GCD of 98, 142, 260, 634 Calculator

Given Input numbers are 98, 142, 260, 634

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

Divisors of 98

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

1, 2, 7, 14, 49, 98

Divisors of 142

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

1, 2, 71, 142

Divisors of 260

List of positive integer divisors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Divisors of 634

List of positive integer divisors of 634 that divides 634 without a remainder.

1, 2, 317, 634

Greatest Common Divisior

We found the divisors of 98, 142, 260, 634 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 98, 142, 260, 634 is 2.

Therefore, GCD of numbers 98, 142, 260, 634 is 2

Given Input Data is 98, 142, 260, 634

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

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 142 is 2 x 71

Prime Factorization of 260 is 2 x 2 x 5 x 13

Prime Factorization of 634 is 2 x 317

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(98, 142) = 6958

GCD(98, 142) = ( 98 x 142 ) / 6958

GCD(98, 142) = 13916 / 6958

GCD(98, 142) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 260

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

LCM(2, 260) = 260

GCD(2, 260) = ( 2 x 260 ) / 260

GCD(2, 260) = 520 / 260

GCD(2, 260) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 634

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

LCM(2, 634) = 634

GCD(2, 634) = ( 2 x 634 ) / 634

GCD(2, 634) = 1268 / 634

GCD(2, 634) = 2

GCD of 98, 142, 260, 634 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 37, 632, 396, 703
• GCD of 67, 602, 587, 842
• GCD of 56, 709, 645, 631
• GCD of 82, 138, 208, 249
• GCD of 88, 873, 418, 135

1. What is the GCD of 98, 142, 260, 634?

GCD of 98, 142, 260, 634 is 2

2. Where do I get the detailed procedure to find GCD of 98, 142, 260, 634?

You can find a detailed procedure to find GCD of 98, 142, 260, 634 on our page.

3. How to find GCD of 98, 142, 260, 634 on a calculator?

You can find the GCD of 98, 142, 260, 634 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.