GCD of 968, 714, 945, 809 Calculator

Given Input numbers are 968, 714, 945, 809

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

Divisors of 968

List of positive integer divisors of 968 that divides 968 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 809

List of positive integer divisors of 809 that divides 809 without a remainder.

1, 809

Greatest Common Divisior

We found the divisors of 968, 714, 945, 809 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 968, 714, 945, 809 is 1.

Therefore, GCD of numbers 968, 714, 945, 809 is 1

Given Input Data is 968, 714, 945, 809

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

Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11

Prime Factorization of 714 is 2 x 3 x 7 x 17

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

Prime Factorization of 809 is 809

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(968, 714) = 345576

GCD(968, 714) = ( 968 x 714 ) / 345576

GCD(968, 714) = 691152 / 345576

GCD(968, 714) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 945

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

LCM(2, 945) = 1890

GCD(2, 945) = ( 2 x 945 ) / 1890

GCD(2, 945) = 1890 / 1890

GCD(2, 945) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 809

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

LCM(1, 809) = 809

GCD(1, 809) = ( 1 x 809 ) / 809

GCD(1, 809) = 809 / 809

GCD(1, 809) = 1

GCD of 968, 714, 945, 809 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 332, 780, 676, 867
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• GCD of 352, 172, 209, 286

1. What is the GCD of 968, 714, 945, 809?

GCD of 968, 714, 945, 809 is 1

2. Where do I get the detailed procedure to find GCD of 968, 714, 945, 809?

You can find a detailed procedure to find GCD of 968, 714, 945, 809 on our page.

3. How to find GCD of 968, 714, 945, 809 on a calculator?

You can find the GCD of 968, 714, 945, 809 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.