GCD of 85, 369, 136, 176 Calculator

Given Input numbers are 85, 369, 136, 176

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

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 136

List of positive integer divisors of 136 that divides 136 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136

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

Greatest Common Divisior

We found the divisors of 85, 369, 136, 176 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 85, 369, 136, 176 is 1.

Therefore, GCD of numbers 85, 369, 136, 176 is 1

Given Input Data is 85, 369, 136, 176

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

Prime Factorization of 85 is 5 x 17

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 136 is 2 x 2 x 2 x 17

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

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(85, 369) = 31365

GCD(85, 369) = ( 85 x 369 ) / 31365

GCD(85, 369) = 31365 / 31365

GCD(85, 369) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 136

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

LCM(1, 136) = 136

GCD(1, 136) = ( 1 x 136 ) / 136

GCD(1, 136) = 136 / 136

GCD(1, 136) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 176

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

LCM(1, 176) = 176

GCD(1, 176) = ( 1 x 176 ) / 176

GCD(1, 176) = 176 / 176

GCD(1, 176) = 1

GCD of 85, 369, 136, 176 is 1

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1. What is the GCD of 85, 369, 136, 176?

GCD of 85, 369, 136, 176 is 1

2. Where do I get the detailed procedure to find GCD of 85, 369, 136, 176?

You can find a detailed procedure to find GCD of 85, 369, 136, 176 on our page.

3. How to find GCD of 85, 369, 136, 176 on a calculator?

You can find the GCD of 85, 369, 136, 176 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.