GCD of 878, 161, 122, 345 Calculator

Given Input numbers are 878, 161, 122, 345

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 161

List of positive integer divisors of 161 that divides 161 without a remainder.

1, 7, 23, 161

Divisors of 122

List of positive integer divisors of 122 that divides 122 without a remainder.

1, 2, 61, 122

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Greatest Common Divisior

We found the divisors of 878, 161, 122, 345 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 878, 161, 122, 345 is 1.

Therefore, GCD of numbers 878, 161, 122, 345 is 1

Given Input Data is 878, 161, 122, 345

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

Prime Factorization of 878 is 2 x 439

Prime Factorization of 161 is 7 x 23

Prime Factorization of 122 is 2 x 61

Prime Factorization of 345 is 3 x 5 x 23

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, 161) = 141358

GCD(878, 161) = ( 878 x 161 ) / 141358

GCD(878, 161) = 141358 / 141358

GCD(878, 161) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 122

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

LCM(1, 122) = 122

GCD(1, 122) = ( 1 x 122 ) / 122

GCD(1, 122) = 122 / 122

GCD(1, 122) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 345

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

LCM(1, 345) = 345

GCD(1, 345) = ( 1 x 345 ) / 345

GCD(1, 345) = 345 / 345

GCD(1, 345) = 1

GCD of 878, 161, 122, 345 is 1

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1. What is the GCD of 878, 161, 122, 345?

GCD of 878, 161, 122, 345 is 1

2. Where do I get the detailed procedure to find GCD of 878, 161, 122, 345?

You can find a detailed procedure to find GCD of 878, 161, 122, 345 on our page.

3. How to find GCD of 878, 161, 122, 345 on a calculator?

You can find the GCD of 878, 161, 122, 345 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.