GCD of 680, 718, 357, 609 Calculator

Given Input numbers are 680, 718, 357, 609

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 718

List of positive integer divisors of 718 that divides 718 without a remainder.

1, 2, 359, 718

Divisors of 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 609

List of positive integer divisors of 609 that divides 609 without a remainder.

1, 3, 7, 21, 29, 87, 203, 609

Greatest Common Divisior

We found the divisors of 680, 718, 357, 609 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 680, 718, 357, 609 is 1.

Therefore, GCD of numbers 680, 718, 357, 609 is 1

Given Input Data is 680, 718, 357, 609

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 718 is 2 x 359

Prime Factorization of 357 is 3 x 7 x 17

Prime Factorization of 609 is 3 x 7 x 29

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, 718) = 244120

GCD(680, 718) = ( 680 x 718 ) / 244120

GCD(680, 718) = 488240 / 244120

GCD(680, 718) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 357

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

LCM(2, 357) = 714

GCD(2, 357) = ( 2 x 357 ) / 714

GCD(2, 357) = 714 / 714

GCD(2, 357) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 609

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

LCM(1, 609) = 609

GCD(1, 609) = ( 1 x 609 ) / 609

GCD(1, 609) = 609 / 609

GCD(1, 609) = 1

GCD of 680, 718, 357, 609 is 1

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• GCD of 137, 408, 133, 814
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1. What is the GCD of 680, 718, 357, 609?

GCD of 680, 718, 357, 609 is 1

2. Where do I get the detailed procedure to find GCD of 680, 718, 357, 609?

You can find a detailed procedure to find GCD of 680, 718, 357, 609 on our page.

3. How to find GCD of 680, 718, 357, 609 on a calculator?

You can find the GCD of 680, 718, 357, 609 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.