GCD of 801, 153, 821, 343 Calculator

Given Input numbers are 801, 153, 821, 343

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 153

List of positive integer divisors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

Divisors of 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Greatest Common Divisior

We found the divisors of 801, 153, 821, 343 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 801, 153, 821, 343 is 1.

Therefore, GCD of numbers 801, 153, 821, 343 is 1

Given Input Data is 801, 153, 821, 343

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 153 is 3 x 3 x 17

Prime Factorization of 821 is 821

Prime Factorization of 343 is 7 x 7 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(801, 153) = 13617

GCD(801, 153) = ( 801 x 153 ) / 13617

GCD(801, 153) = 122553 / 13617

GCD(801, 153) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 821

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

LCM(9, 821) = 7389

GCD(9, 821) = ( 9 x 821 ) / 7389

GCD(9, 821) = 7389 / 7389

GCD(9, 821) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 343

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

LCM(1, 343) = 343

GCD(1, 343) = ( 1 x 343 ) / 343

GCD(1, 343) = 343 / 343

GCD(1, 343) = 1

GCD of 801, 153, 821, 343 is 1

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1. What is the GCD of 801, 153, 821, 343?

GCD of 801, 153, 821, 343 is 1

2. Where do I get the detailed procedure to find GCD of 801, 153, 821, 343?

You can find a detailed procedure to find GCD of 801, 153, 821, 343 on our page.

3. How to find GCD of 801, 153, 821, 343 on a calculator?

You can find the GCD of 801, 153, 821, 343 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.