GCD of 889, 254, 525, 703 Calculator

Given Input numbers are 889, 254, 525, 703

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

Divisors of 889

List of positive integer divisors of 889 that divides 889 without a remainder.

1, 7, 127, 889

Divisors of 254

List of positive integer divisors of 254 that divides 254 without a remainder.

1, 2, 127, 254

Divisors of 525

List of positive integer divisors of 525 that divides 525 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Divisors of 703

List of positive integer divisors of 703 that divides 703 without a remainder.

1, 19, 37, 703

Greatest Common Divisior

We found the divisors of 889, 254, 525, 703 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 889, 254, 525, 703 is 1.

Therefore, GCD of numbers 889, 254, 525, 703 is 1

Given Input Data is 889, 254, 525, 703

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

Prime Factorization of 889 is 7 x 127

Prime Factorization of 254 is 2 x 127

Prime Factorization of 525 is 3 x 5 x 5 x 7

Prime Factorization of 703 is 19 x 37

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(889, 254) = 1778

GCD(889, 254) = ( 889 x 254 ) / 1778

GCD(889, 254) = 225806 / 1778

GCD(889, 254) = 127

Step2:

Here we consider the GCD from the above i.e. 127 as first number and the next as 525

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

LCM(127, 525) = 66675

GCD(127, 525) = ( 127 x 525 ) / 66675

GCD(127, 525) = 66675 / 66675

GCD(127, 525) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 703

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

LCM(1, 703) = 703

GCD(1, 703) = ( 1 x 703 ) / 703

GCD(1, 703) = 703 / 703

GCD(1, 703) = 1

GCD of 889, 254, 525, 703 is 1

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1. What is the GCD of 889, 254, 525, 703?

GCD of 889, 254, 525, 703 is 1

2. Where do I get the detailed procedure to find GCD of 889, 254, 525, 703?

You can find a detailed procedure to find GCD of 889, 254, 525, 703 on our page.

3. How to find GCD of 889, 254, 525, 703 on a calculator?

You can find the GCD of 889, 254, 525, 703 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.