GCD of 577, 343, 16, 874 Calculator

Given Input numbers are 577, 343, 16, 874

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

Divisors of 577

List of positive integer divisors of 577 that divides 577 without a remainder.

1, 577

Divisors of 343

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

1, 7, 49, 343

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Greatest Common Divisior

We found the divisors of 577, 343, 16, 874 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 577, 343, 16, 874 is 1.

Therefore, GCD of numbers 577, 343, 16, 874 is 1

Given Input Data is 577, 343, 16, 874

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

Prime Factorization of 577 is 577

Prime Factorization of 343 is 7 x 7 x 7

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 874 is 2 x 19 x 23

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(577, 343) = 197911

GCD(577, 343) = ( 577 x 343 ) / 197911

GCD(577, 343) = 197911 / 197911

GCD(577, 343) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 16

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

LCM(1, 16) = 16

GCD(1, 16) = ( 1 x 16 ) / 16

GCD(1, 16) = 16 / 16

GCD(1, 16) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 874

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

LCM(1, 874) = 874

GCD(1, 874) = ( 1 x 874 ) / 874

GCD(1, 874) = 874 / 874

GCD(1, 874) = 1

GCD of 577, 343, 16, 874 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 155, 450, 75, 732
• GCD of 957, 129, 47, 270
• GCD of 683, 433, 49, 531
• GCD of 899, 798, 57, 329
• GCD of 284, 905, 67, 985

1. What is the GCD of 577, 343, 16, 874?

GCD of 577, 343, 16, 874 is 1

2. Where do I get the detailed procedure to find GCD of 577, 343, 16, 874?

You can find a detailed procedure to find GCD of 577, 343, 16, 874 on our page.

3. How to find GCD of 577, 343, 16, 874 on a calculator?

You can find the GCD of 577, 343, 16, 874 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.