GCD of 75, 795, 732, 178 Calculator

Given Input numbers are 75, 795, 732, 178

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

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 795

List of positive integer divisors of 795 that divides 795 without a remainder.

1, 3, 5, 15, 53, 159, 265, 795

Divisors of 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 178

List of positive integer divisors of 178 that divides 178 without a remainder.

1, 2, 89, 178

Greatest Common Divisior

We found the divisors of 75, 795, 732, 178 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 75, 795, 732, 178 is 1.

Therefore, GCD of numbers 75, 795, 732, 178 is 1

Given Input Data is 75, 795, 732, 178

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

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 795 is 3 x 5 x 53

Prime Factorization of 732 is 2 x 2 x 3 x 61

Prime Factorization of 178 is 2 x 89

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(75, 795) = 3975

GCD(75, 795) = ( 75 x 795 ) / 3975

GCD(75, 795) = 59625 / 3975

GCD(75, 795) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 732

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

LCM(15, 732) = 3660

GCD(15, 732) = ( 15 x 732 ) / 3660

GCD(15, 732) = 10980 / 3660

GCD(15, 732) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 178

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

LCM(3, 178) = 534

GCD(3, 178) = ( 3 x 178 ) / 534

GCD(3, 178) = 534 / 534

GCD(3, 178) = 1

GCD of 75, 795, 732, 178 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 32, 267, 234, 744
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• GCD of 68, 957, 195, 478
• GCD of 33, 207, 207, 188

1. What is the GCD of 75, 795, 732, 178?

GCD of 75, 795, 732, 178 is 1

2. Where do I get the detailed procedure to find GCD of 75, 795, 732, 178?

You can find a detailed procedure to find GCD of 75, 795, 732, 178 on our page.

3. How to find GCD of 75, 795, 732, 178 on a calculator?

You can find the GCD of 75, 795, 732, 178 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.