GCD of 823, 298, 101, 178 Calculator

Given Input numbers are 823, 298, 101, 178

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

Divisors of 823

List of positive integer divisors of 823 that divides 823 without a remainder.

1, 823

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Divisors of 101

List of positive integer divisors of 101 that divides 101 without a remainder.

1, 101

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 823, 298, 101, 178 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 823, 298, 101, 178 is 1.

Therefore, GCD of numbers 823, 298, 101, 178 is 1

Given Input Data is 823, 298, 101, 178

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

Prime Factorization of 823 is 823

Prime Factorization of 298 is 2 x 149

Prime Factorization of 101 is 101

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(823, 298) = 245254

GCD(823, 298) = ( 823 x 298 ) / 245254

GCD(823, 298) = 245254 / 245254

GCD(823, 298) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 101

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

LCM(1, 101) = 101

GCD(1, 101) = ( 1 x 101 ) / 101

GCD(1, 101) = 101 / 101

GCD(1, 101) = 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 823, 298, 101, 178 is 1

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1. What is the GCD of 823, 298, 101, 178?

GCD of 823, 298, 101, 178 is 1

2. Where do I get the detailed procedure to find GCD of 823, 298, 101, 178?

You can find a detailed procedure to find GCD of 823, 298, 101, 178 on our page.

3. How to find GCD of 823, 298, 101, 178 on a calculator?

You can find the GCD of 823, 298, 101, 178 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.