GCD of 814, 469, 982, 786 Calculator

Given Input numbers are 814, 469, 982, 786

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 469

List of positive integer divisors of 469 that divides 469 without a remainder.

1, 7, 67, 469

Divisors of 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

Divisors of 786

List of positive integer divisors of 786 that divides 786 without a remainder.

1, 2, 3, 6, 131, 262, 393, 786

Greatest Common Divisior

We found the divisors of 814, 469, 982, 786 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 814, 469, 982, 786 is 1.

Therefore, GCD of numbers 814, 469, 982, 786 is 1

Given Input Data is 814, 469, 982, 786

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 469 is 7 x 67

Prime Factorization of 982 is 2 x 491

Prime Factorization of 786 is 2 x 3 x 131

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, 469) = 381766

GCD(814, 469) = ( 814 x 469 ) / 381766

GCD(814, 469) = 381766 / 381766

GCD(814, 469) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 982

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

LCM(1, 982) = 982

GCD(1, 982) = ( 1 x 982 ) / 982

GCD(1, 982) = 982 / 982

GCD(1, 982) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 786

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

LCM(1, 786) = 786

GCD(1, 786) = ( 1 x 786 ) / 786

GCD(1, 786) = 786 / 786

GCD(1, 786) = 1

GCD of 814, 469, 982, 786 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 163, 161, 996, 430
• GCD of 347, 637, 157, 894
• GCD of 972, 571, 920, 844
• GCD of 472, 773, 380, 222
• GCD of 502, 963, 372, 493

1. What is the GCD of 814, 469, 982, 786?

GCD of 814, 469, 982, 786 is 1

2. Where do I get the detailed procedure to find GCD of 814, 469, 982, 786?

You can find a detailed procedure to find GCD of 814, 469, 982, 786 on our page.

3. How to find GCD of 814, 469, 982, 786 on a calculator?

You can find the GCD of 814, 469, 982, 786 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.