GCD of 711, 477, 90, 252 Calculator

Given Input numbers are 711, 477, 90, 252

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

Divisors of 711

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

1, 3, 9, 79, 237, 711

Divisors of 477

List of positive integer divisors of 477 that divides 477 without a remainder.

1, 3, 9, 53, 159, 477

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 252

List of positive integer divisors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Greatest Common Divisior

We found the divisors of 711, 477, 90, 252 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 711, 477, 90, 252 is 9.

Therefore, GCD of numbers 711, 477, 90, 252 is 9

Given Input Data is 711, 477, 90, 252

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

Prime Factorization of 711 is 3 x 3 x 79

Prime Factorization of 477 is 3 x 3 x 53

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7

Highest common occurrences in the given inputs are 3²

Multiplying them we get the GCD as 9

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(711, 477) = 37683

GCD(711, 477) = ( 711 x 477 ) / 37683

GCD(711, 477) = 339147 / 37683

GCD(711, 477) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 90

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

LCM(9, 90) = 90

GCD(9, 90) = ( 9 x 90 ) / 90

GCD(9, 90) = 810 / 90

GCD(9, 90) = 9

Step3:

Here we consider the GCD from the above i.e. 9 as first number and the next as 252

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

LCM(9, 252) = 252

GCD(9, 252) = ( 9 x 252 ) / 252

GCD(9, 252) = 2268 / 252

GCD(9, 252) = 9

GCD of 711, 477, 90, 252 is 9

Here are some samples of GCD of Numbers calculations.

• GCD of 547, 274, 40, 705
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• GCD of 671, 752, 37, 257
• GCD of 968, 292, 47, 357
• GCD of 910, 770, 25, 758

1. What is the GCD of 711, 477, 90, 252?

GCD of 711, 477, 90, 252 is 9

2. Where do I get the detailed procedure to find GCD of 711, 477, 90, 252?

You can find a detailed procedure to find GCD of 711, 477, 90, 252 on our page.

3. How to find GCD of 711, 477, 90, 252 on a calculator?

You can find the GCD of 711, 477, 90, 252 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.