GCD of 889, 425, 19, 753 Calculator

Given Input numbers are 889, 425, 19, 753

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 425

List of positive integer divisors of 425 that divides 425 without a remainder.

1, 5, 17, 25, 85, 425

Divisors of 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

Divisors of 753

List of positive integer divisors of 753 that divides 753 without a remainder.

1, 3, 251, 753

Greatest Common Divisior

We found the divisors of 889, 425, 19, 753 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 889, 425, 19, 753 is 1.

Therefore, GCD of numbers 889, 425, 19, 753 is 1

Given Input Data is 889, 425, 19, 753

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

Prime Factorization of 889 is 7 x 127

Prime Factorization of 425 is 5 x 5 x 17

Prime Factorization of 19 is 19

Prime Factorization of 753 is 3 x 251

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, 425) = 377825

GCD(889, 425) = ( 889 x 425 ) / 377825

GCD(889, 425) = 377825 / 377825

GCD(889, 425) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 19

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

LCM(1, 19) = 19

GCD(1, 19) = ( 1 x 19 ) / 19

GCD(1, 19) = 19 / 19

GCD(1, 19) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 753

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

LCM(1, 753) = 753

GCD(1, 753) = ( 1 x 753 ) / 753

GCD(1, 753) = 753 / 753

GCD(1, 753) = 1

GCD of 889, 425, 19, 753 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 628, 292, 27, 586
• GCD of 536, 803, 56, 385
• GCD of 589, 872, 24, 148
• GCD of 688, 173, 63, 716
• GCD of 688, 318, 90, 954

1. What is the GCD of 889, 425, 19, 753?

GCD of 889, 425, 19, 753 is 1

2. Where do I get the detailed procedure to find GCD of 889, 425, 19, 753?

You can find a detailed procedure to find GCD of 889, 425, 19, 753 on our page.

3. How to find GCD of 889, 425, 19, 753 on a calculator?

You can find the GCD of 889, 425, 19, 753 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.