GCD of 975, 155, 25, 188 Calculator

Given Input numbers are 975, 155, 25, 188

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

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 155

List of positive integer divisors of 155 that divides 155 without a remainder.

1, 5, 31, 155

Divisors of 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

Divisors of 188

List of positive integer divisors of 188 that divides 188 without a remainder.

1, 2, 4, 47, 94, 188

Greatest Common Divisior

We found the divisors of 975, 155, 25, 188 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 975, 155, 25, 188 is 1.

Therefore, GCD of numbers 975, 155, 25, 188 is 1

Given Input Data is 975, 155, 25, 188

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

Prime Factorization of 975 is 3 x 5 x 5 x 13

Prime Factorization of 155 is 5 x 31

Prime Factorization of 25 is 5 x 5

Prime Factorization of 188 is 2 x 2 x 47

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(975, 155) = 30225

GCD(975, 155) = ( 975 x 155 ) / 30225

GCD(975, 155) = 151125 / 30225

GCD(975, 155) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 25

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

LCM(5, 25) = 25

GCD(5, 25) = ( 5 x 25 ) / 25

GCD(5, 25) = 125 / 25

GCD(5, 25) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 188

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

LCM(5, 188) = 940

GCD(5, 188) = ( 5 x 188 ) / 940

GCD(5, 188) = 940 / 940

GCD(5, 188) = 1

GCD of 975, 155, 25, 188 is 1

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• GCD of 495, 848, 17, 178
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1. What is the GCD of 975, 155, 25, 188?

GCD of 975, 155, 25, 188 is 1

2. Where do I get the detailed procedure to find GCD of 975, 155, 25, 188?

You can find a detailed procedure to find GCD of 975, 155, 25, 188 on our page.

3. How to find GCD of 975, 155, 25, 188 on a calculator?

You can find the GCD of 975, 155, 25, 188 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.