GCD of 66, 782, 263, 397 Calculator

Given Input numbers are 66, 782, 263, 397

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

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 263

List of positive integer divisors of 263 that divides 263 without a remainder.

1, 263

Divisors of 397

List of positive integer divisors of 397 that divides 397 without a remainder.

1, 397

Greatest Common Divisior

We found the divisors of 66, 782, 263, 397 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 66, 782, 263, 397 is 1.

Therefore, GCD of numbers 66, 782, 263, 397 is 1

Given Input Data is 66, 782, 263, 397

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

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 782 is 2 x 17 x 23

Prime Factorization of 263 is 263

Prime Factorization of 397 is 397

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(66, 782) = 25806

GCD(66, 782) = ( 66 x 782 ) / 25806

GCD(66, 782) = 51612 / 25806

GCD(66, 782) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 263

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

LCM(2, 263) = 526

GCD(2, 263) = ( 2 x 263 ) / 526

GCD(2, 263) = 526 / 526

GCD(2, 263) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 397

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

LCM(1, 397) = 397

GCD(1, 397) = ( 1 x 397 ) / 397

GCD(1, 397) = 397 / 397

GCD(1, 397) = 1

GCD of 66, 782, 263, 397 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 30, 836, 251, 413
• GCD of 72, 739, 356, 128
• GCD of 77, 624, 274, 289
• GCD of 76, 622, 789, 627
• GCD of 32, 483, 251, 169

1. What is the GCD of 66, 782, 263, 397?

GCD of 66, 782, 263, 397 is 1

2. Where do I get the detailed procedure to find GCD of 66, 782, 263, 397?

You can find a detailed procedure to find GCD of 66, 782, 263, 397 on our page.

3. How to find GCD of 66, 782, 263, 397 on a calculator?

You can find the GCD of 66, 782, 263, 397 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.