GCD of 98, 702, 217, 780 Calculator

Given Input numbers are 98, 702, 217, 780

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 702

List of positive integer divisors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Divisors of 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Greatest Common Divisior

We found the divisors of 98, 702, 217, 780 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 98, 702, 217, 780 is 1.

Therefore, GCD of numbers 98, 702, 217, 780 is 1

Given Input Data is 98, 702, 217, 780

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 702 is 2 x 3 x 3 x 3 x 13

Prime Factorization of 217 is 7 x 31

Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13

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(98, 702) = 34398

GCD(98, 702) = ( 98 x 702 ) / 34398

GCD(98, 702) = 68796 / 34398

GCD(98, 702) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 217

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

LCM(2, 217) = 434

GCD(2, 217) = ( 2 x 217 ) / 434

GCD(2, 217) = 434 / 434

GCD(2, 217) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 780

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

LCM(1, 780) = 780

GCD(1, 780) = ( 1 x 780 ) / 780

GCD(1, 780) = 780 / 780

GCD(1, 780) = 1

GCD of 98, 702, 217, 780 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 11, 860, 764, 391
• GCD of 28, 342, 135, 700
• GCD of 96, 109, 636, 562
• GCD of 59, 261, 112, 433
• GCD of 73, 600, 561, 260

1. What is the GCD of 98, 702, 217, 780?

GCD of 98, 702, 217, 780 is 1

2. Where do I get the detailed procedure to find GCD of 98, 702, 217, 780?

You can find a detailed procedure to find GCD of 98, 702, 217, 780 on our page.

3. How to find GCD of 98, 702, 217, 780 on a calculator?

You can find the GCD of 98, 702, 217, 780 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.