GCD of 801, 840, 741, 819 Calculator

Given Input numbers are 801, 840, 741, 819

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

Divisors of 801

List of positive integer divisors of 801 that divides 801 without a remainder.

1, 3, 9, 89, 267, 801

Divisors of 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 741

List of positive integer divisors of 741 that divides 741 without a remainder.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 819

List of positive integer divisors of 819 that divides 819 without a remainder.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

Greatest Common Divisior

We found the divisors of 801, 840, 741, 819 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 801, 840, 741, 819 is 3.

Therefore, GCD of numbers 801, 840, 741, 819 is 3

Given Input Data is 801, 840, 741, 819

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

Prime Factorization of 801 is 3 x 3 x 89

Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7

Prime Factorization of 741 is 3 x 13 x 19

Prime Factorization of 819 is 3 x 3 x 7 x 13

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(801, 840) = 224280

GCD(801, 840) = ( 801 x 840 ) / 224280

GCD(801, 840) = 672840 / 224280

GCD(801, 840) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 741

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

LCM(3, 741) = 741

GCD(3, 741) = ( 3 x 741 ) / 741

GCD(3, 741) = 2223 / 741

GCD(3, 741) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 819

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

LCM(3, 819) = 819

GCD(3, 819) = ( 3 x 819 ) / 819

GCD(3, 819) = 2457 / 819

GCD(3, 819) = 3

GCD of 801, 840, 741, 819 is 3

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1. What is the GCD of 801, 840, 741, 819?

GCD of 801, 840, 741, 819 is 3

2. Where do I get the detailed procedure to find GCD of 801, 840, 741, 819?

You can find a detailed procedure to find GCD of 801, 840, 741, 819 on our page.

3. How to find GCD of 801, 840, 741, 819 on a calculator?

You can find the GCD of 801, 840, 741, 819 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.