GCD of 580, 732, 64, 780 Calculator

Given Input numbers are 580, 732, 64, 780

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

Divisors of 580

List of positive integer divisors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 64

List of positive integer divisors of 64 that divides 64 without a remainder.

1, 2, 4, 8, 16, 32, 64

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 580, 732, 64, 780 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 580, 732, 64, 780 is 4.

Therefore, GCD of numbers 580, 732, 64, 780 is 4

Given Input Data is 580, 732, 64, 780

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

Prime Factorization of 580 is 2 x 2 x 5 x 29

Prime Factorization of 732 is 2 x 2 x 3 x 61

Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2

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

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(580, 732) = 106140

GCD(580, 732) = ( 580 x 732 ) / 106140

GCD(580, 732) = 424560 / 106140

GCD(580, 732) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 64

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

LCM(4, 64) = 64

GCD(4, 64) = ( 4 x 64 ) / 64

GCD(4, 64) = 256 / 64

GCD(4, 64) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 780

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

LCM(4, 780) = 780

GCD(4, 780) = ( 4 x 780 ) / 780

GCD(4, 780) = 3120 / 780

GCD(4, 780) = 4

GCD of 580, 732, 64, 780 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 880, 196, 57, 870
• GCD of 452, 520, 91, 820
• GCD of 157, 252, 99, 501
• GCD of 160, 878, 16, 355
• GCD of 739, 405, 59, 972

1. What is the GCD of 580, 732, 64, 780?

GCD of 580, 732, 64, 780 is 4

2. Where do I get the detailed procedure to find GCD of 580, 732, 64, 780?

You can find a detailed procedure to find GCD of 580, 732, 64, 780 on our page.

3. How to find GCD of 580, 732, 64, 780 on a calculator?

You can find the GCD of 580, 732, 64, 780 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.