GCD of 420, 504, 630, 891 Calculator

Given Input numbers are 420, 504, 630, 891

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

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 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 630

List of positive integer divisors of 630 that divides 630 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Divisors of 891

List of positive integer divisors of 891 that divides 891 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Greatest Common Divisior

We found the divisors of 420, 504, 630, 891 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 420, 504, 630, 891 is 3.

Therefore, GCD of numbers 420, 504, 630, 891 is 3

Given Input Data is 420, 504, 630, 891

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

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

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

Prime Factorization of 630 is 2 x 3 x 3 x 5 x 7

Prime Factorization of 891 is 3 x 3 x 3 x 3 x 11

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(420, 504) = 2520

GCD(420, 504) = ( 420 x 504 ) / 2520

GCD(420, 504) = 211680 / 2520

GCD(420, 504) = 84

Step2:

Here we consider the GCD from the above i.e. 84 as first number and the next as 630

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

LCM(84, 630) = 1260

GCD(84, 630) = ( 84 x 630 ) / 1260

GCD(84, 630) = 52920 / 1260

GCD(84, 630) = 42

Step3:

Here we consider the GCD from the above i.e. 42 as first number and the next as 891

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

LCM(42, 891) = 12474

GCD(42, 891) = ( 42 x 891 ) / 12474

GCD(42, 891) = 37422 / 12474

GCD(42, 891) = 3

GCD of 420, 504, 630, 891 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 121, 563, 191, 631
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• GCD of 759, 343, 135, 979

1. What is the GCD of 420, 504, 630, 891?

GCD of 420, 504, 630, 891 is 3

2. Where do I get the detailed procedure to find GCD of 420, 504, 630, 891?

You can find a detailed procedure to find GCD of 420, 504, 630, 891 on our page.

3. How to find GCD of 420, 504, 630, 891 on a calculator?

You can find the GCD of 420, 504, 630, 891 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.