GCD of 269, 220, 669, 780 Calculator

Given Input numbers are 269, 220, 669, 780

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

Divisors of 269

List of positive integer divisors of 269 that divides 269 without a remainder.

1, 269

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 669

List of positive integer divisors of 669 that divides 669 without a remainder.

1, 3, 223, 669

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 269, 220, 669, 780 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 269, 220, 669, 780 is 1.

Therefore, GCD of numbers 269, 220, 669, 780 is 1

Given Input Data is 269, 220, 669, 780

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

Prime Factorization of 269 is 269

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

Prime Factorization of 669 is 3 x 223

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

The above numbers do not have any common prime factor. So GCD is 1

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(269, 220) = 59180

GCD(269, 220) = ( 269 x 220 ) / 59180

GCD(269, 220) = 59180 / 59180

GCD(269, 220) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 669

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

LCM(1, 669) = 669

GCD(1, 669) = ( 1 x 669 ) / 669

GCD(1, 669) = 669 / 669

GCD(1, 669) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 780

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

LCM(1, 780) = 780

GCD(1, 780) = ( 1 x 780 ) / 780

GCD(1, 780) = 780 / 780

GCD(1, 780) = 1

GCD of 269, 220, 669, 780 is 1

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1. What is the GCD of 269, 220, 669, 780?

GCD of 269, 220, 669, 780 is 1

2. Where do I get the detailed procedure to find GCD of 269, 220, 669, 780?

You can find a detailed procedure to find GCD of 269, 220, 669, 780 on our page.

3. How to find GCD of 269, 220, 669, 780 on a calculator?

You can find the GCD of 269, 220, 669, 780 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.