GCD of 800, 292, 78, 685 Calculator

Given Input numbers are 800, 292, 78, 685

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

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 292

List of positive integer divisors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 685

List of positive integer divisors of 685 that divides 685 without a remainder.

1, 5, 137, 685

Greatest Common Divisior

We found the divisors of 800, 292, 78, 685 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 800, 292, 78, 685 is 1.

Therefore, GCD of numbers 800, 292, 78, 685 is 1

Given Input Data is 800, 292, 78, 685

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

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

Prime Factorization of 292 is 2 x 2 x 73

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 685 is 5 x 137

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(800, 292) = 58400

GCD(800, 292) = ( 800 x 292 ) / 58400

GCD(800, 292) = 233600 / 58400

GCD(800, 292) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 78

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

LCM(4, 78) = 156

GCD(4, 78) = ( 4 x 78 ) / 156

GCD(4, 78) = 312 / 156

GCD(4, 78) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 685

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

LCM(2, 685) = 1370

GCD(2, 685) = ( 2 x 685 ) / 1370

GCD(2, 685) = 1370 / 1370

GCD(2, 685) = 1

GCD of 800, 292, 78, 685 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 164, 909, 36, 108
• GCD of 318, 688, 98, 820
• GCD of 950, 361, 85, 115
• GCD of 711, 555, 59, 519
• GCD of 426, 617, 12, 992

1. What is the GCD of 800, 292, 78, 685?

GCD of 800, 292, 78, 685 is 1

2. Where do I get the detailed procedure to find GCD of 800, 292, 78, 685?

You can find a detailed procedure to find GCD of 800, 292, 78, 685 on our page.

3. How to find GCD of 800, 292, 78, 685 on a calculator?

You can find the GCD of 800, 292, 78, 685 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.