GCD of 188, 276, 417, 975 Calculator

Given Input numbers are 188, 276, 417, 975

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

Divisors of 188

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

1, 2, 4, 47, 94, 188

Divisors of 276

List of positive integer divisors of 276 that divides 276 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Divisors of 417

List of positive integer divisors of 417 that divides 417 without a remainder.

1, 3, 139, 417

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

Greatest Common Divisior

We found the divisors of 188, 276, 417, 975 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 188, 276, 417, 975 is 1.

Therefore, GCD of numbers 188, 276, 417, 975 is 1

Given Input Data is 188, 276, 417, 975

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

Prime Factorization of 188 is 2 x 2 x 47

Prime Factorization of 276 is 2 x 2 x 3 x 23

Prime Factorization of 417 is 3 x 139

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

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(188, 276) = 12972

GCD(188, 276) = ( 188 x 276 ) / 12972

GCD(188, 276) = 51888 / 12972

GCD(188, 276) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 417

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

LCM(4, 417) = 1668

GCD(4, 417) = ( 4 x 417 ) / 1668

GCD(4, 417) = 1668 / 1668

GCD(4, 417) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 975

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

LCM(1, 975) = 975

GCD(1, 975) = ( 1 x 975 ) / 975

GCD(1, 975) = 975 / 975

GCD(1, 975) = 1

GCD of 188, 276, 417, 975 is 1

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• GCD of 403, 476, 846, 834
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1. What is the GCD of 188, 276, 417, 975?

GCD of 188, 276, 417, 975 is 1

2. Where do I get the detailed procedure to find GCD of 188, 276, 417, 975?

You can find a detailed procedure to find GCD of 188, 276, 417, 975 on our page.

3. How to find GCD of 188, 276, 417, 975 on a calculator?

You can find the GCD of 188, 276, 417, 975 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.