GCD of 682, 280, 65, 359 Calculator

Given Input numbers are 682, 280, 65, 359

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

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 280

List of positive integer divisors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 359

List of positive integer divisors of 359 that divides 359 without a remainder.

1, 359

Greatest Common Divisior

We found the divisors of 682, 280, 65, 359 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 682, 280, 65, 359 is 1.

Therefore, GCD of numbers 682, 280, 65, 359 is 1

Given Input Data is 682, 280, 65, 359

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

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7

Prime Factorization of 65 is 5 x 13

Prime Factorization of 359 is 359

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(682, 280) = 95480

GCD(682, 280) = ( 682 x 280 ) / 95480

GCD(682, 280) = 190960 / 95480

GCD(682, 280) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 65

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

LCM(2, 65) = 130

GCD(2, 65) = ( 2 x 65 ) / 130

GCD(2, 65) = 130 / 130

GCD(2, 65) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 359

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

LCM(1, 359) = 359

GCD(1, 359) = ( 1 x 359 ) / 359

GCD(1, 359) = 359 / 359

GCD(1, 359) = 1

GCD of 682, 280, 65, 359 is 1

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1. What is the GCD of 682, 280, 65, 359?

GCD of 682, 280, 65, 359 is 1

2. Where do I get the detailed procedure to find GCD of 682, 280, 65, 359?

You can find a detailed procedure to find GCD of 682, 280, 65, 359 on our page.

3. How to find GCD of 682, 280, 65, 359 on a calculator?

You can find the GCD of 682, 280, 65, 359 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.