GCD of 675, 260, 38, 780 Calculator

Given Input numbers are 675, 260, 38, 780

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

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 260

List of positive integer divisors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

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 675, 260, 38, 780 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 675, 260, 38, 780 is 1.

Therefore, GCD of numbers 675, 260, 38, 780 is 1

Given Input Data is 675, 260, 38, 780

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

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

Prime Factorization of 260 is 2 x 2 x 5 x 13

Prime Factorization of 38 is 2 x 19

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(675, 260) = 35100

GCD(675, 260) = ( 675 x 260 ) / 35100

GCD(675, 260) = 175500 / 35100

GCD(675, 260) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 38

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

LCM(5, 38) = 190

GCD(5, 38) = ( 5 x 38 ) / 190

GCD(5, 38) = 190 / 190

GCD(5, 38) = 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 675, 260, 38, 780 is 1

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• GCD of 826, 311, 55, 965
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• GCD of 285, 305, 69, 875

1. What is the GCD of 675, 260, 38, 780?

GCD of 675, 260, 38, 780 is 1

2. Where do I get the detailed procedure to find GCD of 675, 260, 38, 780?

You can find a detailed procedure to find GCD of 675, 260, 38, 780 on our page.

3. How to find GCD of 675, 260, 38, 780 on a calculator?

You can find the GCD of 675, 260, 38, 780 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.