GCD of 561, 690, 775, 341 Calculator

Given Input numbers are 561, 690, 775, 341

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

Divisors of 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 775

List of positive integer divisors of 775 that divides 775 without a remainder.

1, 5, 25, 31, 155, 775

Divisors of 341

List of positive integer divisors of 341 that divides 341 without a remainder.

1, 11, 31, 341

Greatest Common Divisior

We found the divisors of 561, 690, 775, 341 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 561, 690, 775, 341 is 1.

Therefore, GCD of numbers 561, 690, 775, 341 is 1

Given Input Data is 561, 690, 775, 341

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

Prime Factorization of 561 is 3 x 11 x 17

Prime Factorization of 690 is 2 x 3 x 5 x 23

Prime Factorization of 775 is 5 x 5 x 31

Prime Factorization of 341 is 11 x 31

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(561, 690) = 129030

GCD(561, 690) = ( 561 x 690 ) / 129030

GCD(561, 690) = 387090 / 129030

GCD(561, 690) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 775

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

LCM(3, 775) = 2325

GCD(3, 775) = ( 3 x 775 ) / 2325

GCD(3, 775) = 2325 / 2325

GCD(3, 775) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 341

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

LCM(1, 341) = 341

GCD(1, 341) = ( 1 x 341 ) / 341

GCD(1, 341) = 341 / 341

GCD(1, 341) = 1

GCD of 561, 690, 775, 341 is 1

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1. What is the GCD of 561, 690, 775, 341?

GCD of 561, 690, 775, 341 is 1

2. Where do I get the detailed procedure to find GCD of 561, 690, 775, 341?

You can find a detailed procedure to find GCD of 561, 690, 775, 341 on our page.

3. How to find GCD of 561, 690, 775, 341 on a calculator?

You can find the GCD of 561, 690, 775, 341 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.