GCD of 675, 536, 47, 874 Calculator

Given Input numbers are 675, 536, 47, 874

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

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 536

List of positive integer divisors of 536 that divides 536 without a remainder.

1, 2, 4, 8, 67, 134, 268, 536

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

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 675, 536, 47, 874 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 675, 536, 47, 874 is 1.

Therefore, GCD of numbers 675, 536, 47, 874 is 1

Given Input Data is 675, 536, 47, 874

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

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

Prime Factorization of 536 is 2 x 2 x 2 x 67

Prime Factorization of 47 is 47

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(675, 536) = 361800

GCD(675, 536) = ( 675 x 536 ) / 361800

GCD(675, 536) = 361800 / 361800

GCD(675, 536) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 47

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

LCM(1, 47) = 47

GCD(1, 47) = ( 1 x 47 ) / 47

GCD(1, 47) = 47 / 47

GCD(1, 47) = 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 675, 536, 47, 874 is 1

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1. What is the GCD of 675, 536, 47, 874?

GCD of 675, 536, 47, 874 is 1

2. Where do I get the detailed procedure to find GCD of 675, 536, 47, 874?

You can find a detailed procedure to find GCD of 675, 536, 47, 874 on our page.

3. How to find GCD of 675, 536, 47, 874 on a calculator?

You can find the GCD of 675, 536, 47, 874 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.