GCD of 168, 268, 35, 474 Calculator

Given Input numbers are 168, 268, 35, 474

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

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

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Greatest Common Divisior

We found the divisors of 168, 268, 35, 474 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 168, 268, 35, 474 is 1.

Therefore, GCD of numbers 168, 268, 35, 474 is 1

Given Input Data is 168, 268, 35, 474

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

Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 35 is 5 x 7

Prime Factorization of 474 is 2 x 3 x 79

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(168, 268) = 11256

GCD(168, 268) = ( 168 x 268 ) / 11256

GCD(168, 268) = 45024 / 11256

GCD(168, 268) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 35

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

LCM(4, 35) = 140

GCD(4, 35) = ( 4 x 35 ) / 140

GCD(4, 35) = 140 / 140

GCD(4, 35) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 474

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

LCM(1, 474) = 474

GCD(1, 474) = ( 1 x 474 ) / 474

GCD(1, 474) = 474 / 474

GCD(1, 474) = 1

GCD of 168, 268, 35, 474 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 580, 424, 14, 835
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• GCD of 924, 878, 86, 957
• GCD of 122, 518, 28, 663
• GCD of 588, 246, 36, 502

1. What is the GCD of 168, 268, 35, 474?

GCD of 168, 268, 35, 474 is 1

2. Where do I get the detailed procedure to find GCD of 168, 268, 35, 474?

You can find a detailed procedure to find GCD of 168, 268, 35, 474 on our page.

3. How to find GCD of 168, 268, 35, 474 on a calculator?

You can find the GCD of 168, 268, 35, 474 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.