GCD of 610, 142, 12, 262 Calculator

Given Input numbers are 610, 142, 12, 262

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

Divisors of 610

List of positive integer divisors of 610 that divides 610 without a remainder.

1, 2, 5, 10, 61, 122, 305, 610

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 262

List of positive integer divisors of 262 that divides 262 without a remainder.

1, 2, 131, 262

Greatest Common Divisior

We found the divisors of 610, 142, 12, 262 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 610, 142, 12, 262 is 2.

Therefore, GCD of numbers 610, 142, 12, 262 is 2

Given Input Data is 610, 142, 12, 262

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

Prime Factorization of 610 is 2 x 5 x 61

Prime Factorization of 142 is 2 x 71

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 262 is 2 x 131

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(610, 142) = 43310

GCD(610, 142) = ( 610 x 142 ) / 43310

GCD(610, 142) = 86620 / 43310

GCD(610, 142) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 12

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

LCM(2, 12) = 12

GCD(2, 12) = ( 2 x 12 ) / 12

GCD(2, 12) = 24 / 12

GCD(2, 12) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 262

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

LCM(2, 262) = 262

GCD(2, 262) = ( 2 x 262 ) / 262

GCD(2, 262) = 524 / 262

GCD(2, 262) = 2

GCD of 610, 142, 12, 262 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 600, 431, 62, 639
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• GCD of 786, 288, 11, 148

1. What is the GCD of 610, 142, 12, 262?

GCD of 610, 142, 12, 262 is 2

2. Where do I get the detailed procedure to find GCD of 610, 142, 12, 262?

You can find a detailed procedure to find GCD of 610, 142, 12, 262 on our page.

3. How to find GCD of 610, 142, 12, 262 on a calculator?

You can find the GCD of 610, 142, 12, 262 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.