GCD of 267, 963, 782, 414 Calculator

Given Input numbers are 267, 963, 782, 414

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

Divisors of 267

List of positive integer divisors of 267 that divides 267 without a remainder.

1, 3, 89, 267

Divisors of 963

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

1, 3, 9, 107, 321, 963

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 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Greatest Common Divisior

We found the divisors of 267, 963, 782, 414 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 267, 963, 782, 414 is 1.

Therefore, GCD of numbers 267, 963, 782, 414 is 1

Given Input Data is 267, 963, 782, 414

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

Prime Factorization of 267 is 3 x 89

Prime Factorization of 963 is 3 x 3 x 107

Prime Factorization of 782 is 2 x 17 x 23

Prime Factorization of 414 is 2 x 3 x 3 x 23

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(267, 963) = 85707

GCD(267, 963) = ( 267 x 963 ) / 85707

GCD(267, 963) = 257121 / 85707

GCD(267, 963) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 782

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

LCM(3, 782) = 2346

GCD(3, 782) = ( 3 x 782 ) / 2346

GCD(3, 782) = 2346 / 2346

GCD(3, 782) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 414

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

LCM(1, 414) = 414

GCD(1, 414) = ( 1 x 414 ) / 414

GCD(1, 414) = 414 / 414

GCD(1, 414) = 1

GCD of 267, 963, 782, 414 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 627, 134, 176, 711
• GCD of 874, 706, 628, 691
• GCD of 941, 812, 791, 886
• GCD of 984, 511, 681, 855
• GCD of 174, 975, 689, 876

1. What is the GCD of 267, 963, 782, 414?

GCD of 267, 963, 782, 414 is 1

2. Where do I get the detailed procedure to find GCD of 267, 963, 782, 414?

You can find a detailed procedure to find GCD of 267, 963, 782, 414 on our page.

3. How to find GCD of 267, 963, 782, 414 on a calculator?

You can find the GCD of 267, 963, 782, 414 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.