GCD of 685, 261, 975, 543 Calculator

Given Input numbers are 685, 261, 975, 543

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

Divisors of 685

List of positive integer divisors of 685 that divides 685 without a remainder.

1, 5, 137, 685

Divisors of 261

List of positive integer divisors of 261 that divides 261 without a remainder.

1, 3, 9, 29, 87, 261

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 543

List of positive integer divisors of 543 that divides 543 without a remainder.

1, 3, 181, 543

Greatest Common Divisior

We found the divisors of 685, 261, 975, 543 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 685, 261, 975, 543 is 1.

Therefore, GCD of numbers 685, 261, 975, 543 is 1

Given Input Data is 685, 261, 975, 543

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

Prime Factorization of 685 is 5 x 137

Prime Factorization of 261 is 3 x 3 x 29

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

Prime Factorization of 543 is 3 x 181

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(685, 261) = 178785

GCD(685, 261) = ( 685 x 261 ) / 178785

GCD(685, 261) = 178785 / 178785

GCD(685, 261) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 975

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

LCM(1, 975) = 975

GCD(1, 975) = ( 1 x 975 ) / 975

GCD(1, 975) = 975 / 975

GCD(1, 975) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 543

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

LCM(1, 543) = 543

GCD(1, 543) = ( 1 x 543 ) / 543

GCD(1, 543) = 543 / 543

GCD(1, 543) = 1

GCD of 685, 261, 975, 543 is 1

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1. What is the GCD of 685, 261, 975, 543?

GCD of 685, 261, 975, 543 is 1

2. Where do I get the detailed procedure to find GCD of 685, 261, 975, 543?

You can find a detailed procedure to find GCD of 685, 261, 975, 543 on our page.

3. How to find GCD of 685, 261, 975, 543 on a calculator?

You can find the GCD of 685, 261, 975, 543 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.