GCD of 780, 555, 60, 560 Calculator

Given Input numbers are 780, 555, 60, 560

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

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

Divisors of 555

List of positive integer divisors of 555 that divides 555 without a remainder.

1, 3, 5, 15, 37, 111, 185, 555

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

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 780, 555, 60, 560 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 780, 555, 60, 560 is 5.

Therefore, GCD of numbers 780, 555, 60, 560 is 5

Given Input Data is 780, 555, 60, 560

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

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

Prime Factorization of 555 is 3 x 5 x 37

Prime Factorization of 60 is 2 x 2 x 3 x 5

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

Highest common occurrences in the given inputs are 5¹

Multiplying them we get the GCD as 5

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(780, 555) = 28860

GCD(780, 555) = ( 780 x 555 ) / 28860

GCD(780, 555) = 432900 / 28860

GCD(780, 555) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 60

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

LCM(15, 60) = 60

GCD(15, 60) = ( 15 x 60 ) / 60

GCD(15, 60) = 900 / 60

GCD(15, 60) = 15

Step3:

Here we consider the GCD from the above i.e. 15 as first number and the next as 560

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

LCM(15, 560) = 1680

GCD(15, 560) = ( 15 x 560 ) / 1680

GCD(15, 560) = 8400 / 1680

GCD(15, 560) = 5

GCD of 780, 555, 60, 560 is 5

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• GCD of 557, 781, 44, 687
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• GCD of 557, 669, 32, 811

1. What is the GCD of 780, 555, 60, 560?

GCD of 780, 555, 60, 560 is 5

2. Where do I get the detailed procedure to find GCD of 780, 555, 60, 560?

You can find a detailed procedure to find GCD of 780, 555, 60, 560 on our page.

3. How to find GCD of 780, 555, 60, 560 on a calculator?

You can find the GCD of 780, 555, 60, 560 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.