GCD of 176, 532, 78, 795 Calculator

Given Input numbers are 176, 532, 78, 795

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

Divisors of 176

List of positive integer divisors of 176 that divides 176 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Divisors of 532

List of positive integer divisors of 532 that divides 532 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 795

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

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

Greatest Common Divisior

We found the divisors of 176, 532, 78, 795 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 176, 532, 78, 795 is 1.

Therefore, GCD of numbers 176, 532, 78, 795 is 1

Given Input Data is 176, 532, 78, 795

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

Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11

Prime Factorization of 532 is 2 x 2 x 7 x 19

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 795 is 3 x 5 x 53

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(176, 532) = 23408

GCD(176, 532) = ( 176 x 532 ) / 23408

GCD(176, 532) = 93632 / 23408

GCD(176, 532) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 78

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

LCM(4, 78) = 156

GCD(4, 78) = ( 4 x 78 ) / 156

GCD(4, 78) = 312 / 156

GCD(4, 78) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 795

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

LCM(2, 795) = 1590

GCD(2, 795) = ( 2 x 795 ) / 1590

GCD(2, 795) = 1590 / 1590

GCD(2, 795) = 1

GCD of 176, 532, 78, 795 is 1

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1. What is the GCD of 176, 532, 78, 795?

GCD of 176, 532, 78, 795 is 1

2. Where do I get the detailed procedure to find GCD of 176, 532, 78, 795?

You can find a detailed procedure to find GCD of 176, 532, 78, 795 on our page.

3. How to find GCD of 176, 532, 78, 795 on a calculator?

You can find the GCD of 176, 532, 78, 795 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.