GCD of 483, 711, 420, 896 Calculator

Given Input numbers are 483, 711, 420, 896

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

Divisors of 483

List of positive integer divisors of 483 that divides 483 without a remainder.

1, 3, 7, 21, 23, 69, 161, 483

Divisors of 711

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

1, 3, 9, 79, 237, 711

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 896

List of positive integer divisors of 896 that divides 896 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Greatest Common Divisior

We found the divisors of 483, 711, 420, 896 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 483, 711, 420, 896 is 1.

Therefore, GCD of numbers 483, 711, 420, 896 is 1

Given Input Data is 483, 711, 420, 896

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

Prime Factorization of 483 is 3 x 7 x 23

Prime Factorization of 711 is 3 x 3 x 79

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

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(483, 711) = 114471

GCD(483, 711) = ( 483 x 711 ) / 114471

GCD(483, 711) = 343413 / 114471

GCD(483, 711) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 420

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

LCM(3, 420) = 420

GCD(3, 420) = ( 3 x 420 ) / 420

GCD(3, 420) = 1260 / 420

GCD(3, 420) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 896

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

LCM(3, 896) = 2688

GCD(3, 896) = ( 3 x 896 ) / 2688

GCD(3, 896) = 2688 / 2688

GCD(3, 896) = 1

GCD of 483, 711, 420, 896 is 1

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1. What is the GCD of 483, 711, 420, 896?

GCD of 483, 711, 420, 896 is 1

2. Where do I get the detailed procedure to find GCD of 483, 711, 420, 896?

You can find a detailed procedure to find GCD of 483, 711, 420, 896 on our page.

3. How to find GCD of 483, 711, 420, 896 on a calculator?

You can find the GCD of 483, 711, 420, 896 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.