GCD of 29, 874, 464, 211 Calculator

Given Input numbers are 29, 874, 464, 211

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

Divisors of 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

Divisors of 874

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

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

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 211

List of positive integer divisors of 211 that divides 211 without a remainder.

1, 211

Greatest Common Divisior

We found the divisors of 29, 874, 464, 211 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 29, 874, 464, 211 is 1.

Therefore, GCD of numbers 29, 874, 464, 211 is 1

Given Input Data is 29, 874, 464, 211

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

Prime Factorization of 29 is 29

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

Prime Factorization of 211 is 211

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(29, 874) = 25346

GCD(29, 874) = ( 29 x 874 ) / 25346

GCD(29, 874) = 25346 / 25346

GCD(29, 874) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 464

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

LCM(1, 464) = 464

GCD(1, 464) = ( 1 x 464 ) / 464

GCD(1, 464) = 464 / 464

GCD(1, 464) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 211

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

LCM(1, 211) = 211

GCD(1, 211) = ( 1 x 211 ) / 211

GCD(1, 211) = 211 / 211

GCD(1, 211) = 1

GCD of 29, 874, 464, 211 is 1

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1. What is the GCD of 29, 874, 464, 211?

GCD of 29, 874, 464, 211 is 1

2. Where do I get the detailed procedure to find GCD of 29, 874, 464, 211?

You can find a detailed procedure to find GCD of 29, 874, 464, 211 on our page.

3. How to find GCD of 29, 874, 464, 211 on a calculator?

You can find the GCD of 29, 874, 464, 211 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.