GCD of 850, 575, 272, 874 Calculator

Given Input numbers are 850, 575, 272, 874

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

Divisors of 850

List of positive integer divisors of 850 that divides 850 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

Divisors of 575

List of positive integer divisors of 575 that divides 575 without a remainder.

1, 5, 23, 25, 115, 575

Divisors of 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

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 850, 575, 272, 874 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 850, 575, 272, 874 is 1.

Therefore, GCD of numbers 850, 575, 272, 874 is 1

Given Input Data is 850, 575, 272, 874

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

Prime Factorization of 850 is 2 x 5 x 5 x 17

Prime Factorization of 575 is 5 x 5 x 23

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

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(850, 575) = 19550

GCD(850, 575) = ( 850 x 575 ) / 19550

GCD(850, 575) = 488750 / 19550

GCD(850, 575) = 25

Step2:

Here we consider the GCD from the above i.e. 25 as first number and the next as 272

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

LCM(25, 272) = 6800

GCD(25, 272) = ( 25 x 272 ) / 6800

GCD(25, 272) = 6800 / 6800

GCD(25, 272) = 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 850, 575, 272, 874 is 1

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1. What is the GCD of 850, 575, 272, 874?

GCD of 850, 575, 272, 874 is 1

2. Where do I get the detailed procedure to find GCD of 850, 575, 272, 874?

You can find a detailed procedure to find GCD of 850, 575, 272, 874 on our page.

3. How to find GCD of 850, 575, 272, 874 on a calculator?

You can find the GCD of 850, 575, 272, 874 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.