GCD of 298, 177, 76, 168 Calculator

Given Input numbers are 298, 177, 76, 168

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

Divisors of 298

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

1, 2, 149, 298

Divisors of 177

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

1, 3, 59, 177

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 168

List of positive integer divisors of 168 that divides 168 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Greatest Common Divisior

We found the divisors of 298, 177, 76, 168 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 298, 177, 76, 168 is 1.

Therefore, GCD of numbers 298, 177, 76, 168 is 1

Given Input Data is 298, 177, 76, 168

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

Prime Factorization of 298 is 2 x 149

Prime Factorization of 177 is 3 x 59

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 168 is 2 x 2 x 2 x 3 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(298, 177) = 52746

GCD(298, 177) = ( 298 x 177 ) / 52746

GCD(298, 177) = 52746 / 52746

GCD(298, 177) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 76

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

LCM(1, 76) = 76

GCD(1, 76) = ( 1 x 76 ) / 76

GCD(1, 76) = 76 / 76

GCD(1, 76) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 168

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

LCM(1, 168) = 168

GCD(1, 168) = ( 1 x 168 ) / 168

GCD(1, 168) = 168 / 168

GCD(1, 168) = 1

GCD of 298, 177, 76, 168 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 349, 466, 71, 817
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• GCD of 772, 360, 75, 136
• GCD of 221, 589, 38, 576
• GCD of 469, 279, 92, 715

1. What is the GCD of 298, 177, 76, 168?

GCD of 298, 177, 76, 168 is 1

2. Where do I get the detailed procedure to find GCD of 298, 177, 76, 168?

You can find a detailed procedure to find GCD of 298, 177, 76, 168 on our page.

3. How to find GCD of 298, 177, 76, 168 on a calculator?

You can find the GCD of 298, 177, 76, 168 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.