GCD of 874, 285, 97, 653 Calculator

Given Input numbers are 874, 285, 97, 653

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

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 285

List of positive integer divisors of 285 that divides 285 without a remainder.

1, 3, 5, 15, 19, 57, 95, 285

Divisors of 97

List of positive integer divisors of 97 that divides 97 without a remainder.

1, 97

Divisors of 653

List of positive integer divisors of 653 that divides 653 without a remainder.

1, 653

Greatest Common Divisior

We found the divisors of 874, 285, 97, 653 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 874, 285, 97, 653 is 1.

Therefore, GCD of numbers 874, 285, 97, 653 is 1

Given Input Data is 874, 285, 97, 653

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

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 285 is 3 x 5 x 19

Prime Factorization of 97 is 97

Prime Factorization of 653 is 653

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(874, 285) = 13110

GCD(874, 285) = ( 874 x 285 ) / 13110

GCD(874, 285) = 249090 / 13110

GCD(874, 285) = 19

Step2:

Here we consider the GCD from the above i.e. 19 as first number and the next as 97

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

LCM(19, 97) = 1843

GCD(19, 97) = ( 19 x 97 ) / 1843

GCD(19, 97) = 1843 / 1843

GCD(19, 97) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 653

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

LCM(1, 653) = 653

GCD(1, 653) = ( 1 x 653 ) / 653

GCD(1, 653) = 653 / 653

GCD(1, 653) = 1

GCD of 874, 285, 97, 653 is 1

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1. What is the GCD of 874, 285, 97, 653?

GCD of 874, 285, 97, 653 is 1

2. Where do I get the detailed procedure to find GCD of 874, 285, 97, 653?

You can find a detailed procedure to find GCD of 874, 285, 97, 653 on our page.

3. How to find GCD of 874, 285, 97, 653 on a calculator?

You can find the GCD of 874, 285, 97, 653 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.