GCD of 680, 719, 176, 961 Calculator

Given Input numbers are 680, 719, 176, 961

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 719

List of positive integer divisors of 719 that divides 719 without a remainder.

1, 719

Divisors of 176

List of positive integer divisors of 176 that divides 176 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Divisors of 961

List of positive integer divisors of 961 that divides 961 without a remainder.

1, 31, 961

Greatest Common Divisior

We found the divisors of 680, 719, 176, 961 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 680, 719, 176, 961 is 1.

Therefore, GCD of numbers 680, 719, 176, 961 is 1

Given Input Data is 680, 719, 176, 961

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 719 is 719

Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11

Prime Factorization of 961 is 31 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(680, 719) = 488920

GCD(680, 719) = ( 680 x 719 ) / 488920

GCD(680, 719) = 488920 / 488920

GCD(680, 719) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 176

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

LCM(1, 176) = 176

GCD(1, 176) = ( 1 x 176 ) / 176

GCD(1, 176) = 176 / 176

GCD(1, 176) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 961

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

LCM(1, 961) = 961

GCD(1, 961) = ( 1 x 961 ) / 961

GCD(1, 961) = 961 / 961

GCD(1, 961) = 1

GCD of 680, 719, 176, 961 is 1

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1. What is the GCD of 680, 719, 176, 961?

GCD of 680, 719, 176, 961 is 1

2. Where do I get the detailed procedure to find GCD of 680, 719, 176, 961?

You can find a detailed procedure to find GCD of 680, 719, 176, 961 on our page.

3. How to find GCD of 680, 719, 176, 961 on a calculator?

You can find the GCD of 680, 719, 176, 961 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.