GCD of 680, 617, 235, 546 Calculator

Given Input numbers are 680, 617, 235, 546

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

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 617

List of positive integer divisors of 617 that divides 617 without a remainder.

1, 617

Divisors of 235

List of positive integer divisors of 235 that divides 235 without a remainder.

1, 5, 47, 235

Divisors of 546

List of positive integer divisors of 546 that divides 546 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Greatest Common Divisior

We found the divisors of 680, 617, 235, 546 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 680, 617, 235, 546 is 1.

Therefore, GCD of numbers 680, 617, 235, 546 is 1

Given Input Data is 680, 617, 235, 546

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

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

Prime Factorization of 617 is 617

Prime Factorization of 235 is 5 x 47

Prime Factorization of 546 is 2 x 3 x 7 x 13

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(680, 617) = 419560

GCD(680, 617) = ( 680 x 617 ) / 419560

GCD(680, 617) = 419560 / 419560

GCD(680, 617) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 235

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

LCM(1, 235) = 235

GCD(1, 235) = ( 1 x 235 ) / 235

GCD(1, 235) = 235 / 235

GCD(1, 235) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 546

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

LCM(1, 546) = 546

GCD(1, 546) = ( 1 x 546 ) / 546

GCD(1, 546) = 546 / 546

GCD(1, 546) = 1

GCD of 680, 617, 235, 546 is 1

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1. What is the GCD of 680, 617, 235, 546?

GCD of 680, 617, 235, 546 is 1

2. Where do I get the detailed procedure to find GCD of 680, 617, 235, 546?

You can find a detailed procedure to find GCD of 680, 617, 235, 546 on our page.

3. How to find GCD of 680, 617, 235, 546 on a calculator?

You can find the GCD of 680, 617, 235, 546 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.