GCD of 172, 235, 945, 128 Calculator

Given Input numbers are 172, 235, 945, 128

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

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Divisors of 235

List of positive integer divisors of 235 that divides 235 without a remainder.

1, 5, 47, 235

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 128

List of positive integer divisors of 128 that divides 128 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128

Greatest Common Divisior

We found the divisors of 172, 235, 945, 128 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 172, 235, 945, 128 is 1.

Therefore, GCD of numbers 172, 235, 945, 128 is 1

Given Input Data is 172, 235, 945, 128

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

Prime Factorization of 172 is 2 x 2 x 43

Prime Factorization of 235 is 5 x 47

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2

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(172, 235) = 40420

GCD(172, 235) = ( 172 x 235 ) / 40420

GCD(172, 235) = 40420 / 40420

GCD(172, 235) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 945

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

LCM(1, 945) = 945

GCD(1, 945) = ( 1 x 945 ) / 945

GCD(1, 945) = 945 / 945

GCD(1, 945) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 128

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

LCM(1, 128) = 128

GCD(1, 128) = ( 1 x 128 ) / 128

GCD(1, 128) = 128 / 128

GCD(1, 128) = 1

GCD of 172, 235, 945, 128 is 1

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1. What is the GCD of 172, 235, 945, 128?

GCD of 172, 235, 945, 128 is 1

2. Where do I get the detailed procedure to find GCD of 172, 235, 945, 128?

You can find a detailed procedure to find GCD of 172, 235, 945, 128 on our page.

3. How to find GCD of 172, 235, 945, 128 on a calculator?

You can find the GCD of 172, 235, 945, 128 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.