GCD of 614, 262, 98, 382 Calculator

Given Input numbers are 614, 262, 98, 382

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

Divisors of 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Divisors of 262

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

1, 2, 131, 262

Divisors of 98

List of positive integer divisors of 98 that divides 98 without a remainder.

1, 2, 7, 14, 49, 98

Divisors of 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Greatest Common Divisior

We found the divisors of 614, 262, 98, 382 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 614, 262, 98, 382 is 2.

Therefore, GCD of numbers 614, 262, 98, 382 is 2

Given Input Data is 614, 262, 98, 382

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

Prime Factorization of 614 is 2 x 307

Prime Factorization of 262 is 2 x 131

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 382 is 2 x 191

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(614, 262) = 80434

GCD(614, 262) = ( 614 x 262 ) / 80434

GCD(614, 262) = 160868 / 80434

GCD(614, 262) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 98

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

LCM(2, 98) = 98

GCD(2, 98) = ( 2 x 98 ) / 98

GCD(2, 98) = 196 / 98

GCD(2, 98) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 382

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

LCM(2, 382) = 382

GCD(2, 382) = ( 2 x 382 ) / 382

GCD(2, 382) = 764 / 382

GCD(2, 382) = 2

GCD of 614, 262, 98, 382 is 2

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• GCD of 422, 559, 42, 918
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1. What is the GCD of 614, 262, 98, 382?

GCD of 614, 262, 98, 382 is 2

2. Where do I get the detailed procedure to find GCD of 614, 262, 98, 382?

You can find a detailed procedure to find GCD of 614, 262, 98, 382 on our page.

3. How to find GCD of 614, 262, 98, 382 on a calculator?

You can find the GCD of 614, 262, 98, 382 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.