GCD of 814, 718, 138, 963 Calculator

Given Input numbers are 814, 718, 138, 963

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

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 718

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

1, 2, 359, 718

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 963

List of positive integer divisors of 963 that divides 963 without a remainder.

1, 3, 9, 107, 321, 963

Greatest Common Divisior

We found the divisors of 814, 718, 138, 963 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 814, 718, 138, 963 is 1.

Therefore, GCD of numbers 814, 718, 138, 963 is 1

Given Input Data is 814, 718, 138, 963

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

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 718 is 2 x 359

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 963 is 3 x 3 x 107

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(814, 718) = 292226

GCD(814, 718) = ( 814 x 718 ) / 292226

GCD(814, 718) = 584452 / 292226

GCD(814, 718) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 138

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

LCM(2, 138) = 138

GCD(2, 138) = ( 2 x 138 ) / 138

GCD(2, 138) = 276 / 138

GCD(2, 138) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 963

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

LCM(2, 963) = 1926

GCD(2, 963) = ( 2 x 963 ) / 1926

GCD(2, 963) = 1926 / 1926

GCD(2, 963) = 1

GCD of 814, 718, 138, 963 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 350, 948, 489, 423
• GCD of 492, 324, 763, 694
• GCD of 603, 862, 677, 963
• GCD of 577, 864, 492, 723
• GCD of 272, 511, 574, 728

1. What is the GCD of 814, 718, 138, 963?

GCD of 814, 718, 138, 963 is 1

2. Where do I get the detailed procedure to find GCD of 814, 718, 138, 963?

You can find a detailed procedure to find GCD of 814, 718, 138, 963 on our page.

3. How to find GCD of 814, 718, 138, 963 on a calculator?

You can find the GCD of 814, 718, 138, 963 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.