GCD of 280, 196, 438, 780 Calculator

Given Input numbers are 280, 196, 438, 780

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

Divisors of 280

List of positive integer divisors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

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 280, 196, 438, 780 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 280, 196, 438, 780 is 2.

Therefore, GCD of numbers 280, 196, 438, 780 is 2

Given Input Data is 280, 196, 438, 780

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

Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7

Prime Factorization of 196 is 2 x 2 x 7 x 7

Prime Factorization of 438 is 2 x 3 x 73

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(280, 196) = 1960

GCD(280, 196) = ( 280 x 196 ) / 1960

GCD(280, 196) = 54880 / 1960

GCD(280, 196) = 28

Step2:

Here we consider the GCD from the above i.e. 28 as first number and the next as 438

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

LCM(28, 438) = 6132

GCD(28, 438) = ( 28 x 438 ) / 6132

GCD(28, 438) = 12264 / 6132

GCD(28, 438) = 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 280, 196, 438, 780 is 2

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1. What is the GCD of 280, 196, 438, 780?

GCD of 280, 196, 438, 780 is 2

2. Where do I get the detailed procedure to find GCD of 280, 196, 438, 780?

You can find a detailed procedure to find GCD of 280, 196, 438, 780 on our page.

3. How to find GCD of 280, 196, 438, 780 on a calculator?

You can find the GCD of 280, 196, 438, 780 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.