GCD of 352, 680, 26, 565 Calculator

Given Input numbers are 352, 680, 26, 565

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

Divisors of 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 26

List of positive integer divisors of 26 that divides 26 without a remainder.

1, 2, 13, 26

Divisors of 565

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

1, 5, 113, 565

Greatest Common Divisior

We found the divisors of 352, 680, 26, 565 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 352, 680, 26, 565 is 1.

Therefore, GCD of numbers 352, 680, 26, 565 is 1

Given Input Data is 352, 680, 26, 565

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

Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

Prime Factorization of 26 is 2 x 13

Prime Factorization of 565 is 5 x 113

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(352, 680) = 29920

GCD(352, 680) = ( 352 x 680 ) / 29920

GCD(352, 680) = 239360 / 29920

GCD(352, 680) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 26

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

LCM(8, 26) = 104

GCD(8, 26) = ( 8 x 26 ) / 104

GCD(8, 26) = 208 / 104

GCD(8, 26) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 565

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

LCM(2, 565) = 1130

GCD(2, 565) = ( 2 x 565 ) / 1130

GCD(2, 565) = 1130 / 1130

GCD(2, 565) = 1

GCD of 352, 680, 26, 565 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 210, 315, 86, 211
• GCD of 120, 548, 73, 417
• GCD of 888, 688, 55, 401
• GCD of 778, 823, 86, 686
• GCD of 391, 565, 56, 340

1. What is the GCD of 352, 680, 26, 565?

GCD of 352, 680, 26, 565 is 1

2. Where do I get the detailed procedure to find GCD of 352, 680, 26, 565?

You can find a detailed procedure to find GCD of 352, 680, 26, 565 on our page.

3. How to find GCD of 352, 680, 26, 565 on a calculator?

You can find the GCD of 352, 680, 26, 565 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.