GCD of 268, 190, 62, 182 Calculator

Given Input numbers are 268, 190, 62, 182

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

Divisors of 268

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

1, 2, 4, 67, 134, 268

Divisors of 190

List of positive integer divisors of 190 that divides 190 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190

Divisors of 62

List of positive integer divisors of 62 that divides 62 without a remainder.

1, 2, 31, 62

Divisors of 182

List of positive integer divisors of 182 that divides 182 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182

Greatest Common Divisior

We found the divisors of 268, 190, 62, 182 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 268, 190, 62, 182 is 2.

Therefore, GCD of numbers 268, 190, 62, 182 is 2

Given Input Data is 268, 190, 62, 182

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

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 190 is 2 x 5 x 19

Prime Factorization of 62 is 2 x 31

Prime Factorization of 182 is 2 x 7 x 13

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(268, 190) = 25460

GCD(268, 190) = ( 268 x 190 ) / 25460

GCD(268, 190) = 50920 / 25460

GCD(268, 190) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 62

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

LCM(2, 62) = 62

GCD(2, 62) = ( 2 x 62 ) / 62

GCD(2, 62) = 124 / 62

GCD(2, 62) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 182

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

LCM(2, 182) = 182

GCD(2, 182) = ( 2 x 182 ) / 182

GCD(2, 182) = 364 / 182

GCD(2, 182) = 2

GCD of 268, 190, 62, 182 is 2

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1. What is the GCD of 268, 190, 62, 182?

GCD of 268, 190, 62, 182 is 2

2. Where do I get the detailed procedure to find GCD of 268, 190, 62, 182?

You can find a detailed procedure to find GCD of 268, 190, 62, 182 on our page.

3. How to find GCD of 268, 190, 62, 182 on a calculator?

You can find the GCD of 268, 190, 62, 182 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.