GCD of 161, 805, 76, 343 Calculator

Given Input numbers are 161, 805, 76, 343

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

Divisors of 161

List of positive integer divisors of 161 that divides 161 without a remainder.

1, 7, 23, 161

Divisors of 805

List of positive integer divisors of 805 that divides 805 without a remainder.

1, 5, 7, 23, 35, 115, 161, 805

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

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 161, 805, 76, 343 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 161, 805, 76, 343 is 1.

Therefore, GCD of numbers 161, 805, 76, 343 is 1

Given Input Data is 161, 805, 76, 343

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

Prime Factorization of 161 is 7 x 23

Prime Factorization of 805 is 5 x 7 x 23

Prime Factorization of 76 is 2 x 2 x 19

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(161, 805) = 805

GCD(161, 805) = ( 161 x 805 ) / 805

GCD(161, 805) = 129605 / 805

GCD(161, 805) = 161

Step2:

Here we consider the GCD from the above i.e. 161 as first number and the next as 76

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

LCM(161, 76) = 12236

GCD(161, 76) = ( 161 x 76 ) / 12236

GCD(161, 76) = 12236 / 12236

GCD(161, 76) = 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 161, 805, 76, 343 is 1

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1. What is the GCD of 161, 805, 76, 343?

GCD of 161, 805, 76, 343 is 1

2. Where do I get the detailed procedure to find GCD of 161, 805, 76, 343?

You can find a detailed procedure to find GCD of 161, 805, 76, 343 on our page.

3. How to find GCD of 161, 805, 76, 343 on a calculator?

You can find the GCD of 161, 805, 76, 343 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.