GCD of 260, 585, 977, 378 Calculator

Given Input numbers are 260, 585, 977, 378

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

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 585

List of positive integer divisors of 585 that divides 585 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 977

List of positive integer divisors of 977 that divides 977 without a remainder.

1, 977

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Greatest Common Divisior

We found the divisors of 260, 585, 977, 378 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 260, 585, 977, 378 is 1.

Therefore, GCD of numbers 260, 585, 977, 378 is 1

Given Input Data is 260, 585, 977, 378

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

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

Prime Factorization of 585 is 3 x 3 x 5 x 13

Prime Factorization of 977 is 977

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

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(260, 585) = 2340

GCD(260, 585) = ( 260 x 585 ) / 2340

GCD(260, 585) = 152100 / 2340

GCD(260, 585) = 65

Step2:

Here we consider the GCD from the above i.e. 65 as first number and the next as 977

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

LCM(65, 977) = 63505

GCD(65, 977) = ( 65 x 977 ) / 63505

GCD(65, 977) = 63505 / 63505

GCD(65, 977) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 378

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

LCM(1, 378) = 378

GCD(1, 378) = ( 1 x 378 ) / 378

GCD(1, 378) = 378 / 378

GCD(1, 378) = 1

GCD of 260, 585, 977, 378 is 1

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• GCD of 684, 503, 739, 529
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1. What is the GCD of 260, 585, 977, 378?

GCD of 260, 585, 977, 378 is 1

2. Where do I get the detailed procedure to find GCD of 260, 585, 977, 378?

You can find a detailed procedure to find GCD of 260, 585, 977, 378 on our page.

3. How to find GCD of 260, 585, 977, 378 on a calculator?

You can find the GCD of 260, 585, 977, 378 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.