GCD of 400, 648, 71, 267 Calculator

Given Input numbers are 400, 648, 71, 267

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

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 267

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

1, 3, 89, 267

Greatest Common Divisior

We found the divisors of 400, 648, 71, 267 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 400, 648, 71, 267 is 1.

Therefore, GCD of numbers 400, 648, 71, 267 is 1

Given Input Data is 400, 648, 71, 267

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

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 71 is 71

Prime Factorization of 267 is 3 x 89

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(400, 648) = 32400

GCD(400, 648) = ( 400 x 648 ) / 32400

GCD(400, 648) = 259200 / 32400

GCD(400, 648) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 71

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

LCM(8, 71) = 568

GCD(8, 71) = ( 8 x 71 ) / 568

GCD(8, 71) = 568 / 568

GCD(8, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 267

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

LCM(1, 267) = 267

GCD(1, 267) = ( 1 x 267 ) / 267

GCD(1, 267) = 267 / 267

GCD(1, 267) = 1

GCD of 400, 648, 71, 267 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 701, 513, 35, 910
• GCD of 291, 297, 15, 817
• GCD of 277, 939, 40, 856
• GCD of 533, 224, 38, 185
• GCD of 567, 790, 10, 577

1. What is the GCD of 400, 648, 71, 267?

GCD of 400, 648, 71, 267 is 1

2. Where do I get the detailed procedure to find GCD of 400, 648, 71, 267?

You can find a detailed procedure to find GCD of 400, 648, 71, 267 on our page.

3. How to find GCD of 400, 648, 71, 267 on a calculator?

You can find the GCD of 400, 648, 71, 267 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.