GCD of 343, 849, 22, 750 Calculator

Given Input numbers are 343, 849, 22, 750

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

Divisors of 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Divisors of 750

List of positive integer divisors of 750 that divides 750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Greatest Common Divisior

We found the divisors of 343, 849, 22, 750 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 343, 849, 22, 750 is 1.

Therefore, GCD of numbers 343, 849, 22, 750 is 1

Given Input Data is 343, 849, 22, 750

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

Prime Factorization of 343 is 7 x 7 x 7

Prime Factorization of 849 is 3 x 283

Prime Factorization of 22 is 2 x 11

Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5

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(343, 849) = 291207

GCD(343, 849) = ( 343 x 849 ) / 291207

GCD(343, 849) = 291207 / 291207

GCD(343, 849) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 22

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

LCM(1, 22) = 22

GCD(1, 22) = ( 1 x 22 ) / 22

GCD(1, 22) = 22 / 22

GCD(1, 22) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 750

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

LCM(1, 750) = 750

GCD(1, 750) = ( 1 x 750 ) / 750

GCD(1, 750) = 750 / 750

GCD(1, 750) = 1

GCD of 343, 849, 22, 750 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 893, 434, 27, 371
• GCD of 936, 325, 70, 462
• GCD of 515, 638, 97, 456
• GCD of 215, 432, 71, 815
• GCD of 433, 503, 88, 769

1. What is the GCD of 343, 849, 22, 750?

GCD of 343, 849, 22, 750 is 1

2. Where do I get the detailed procedure to find GCD of 343, 849, 22, 750?

You can find a detailed procedure to find GCD of 343, 849, 22, 750 on our page.

3. How to find GCD of 343, 849, 22, 750 on a calculator?

You can find the GCD of 343, 849, 22, 750 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.