GCD of 688, 150, 215, 875 Calculator

Given Input numbers are 688, 150, 215, 875

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

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 215

List of positive integer divisors of 215 that divides 215 without a remainder.

1, 5, 43, 215

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 688, 150, 215, 875 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 688, 150, 215, 875 is 1.

Therefore, GCD of numbers 688, 150, 215, 875 is 1

Given Input Data is 688, 150, 215, 875

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

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

Prime Factorization of 150 is 2 x 3 x 5 x 5

Prime Factorization of 215 is 5 x 43

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(688, 150) = 51600

GCD(688, 150) = ( 688 x 150 ) / 51600

GCD(688, 150) = 103200 / 51600

GCD(688, 150) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 215

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

LCM(2, 215) = 430

GCD(2, 215) = ( 2 x 215 ) / 430

GCD(2, 215) = 430 / 430

GCD(2, 215) = 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 688, 150, 215, 875 is 1

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1. What is the GCD of 688, 150, 215, 875?

GCD of 688, 150, 215, 875 is 1

2. Where do I get the detailed procedure to find GCD of 688, 150, 215, 875?

You can find a detailed procedure to find GCD of 688, 150, 215, 875 on our page.

3. How to find GCD of 688, 150, 215, 875 on a calculator?

You can find the GCD of 688, 150, 215, 875 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.