GCD of 800, 968, 91, 242 Calculator

Given Input numbers are 800, 968, 91, 242

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 968

List of positive integer divisors of 968 that divides 968 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Divisors of 91

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

1, 7, 13, 91

Divisors of 242

List of positive integer divisors of 242 that divides 242 without a remainder.

1, 2, 11, 22, 121, 242

Greatest Common Divisior

We found the divisors of 800, 968, 91, 242 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 800, 968, 91, 242 is 1.

Therefore, GCD of numbers 800, 968, 91, 242 is 1

Given Input Data is 800, 968, 91, 242

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 968 is 2 x 2 x 2 x 11 x 11

Prime Factorization of 91 is 7 x 13

Prime Factorization of 242 is 2 x 11 x 11

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, 968) = 96800

GCD(800, 968) = ( 800 x 968 ) / 96800

GCD(800, 968) = 774400 / 96800

GCD(800, 968) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 91

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

LCM(8, 91) = 728

GCD(8, 91) = ( 8 x 91 ) / 728

GCD(8, 91) = 728 / 728

GCD(8, 91) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 242

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

LCM(1, 242) = 242

GCD(1, 242) = ( 1 x 242 ) / 242

GCD(1, 242) = 242 / 242

GCD(1, 242) = 1

GCD of 800, 968, 91, 242 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 864, 125, 53, 288
• GCD of 361, 299, 67, 242
• GCD of 625, 802, 25, 618
• GCD of 714, 669, 44, 572
• GCD of 109, 770, 81, 843

1. What is the GCD of 800, 968, 91, 242?

GCD of 800, 968, 91, 242 is 1

2. Where do I get the detailed procedure to find GCD of 800, 968, 91, 242?

You can find a detailed procedure to find GCD of 800, 968, 91, 242 on our page.

3. How to find GCD of 800, 968, 91, 242 on a calculator?

You can find the GCD of 800, 968, 91, 242 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.