GCD of 220, 180, 46, 780 Calculator

Given Input numbers are 220, 180, 46, 780

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

Divisors of 220

List of positive integer divisors of 220 that divides 220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

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 220, 180, 46, 780 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 220, 180, 46, 780 is 2.

Therefore, GCD of numbers 220, 180, 46, 780 is 2

Given Input Data is 220, 180, 46, 780

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

Prime Factorization of 220 is 2 x 2 x 5 x 11

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 46 is 2 x 23

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(220, 180) = 1980

GCD(220, 180) = ( 220 x 180 ) / 1980

GCD(220, 180) = 39600 / 1980

GCD(220, 180) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 46

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

LCM(20, 46) = 460

GCD(20, 46) = ( 20 x 46 ) / 460

GCD(20, 46) = 920 / 460

GCD(20, 46) = 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 220, 180, 46, 780 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 798, 567, 80, 973
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• GCD of 880, 392, 64, 274
• GCD of 149, 353, 12, 568

1. What is the GCD of 220, 180, 46, 780?

GCD of 220, 180, 46, 780 is 2

2. Where do I get the detailed procedure to find GCD of 220, 180, 46, 780?

You can find a detailed procedure to find GCD of 220, 180, 46, 780 on our page.

3. How to find GCD of 220, 180, 46, 780 on a calculator?

You can find the GCD of 220, 180, 46, 780 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.