GCD of 267, 450, 63, 711 Calculator

Given Input numbers are 267, 450, 63, 711

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 450

List of positive integer divisors of 450 that divides 450 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 63

List of positive integer divisors of 63 that divides 63 without a remainder.

1, 3, 7, 9, 21, 63

Divisors of 711

List of positive integer divisors of 711 that divides 711 without a remainder.

1, 3, 9, 79, 237, 711

Greatest Common Divisior

We found the divisors of 267, 450, 63, 711 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 267, 450, 63, 711 is 3.

Therefore, GCD of numbers 267, 450, 63, 711 is 3

Given Input Data is 267, 450, 63, 711

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

Prime Factorization of 267 is 3 x 89

Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5

Prime Factorization of 63 is 3 x 3 x 7

Prime Factorization of 711 is 3 x 3 x 79

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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, 450) = 40050

GCD(267, 450) = ( 267 x 450 ) / 40050

GCD(267, 450) = 120150 / 40050

GCD(267, 450) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 63

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

LCM(3, 63) = 63

GCD(3, 63) = ( 3 x 63 ) / 63

GCD(3, 63) = 189 / 63

GCD(3, 63) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 711

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

LCM(3, 711) = 711

GCD(3, 711) = ( 3 x 711 ) / 711

GCD(3, 711) = 2133 / 711

GCD(3, 711) = 3

GCD of 267, 450, 63, 711 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 196, 364, 24, 322
• GCD of 712, 637, 64, 886
• GCD of 983, 674, 12, 602
• GCD of 277, 581, 36, 932
• GCD of 486, 488, 36, 775

1. What is the GCD of 267, 450, 63, 711?

GCD of 267, 450, 63, 711 is 3

2. Where do I get the detailed procedure to find GCD of 267, 450, 63, 711?

You can find a detailed procedure to find GCD of 267, 450, 63, 711 on our page.

3. How to find GCD of 267, 450, 63, 711 on a calculator?

You can find the GCD of 267, 450, 63, 711 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.