GCD of 290, 800, 91, 680 Calculator

Given Input numbers are 290, 800, 91, 680

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

Divisors of 290

List of positive integer divisors of 290 that divides 290 without a remainder.

1, 2, 5, 10, 29, 58, 145, 290

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 91

List of positive integer divisors of 91 that divides 91 without a remainder.

1, 7, 13, 91

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 290, 800, 91, 680 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 290, 800, 91, 680 is 1.

Therefore, GCD of numbers 290, 800, 91, 680 is 1

Given Input Data is 290, 800, 91, 680

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

Prime Factorization of 290 is 2 x 5 x 29

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 91 is 7 x 13

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(290, 800) = 23200

GCD(290, 800) = ( 290 x 800 ) / 23200

GCD(290, 800) = 232000 / 23200

GCD(290, 800) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 91

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

LCM(10, 91) = 910

GCD(10, 91) = ( 10 x 91 ) / 910

GCD(10, 91) = 910 / 910

GCD(10, 91) = 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 290, 800, 91, 680 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 239, 662, 27, 422
• GCD of 111, 292, 55, 770
• GCD of 423, 147, 59, 720
• GCD of 163, 767, 37, 671
• GCD of 662, 674, 15, 482

1. What is the GCD of 290, 800, 91, 680?

GCD of 290, 800, 91, 680 is 1

2. Where do I get the detailed procedure to find GCD of 290, 800, 91, 680?

You can find a detailed procedure to find GCD of 290, 800, 91, 680 on our page.

3. How to find GCD of 290, 800, 91, 680 on a calculator?

You can find the GCD of 290, 800, 91, 680 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.