GCD of 895, 889, 832, 921 Calculator

Given Input numbers are 895, 889, 832, 921

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

Divisors of 895

List of positive integer divisors of 895 that divides 895 without a remainder.

1, 5, 179, 895

Divisors of 889

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

1, 7, 127, 889

Divisors of 832

List of positive integer divisors of 832 that divides 832 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

Divisors of 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Greatest Common Divisior

We found the divisors of 895, 889, 832, 921 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 895, 889, 832, 921 is 1.

Therefore, GCD of numbers 895, 889, 832, 921 is 1

Given Input Data is 895, 889, 832, 921

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

Prime Factorization of 895 is 5 x 179

Prime Factorization of 889 is 7 x 127

Prime Factorization of 832 is 2 x 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 921 is 3 x 307

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(895, 889) = 795655

GCD(895, 889) = ( 895 x 889 ) / 795655

GCD(895, 889) = 795655 / 795655

GCD(895, 889) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 832

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

LCM(1, 832) = 832

GCD(1, 832) = ( 1 x 832 ) / 832

GCD(1, 832) = 832 / 832

GCD(1, 832) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 921

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

LCM(1, 921) = 921

GCD(1, 921) = ( 1 x 921 ) / 921

GCD(1, 921) = 921 / 921

GCD(1, 921) = 1

GCD of 895, 889, 832, 921 is 1

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1. What is the GCD of 895, 889, 832, 921?

GCD of 895, 889, 832, 921 is 1

2. Where do I get the detailed procedure to find GCD of 895, 889, 832, 921?

You can find a detailed procedure to find GCD of 895, 889, 832, 921 on our page.

3. How to find GCD of 895, 889, 832, 921 on a calculator?

You can find the GCD of 895, 889, 832, 921 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.