GCD of 878, 497, 132, 178 Calculator

Given Input numbers are 878, 497, 132, 178

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

Divisors of 878

List of positive integer divisors of 878 that divides 878 without a remainder.

1, 2, 439, 878

Divisors of 497

List of positive integer divisors of 497 that divides 497 without a remainder.

1, 7, 71, 497

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

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 878, 497, 132, 178 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 878, 497, 132, 178 is 1.

Therefore, GCD of numbers 878, 497, 132, 178 is 1

Given Input Data is 878, 497, 132, 178

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

Prime Factorization of 878 is 2 x 439

Prime Factorization of 497 is 7 x 71

Prime Factorization of 132 is 2 x 2 x 3 x 11

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(878, 497) = 436366

GCD(878, 497) = ( 878 x 497 ) / 436366

GCD(878, 497) = 436366 / 436366

GCD(878, 497) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 132

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

LCM(1, 132) = 132

GCD(1, 132) = ( 1 x 132 ) / 132

GCD(1, 132) = 132 / 132

GCD(1, 132) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 178

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

LCM(1, 178) = 178

GCD(1, 178) = ( 1 x 178 ) / 178

GCD(1, 178) = 178 / 178

GCD(1, 178) = 1

GCD of 878, 497, 132, 178 is 1

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1. What is the GCD of 878, 497, 132, 178?

GCD of 878, 497, 132, 178 is 1

2. Where do I get the detailed procedure to find GCD of 878, 497, 132, 178?

You can find a detailed procedure to find GCD of 878, 497, 132, 178 on our page.

3. How to find GCD of 878, 497, 132, 178 on a calculator?

You can find the GCD of 878, 497, 132, 178 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.