GCD of 690, 975, 573, 341 Calculator

Given Input numbers are 690, 975, 573, 341

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

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 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 573

List of positive integer divisors of 573 that divides 573 without a remainder.

1, 3, 191, 573

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 690, 975, 573, 341 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 690, 975, 573, 341 is 1.

Therefore, GCD of numbers 690, 975, 573, 341 is 1

Given Input Data is 690, 975, 573, 341

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

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

Prime Factorization of 975 is 3 x 5 x 5 x 13

Prime Factorization of 573 is 3 x 191

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(690, 975) = 44850

GCD(690, 975) = ( 690 x 975 ) / 44850

GCD(690, 975) = 672750 / 44850

GCD(690, 975) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 573

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

LCM(15, 573) = 2865

GCD(15, 573) = ( 15 x 573 ) / 2865

GCD(15, 573) = 8595 / 2865

GCD(15, 573) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 341

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

LCM(3, 341) = 1023

GCD(3, 341) = ( 3 x 341 ) / 1023

GCD(3, 341) = 1023 / 1023

GCD(3, 341) = 1

GCD of 690, 975, 573, 341 is 1

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1. What is the GCD of 690, 975, 573, 341?

GCD of 690, 975, 573, 341 is 1

2. Where do I get the detailed procedure to find GCD of 690, 975, 573, 341?

You can find a detailed procedure to find GCD of 690, 975, 573, 341 on our page.

3. How to find GCD of 690, 975, 573, 341 on a calculator?

You can find the GCD of 690, 975, 573, 341 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.