GCD of 234, 642, 62, 253 Calculator

Given Input numbers are 234, 642, 62, 253

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

Divisors of 234

List of positive integer divisors of 234 that divides 234 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 62

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

1, 2, 31, 62

Divisors of 253

List of positive integer divisors of 253 that divides 253 without a remainder.

1, 11, 23, 253

Greatest Common Divisior

We found the divisors of 234, 642, 62, 253 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 234, 642, 62, 253 is 1.

Therefore, GCD of numbers 234, 642, 62, 253 is 1

Given Input Data is 234, 642, 62, 253

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

Prime Factorization of 234 is 2 x 3 x 3 x 13

Prime Factorization of 642 is 2 x 3 x 107

Prime Factorization of 62 is 2 x 31

Prime Factorization of 253 is 11 x 23

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(234, 642) = 25038

GCD(234, 642) = ( 234 x 642 ) / 25038

GCD(234, 642) = 150228 / 25038

GCD(234, 642) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 62

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

LCM(6, 62) = 186

GCD(6, 62) = ( 6 x 62 ) / 186

GCD(6, 62) = 372 / 186

GCD(6, 62) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 253

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

LCM(2, 253) = 506

GCD(2, 253) = ( 2 x 253 ) / 506

GCD(2, 253) = 506 / 506

GCD(2, 253) = 1

GCD of 234, 642, 62, 253 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 107, 543, 33, 616
• GCD of 470, 194, 42, 801
• GCD of 131, 718, 50, 186
• GCD of 482, 207, 41, 876
• GCD of 233, 503, 21, 347

1. What is the GCD of 234, 642, 62, 253?

GCD of 234, 642, 62, 253 is 1

2. Where do I get the detailed procedure to find GCD of 234, 642, 62, 253?

You can find a detailed procedure to find GCD of 234, 642, 62, 253 on our page.

3. How to find GCD of 234, 642, 62, 253 on a calculator?

You can find the GCD of 234, 642, 62, 253 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.