GCD of 170, 970, 925, 175 Calculator

Given Input numbers are 170, 970, 925, 175

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

Divisors of 170

List of positive integer divisors of 170 that divides 170 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170

Divisors of 970

List of positive integer divisors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

Divisors of 925

List of positive integer divisors of 925 that divides 925 without a remainder.

1, 5, 25, 37, 185, 925

Divisors of 175

List of positive integer divisors of 175 that divides 175 without a remainder.

1, 5, 7, 25, 35, 175

Greatest Common Divisior

We found the divisors of 170, 970, 925, 175 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 170, 970, 925, 175 is 5.

Therefore, GCD of numbers 170, 970, 925, 175 is 5

Given Input Data is 170, 970, 925, 175

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

Prime Factorization of 170 is 2 x 5 x 17

Prime Factorization of 970 is 2 x 5 x 97

Prime Factorization of 925 is 5 x 5 x 37

Prime Factorization of 175 is 5 x 5 x 7

Highest common occurrences in the given inputs are 5¹

Multiplying them we get the GCD as 5

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(170, 970) = 16490

GCD(170, 970) = ( 170 x 970 ) / 16490

GCD(170, 970) = 164900 / 16490

GCD(170, 970) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 925

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

LCM(10, 925) = 1850

GCD(10, 925) = ( 10 x 925 ) / 1850

GCD(10, 925) = 9250 / 1850

GCD(10, 925) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 175

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

LCM(5, 175) = 175

GCD(5, 175) = ( 5 x 175 ) / 175

GCD(5, 175) = 875 / 175

GCD(5, 175) = 5

GCD of 170, 970, 925, 175 is 5

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1. What is the GCD of 170, 970, 925, 175?

GCD of 170, 970, 925, 175 is 5

2. Where do I get the detailed procedure to find GCD of 170, 970, 925, 175?

You can find a detailed procedure to find GCD of 170, 970, 925, 175 on our page.

3. How to find GCD of 170, 970, 925, 175 on a calculator?

You can find the GCD of 170, 970, 925, 175 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.