GCD of 260, 276, 565, 505 Calculator

Given Input numbers are 260, 276, 565, 505

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 276

List of positive integer divisors of 276 that divides 276 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Divisors of 565

List of positive integer divisors of 565 that divides 565 without a remainder.

1, 5, 113, 565

Divisors of 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

Greatest Common Divisior

We found the divisors of 260, 276, 565, 505 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 260, 276, 565, 505 is 1.

Therefore, GCD of numbers 260, 276, 565, 505 is 1

Given Input Data is 260, 276, 565, 505

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 276 is 2 x 2 x 3 x 23

Prime Factorization of 565 is 5 x 113

Prime Factorization of 505 is 5 x 101

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, 276) = 17940

GCD(260, 276) = ( 260 x 276 ) / 17940

GCD(260, 276) = 71760 / 17940

GCD(260, 276) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 565

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

LCM(4, 565) = 2260

GCD(4, 565) = ( 4 x 565 ) / 2260

GCD(4, 565) = 2260 / 2260

GCD(4, 565) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 505

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

LCM(1, 505) = 505

GCD(1, 505) = ( 1 x 505 ) / 505

GCD(1, 505) = 505 / 505

GCD(1, 505) = 1

GCD of 260, 276, 565, 505 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 945, 643, 289, 933
• GCD of 544, 915, 679, 562
• GCD of 333, 506, 864, 899
• GCD of 274, 381, 108, 708
• GCD of 440, 850, 124, 137

1. What is the GCD of 260, 276, 565, 505?

GCD of 260, 276, 565, 505 is 1

2. Where do I get the detailed procedure to find GCD of 260, 276, 565, 505?

You can find a detailed procedure to find GCD of 260, 276, 565, 505 on our page.

3. How to find GCD of 260, 276, 565, 505 on a calculator?

You can find the GCD of 260, 276, 565, 505 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.