GCD of 738, 520, 116, 560 Calculator

Given Input numbers are 738, 520, 116, 560

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

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 520

List of positive integer divisors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

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

Greatest Common Divisior

We found the divisors of 738, 520, 116, 560 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 738, 520, 116, 560 is 2.

Therefore, GCD of numbers 738, 520, 116, 560 is 2

Given Input Data is 738, 520, 116, 560

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

Prime Factorization of 738 is 2 x 3 x 3 x 41

Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13

Prime Factorization of 116 is 2 x 2 x 29

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

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(738, 520) = 191880

GCD(738, 520) = ( 738 x 520 ) / 191880

GCD(738, 520) = 383760 / 191880

GCD(738, 520) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 116

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

LCM(2, 116) = 116

GCD(2, 116) = ( 2 x 116 ) / 116

GCD(2, 116) = 232 / 116

GCD(2, 116) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 560

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

LCM(2, 560) = 560

GCD(2, 560) = ( 2 x 560 ) / 560

GCD(2, 560) = 1120 / 560

GCD(2, 560) = 2

GCD of 738, 520, 116, 560 is 2

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1. What is the GCD of 738, 520, 116, 560?

GCD of 738, 520, 116, 560 is 2

2. Where do I get the detailed procedure to find GCD of 738, 520, 116, 560?

You can find a detailed procedure to find GCD of 738, 520, 116, 560 on our page.

3. How to find GCD of 738, 520, 116, 560 on a calculator?

You can find the GCD of 738, 520, 116, 560 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.