GCD of 635, 838, 874, 875 Calculator

Given Input numbers are 635, 838, 874, 875

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

Divisors of 635

List of positive integer divisors of 635 that divides 635 without a remainder.

1, 5, 127, 635

Divisors of 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

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 875

List of positive integer divisors of 875 that divides 875 without a remainder.

1, 5, 7, 25, 35, 125, 175, 875

Greatest Common Divisior

We found the divisors of 635, 838, 874, 875 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 635, 838, 874, 875 is 1.

Therefore, GCD of numbers 635, 838, 874, 875 is 1

Given Input Data is 635, 838, 874, 875

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

Prime Factorization of 635 is 5 x 127

Prime Factorization of 838 is 2 x 419

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 875 is 5 x 5 x 5 x 7

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(635, 838) = 532130

GCD(635, 838) = ( 635 x 838 ) / 532130

GCD(635, 838) = 532130 / 532130

GCD(635, 838) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 875

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

LCM(1, 875) = 875

GCD(1, 875) = ( 1 x 875 ) / 875

GCD(1, 875) = 875 / 875

GCD(1, 875) = 1

GCD of 635, 838, 874, 875 is 1

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1. What is the GCD of 635, 838, 874, 875?

GCD of 635, 838, 874, 875 is 1

2. Where do I get the detailed procedure to find GCD of 635, 838, 874, 875?

You can find a detailed procedure to find GCD of 635, 838, 874, 875 on our page.

3. How to find GCD of 635, 838, 874, 875 on a calculator?

You can find the GCD of 635, 838, 874, 875 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.