GCD of 745, 680, 11, 361 Calculator

Given Input numbers are 745, 680, 11, 361

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

Divisors of 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

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 11

List of positive integer divisors of 11 that divides 11 without a remainder.

1, 11

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Greatest Common Divisior

We found the divisors of 745, 680, 11, 361 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 745, 680, 11, 361 is 1.

Therefore, GCD of numbers 745, 680, 11, 361 is 1

Given Input Data is 745, 680, 11, 361

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

Prime Factorization of 745 is 5 x 149

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

Prime Factorization of 11 is 11

Prime Factorization of 361 is 19 x 19

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(745, 680) = 101320

GCD(745, 680) = ( 745 x 680 ) / 101320

GCD(745, 680) = 506600 / 101320

GCD(745, 680) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 11

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

LCM(5, 11) = 55

GCD(5, 11) = ( 5 x 11 ) / 55

GCD(5, 11) = 55 / 55

GCD(5, 11) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 361

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

LCM(1, 361) = 361

GCD(1, 361) = ( 1 x 361 ) / 361

GCD(1, 361) = 361 / 361

GCD(1, 361) = 1

GCD of 745, 680, 11, 361 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 666, 804, 29, 456
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• GCD of 757, 276, 67, 536
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• GCD of 354, 955, 68, 270

1. What is the GCD of 745, 680, 11, 361?

GCD of 745, 680, 11, 361 is 1

2. Where do I get the detailed procedure to find GCD of 745, 680, 11, 361?

You can find a detailed procedure to find GCD of 745, 680, 11, 361 on our page.

3. How to find GCD of 745, 680, 11, 361 on a calculator?

You can find the GCD of 745, 680, 11, 361 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.