GCD of 642, 284, 119, 253 Calculator

Given Input numbers are 642, 284, 119, 253

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

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 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Divisors of 119

List of positive integer divisors of 119 that divides 119 without a remainder.

1, 7, 17, 119

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 642, 284, 119, 253 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 642, 284, 119, 253 is 1.

Therefore, GCD of numbers 642, 284, 119, 253 is 1

Given Input Data is 642, 284, 119, 253

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

Prime Factorization of 642 is 2 x 3 x 107

Prime Factorization of 284 is 2 x 2 x 71

Prime Factorization of 119 is 7 x 17

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(642, 284) = 91164

GCD(642, 284) = ( 642 x 284 ) / 91164

GCD(642, 284) = 182328 / 91164

GCD(642, 284) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 119

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

LCM(2, 119) = 238

GCD(2, 119) = ( 2 x 119 ) / 238

GCD(2, 119) = 238 / 238

GCD(2, 119) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 253

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

LCM(1, 253) = 253

GCD(1, 253) = ( 1 x 253 ) / 253

GCD(1, 253) = 253 / 253

GCD(1, 253) = 1

GCD of 642, 284, 119, 253 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 732, 328, 697, 288
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• GCD of 320, 932, 245, 595
• GCD of 754, 623, 422, 282
• GCD of 107, 395, 489, 335

1. What is the GCD of 642, 284, 119, 253?

GCD of 642, 284, 119, 253 is 1

2. Where do I get the detailed procedure to find GCD of 642, 284, 119, 253?

You can find a detailed procedure to find GCD of 642, 284, 119, 253 on our page.

3. How to find GCD of 642, 284, 119, 253 on a calculator?

You can find the GCD of 642, 284, 119, 253 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.