GCD of 98, 768, 355, 680 Calculator

Given Input numbers are 98, 768, 355, 680

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 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Greatest Common Divisior

We found the divisors of 98, 768, 355, 680 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 98, 768, 355, 680 is 1.

Therefore, GCD of numbers 98, 768, 355, 680 is 1

Given Input Data is 98, 768, 355, 680

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 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 355 is 5 x 71

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

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, 768) = 37632

GCD(98, 768) = ( 98 x 768 ) / 37632

GCD(98, 768) = 75264 / 37632

GCD(98, 768) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 355

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

LCM(2, 355) = 710

GCD(2, 355) = ( 2 x 355 ) / 710

GCD(2, 355) = 710 / 710

GCD(2, 355) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 680

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

LCM(1, 680) = 680

GCD(1, 680) = ( 1 x 680 ) / 680

GCD(1, 680) = 680 / 680

GCD(1, 680) = 1

GCD of 98, 768, 355, 680 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 10, 100, 561, 584
• GCD of 88, 682, 430, 826
• GCD of 11, 700, 884, 815
• GCD of 31, 468, 419, 712
• GCD of 90, 527, 941, 242

1. What is the GCD of 98, 768, 355, 680?

GCD of 98, 768, 355, 680 is 1

2. Where do I get the detailed procedure to find GCD of 98, 768, 355, 680?

You can find a detailed procedure to find GCD of 98, 768, 355, 680 on our page.

3. How to find GCD of 98, 768, 355, 680 on a calculator?

You can find the GCD of 98, 768, 355, 680 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.