GCD of 463, 409, 977, 714 Calculator

Given Input numbers are 463, 409, 977, 714

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

Divisors of 463

List of positive integer divisors of 463 that divides 463 without a remainder.

1, 463

Divisors of 409

List of positive integer divisors of 409 that divides 409 without a remainder.

1, 409

Divisors of 977

List of positive integer divisors of 977 that divides 977 without a remainder.

1, 977

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

Greatest Common Divisior

We found the divisors of 463, 409, 977, 714 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 463, 409, 977, 714 is 1.

Therefore, GCD of numbers 463, 409, 977, 714 is 1

Given Input Data is 463, 409, 977, 714

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

Prime Factorization of 463 is 463

Prime Factorization of 409 is 409

Prime Factorization of 977 is 977

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

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(463, 409) = 189367

GCD(463, 409) = ( 463 x 409 ) / 189367

GCD(463, 409) = 189367 / 189367

GCD(463, 409) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 977

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

LCM(1, 977) = 977

GCD(1, 977) = ( 1 x 977 ) / 977

GCD(1, 977) = 977 / 977

GCD(1, 977) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 714

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

LCM(1, 714) = 714

GCD(1, 714) = ( 1 x 714 ) / 714

GCD(1, 714) = 714 / 714

GCD(1, 714) = 1

GCD of 463, 409, 977, 714 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 296, 118, 420, 506
• GCD of 187, 822, 834, 613
• GCD of 140, 824, 326, 193
• GCD of 373, 414, 412, 932
• GCD of 941, 227, 432, 215

1. What is the GCD of 463, 409, 977, 714?

GCD of 463, 409, 977, 714 is 1

2. Where do I get the detailed procedure to find GCD of 463, 409, 977, 714?

You can find a detailed procedure to find GCD of 463, 409, 977, 714 on our page.

3. How to find GCD of 463, 409, 977, 714 on a calculator?

You can find the GCD of 463, 409, 977, 714 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.