GCD of 178, 170, 43, 105 Calculator

Given Input numbers are 178, 170, 43, 105

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

Divisors of 178

List of positive integer divisors of 178 that divides 178 without a remainder.

1, 2, 89, 178

Divisors of 170

List of positive integer divisors of 170 that divides 170 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170

Divisors of 43

List of positive integer divisors of 43 that divides 43 without a remainder.

1, 43

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Greatest Common Divisior

We found the divisors of 178, 170, 43, 105 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 178, 170, 43, 105 is 1.

Therefore, GCD of numbers 178, 170, 43, 105 is 1

Given Input Data is 178, 170, 43, 105

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

Prime Factorization of 178 is 2 x 89

Prime Factorization of 170 is 2 x 5 x 17

Prime Factorization of 43 is 43

Prime Factorization of 105 is 3 x 5 x 7

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(178, 170) = 15130

GCD(178, 170) = ( 178 x 170 ) / 15130

GCD(178, 170) = 30260 / 15130

GCD(178, 170) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 43

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

LCM(2, 43) = 86

GCD(2, 43) = ( 2 x 43 ) / 86

GCD(2, 43) = 86 / 86

GCD(2, 43) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 105

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

LCM(1, 105) = 105

GCD(1, 105) = ( 1 x 105 ) / 105

GCD(1, 105) = 105 / 105

GCD(1, 105) = 1

GCD of 178, 170, 43, 105 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 761, 114, 23, 701
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• GCD of 839, 912, 46, 334
• GCD of 267, 862, 32, 344

1. What is the GCD of 178, 170, 43, 105?

GCD of 178, 170, 43, 105 is 1

2. Where do I get the detailed procedure to find GCD of 178, 170, 43, 105?

You can find a detailed procedure to find GCD of 178, 170, 43, 105 on our page.

3. How to find GCD of 178, 170, 43, 105 on a calculator?

You can find the GCD of 178, 170, 43, 105 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.