GCD of 268, 780, 46, 795 Calculator

Given Input numbers are 268, 780, 46, 795

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

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

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

Divisors of 46

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

1, 2, 23, 46

Divisors of 795

List of positive integer divisors of 795 that divides 795 without a remainder.

1, 3, 5, 15, 53, 159, 265, 795

Greatest Common Divisior

We found the divisors of 268, 780, 46, 795 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 268, 780, 46, 795 is 1.

Therefore, GCD of numbers 268, 780, 46, 795 is 1

Given Input Data is 268, 780, 46, 795

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

Prime Factorization of 268 is 2 x 2 x 67

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

Prime Factorization of 46 is 2 x 23

Prime Factorization of 795 is 3 x 5 x 53

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(268, 780) = 52260

GCD(268, 780) = ( 268 x 780 ) / 52260

GCD(268, 780) = 209040 / 52260

GCD(268, 780) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 46

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

LCM(4, 46) = 92

GCD(4, 46) = ( 4 x 46 ) / 92

GCD(4, 46) = 184 / 92

GCD(4, 46) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 795

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

LCM(2, 795) = 1590

GCD(2, 795) = ( 2 x 795 ) / 1590

GCD(2, 795) = 1590 / 1590

GCD(2, 795) = 1

GCD of 268, 780, 46, 795 is 1

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1. What is the GCD of 268, 780, 46, 795?

GCD of 268, 780, 46, 795 is 1

2. Where do I get the detailed procedure to find GCD of 268, 780, 46, 795?

You can find a detailed procedure to find GCD of 268, 780, 46, 795 on our page.

3. How to find GCD of 268, 780, 46, 795 on a calculator?

You can find the GCD of 268, 780, 46, 795 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.