GCD of 267, 782, 416, 858 Calculator

Given Input numbers are 267, 782, 416, 858

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 782

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

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

Divisors of 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Divisors of 858

List of positive integer divisors of 858 that divides 858 without a remainder.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

Greatest Common Divisior

We found the divisors of 267, 782, 416, 858 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 267, 782, 416, 858 is 1.

Therefore, GCD of numbers 267, 782, 416, 858 is 1

Given Input Data is 267, 782, 416, 858

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

Prime Factorization of 267 is 3 x 89

Prime Factorization of 782 is 2 x 17 x 23

Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 858 is 2 x 3 x 11 x 13

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, 782) = 208794

GCD(267, 782) = ( 267 x 782 ) / 208794

GCD(267, 782) = 208794 / 208794

GCD(267, 782) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 416

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

LCM(1, 416) = 416

GCD(1, 416) = ( 1 x 416 ) / 416

GCD(1, 416) = 416 / 416

GCD(1, 416) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 858

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

LCM(1, 858) = 858

GCD(1, 858) = ( 1 x 858 ) / 858

GCD(1, 858) = 858 / 858

GCD(1, 858) = 1

GCD of 267, 782, 416, 858 is 1

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1. What is the GCD of 267, 782, 416, 858?

GCD of 267, 782, 416, 858 is 1

2. Where do I get the detailed procedure to find GCD of 267, 782, 416, 858?

You can find a detailed procedure to find GCD of 267, 782, 416, 858 on our page.

3. How to find GCD of 267, 782, 416, 858 on a calculator?

You can find the GCD of 267, 782, 416, 858 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.