCD of 560, 974, 18, 780 is 2

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1. What is the GCD of 560, 974, 18, 780?

GCD of 560, 974, 18, 780 is 2

2. Where do I get the detailed procedure to find GCD of 560, 974, 18, 780?

You can find a detailed procedure to find GCD of 560, 974, 18, 780 on our page.

3. How to find GCD of 560, 974, 18, 780 on a calculator?

You can find the GCD of 560, 974, 18, 780 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.