GCD of 752, 116, 178, 167 Calculator

Given Input numbers are 752, 116, 178, 167

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

Divisors of 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Divisors of 178

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

1, 2, 89, 178

Divisors of 167

List of positive integer divisors of 167 that divides 167 without a remainder.

1, 167

Greatest Common Divisior

We found the divisors of 752, 116, 178, 167 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 752, 116, 178, 167 is 1.

Therefore, GCD of numbers 752, 116, 178, 167 is 1

Given Input Data is 752, 116, 178, 167

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

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

Prime Factorization of 116 is 2 x 2 x 29

Prime Factorization of 178 is 2 x 89

Prime Factorization of 167 is 167

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(752, 116) = 21808

GCD(752, 116) = ( 752 x 116 ) / 21808

GCD(752, 116) = 87232 / 21808

GCD(752, 116) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 178

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

LCM(4, 178) = 356

GCD(4, 178) = ( 4 x 178 ) / 356

GCD(4, 178) = 712 / 356

GCD(4, 178) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 167

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

LCM(2, 167) = 334

GCD(2, 167) = ( 2 x 167 ) / 334

GCD(2, 167) = 334 / 334

GCD(2, 167) = 1

GCD of 752, 116, 178, 167 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 528, 529, 789, 402
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• GCD of 424, 940, 774, 606

1. What is the GCD of 752, 116, 178, 167?

GCD of 752, 116, 178, 167 is 1

2. Where do I get the detailed procedure to find GCD of 752, 116, 178, 167?

You can find a detailed procedure to find GCD of 752, 116, 178, 167 on our page.

3. How to find GCD of 752, 116, 178, 167 on a calculator?

You can find the GCD of 752, 116, 178, 167 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.