GCD of 274, 208, 98 Calculator

Given Input numbers are 274, 208, 98

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

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 98

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

1, 2, 7, 14, 49, 98

Greatest Common Divisior

We found the divisors of 274, 208, 98 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 274, 208, 98 is 2.

Therefore, GCD of numbers 274, 208, 98 is 2

Given Input Data is 274, 208, 98

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

Prime Factorization of 274 is 2 x 137

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

Prime Factorization of 98 is 2 x 7 x 7

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(274, 208) = 28496

GCD(274, 208) = ( 274 x 208 ) / 28496

GCD(274, 208) = 56992 / 28496

GCD(274, 208) = 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

GCD of 274, 208, 98 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 552, 316, 54
• GCD of 667, 146, 25
• GCD of 642, 500, 81
• GCD of 541, 817, 71
• GCD of 298, 148, 26

1. What is the GCD of 274, 208, 98?

GCD of 274, 208, 98 is 2

2. Where do I get the detailed procedure to find GCD of 274, 208, 98?

You can find a detailed procedure to find GCD of 274, 208, 98 on our page.

3. How to find GCD of 274, 208, 98 on a calculator?

You can find the GCD of 274, 208, 98 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.