GCD of 868, 177, 105, 118 Calculator

Given Input numbers are 868, 177, 105, 118

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

Divisors of 868

List of positive integer divisors of 868 that divides 868 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Divisors of 177

List of positive integer divisors of 177 that divides 177 without a remainder.

1, 3, 59, 177

Divisors of 105

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

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

Divisors of 118

List of positive integer divisors of 118 that divides 118 without a remainder.

1, 2, 59, 118

Greatest Common Divisior

We found the divisors of 868, 177, 105, 118 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 868, 177, 105, 118 is 1.

Therefore, GCD of numbers 868, 177, 105, 118 is 1

Given Input Data is 868, 177, 105, 118

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

Prime Factorization of 868 is 2 x 2 x 7 x 31

Prime Factorization of 177 is 3 x 59

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 118 is 2 x 59

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(868, 177) = 153636

GCD(868, 177) = ( 868 x 177 ) / 153636

GCD(868, 177) = 153636 / 153636

GCD(868, 177) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 118

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

LCM(1, 118) = 118

GCD(1, 118) = ( 1 x 118 ) / 118

GCD(1, 118) = 118 / 118

GCD(1, 118) = 1

GCD of 868, 177, 105, 118 is 1

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• GCD of 968, 924, 413, 405
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• GCD of 152, 799, 442, 304

1. What is the GCD of 868, 177, 105, 118?

GCD of 868, 177, 105, 118 is 1

2. Where do I get the detailed procedure to find GCD of 868, 177, 105, 118?

You can find a detailed procedure to find GCD of 868, 177, 105, 118 on our page.

3. How to find GCD of 868, 177, 105, 118 on a calculator?

You can find the GCD of 868, 177, 105, 118 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.