GCD of 722, 970, 805, 838 Calculator

Given Input numbers are 722, 970, 805, 838

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

Divisors of 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Divisors of 970

List of positive integer divisors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

Divisors of 805

List of positive integer divisors of 805 that divides 805 without a remainder.

1, 5, 7, 23, 35, 115, 161, 805

Divisors of 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Greatest Common Divisior

We found the divisors of 722, 970, 805, 838 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 722, 970, 805, 838 is 1.

Therefore, GCD of numbers 722, 970, 805, 838 is 1

Given Input Data is 722, 970, 805, 838

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

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 970 is 2 x 5 x 97

Prime Factorization of 805 is 5 x 7 x 23

Prime Factorization of 838 is 2 x 419

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(722, 970) = 350170

GCD(722, 970) = ( 722 x 970 ) / 350170

GCD(722, 970) = 700340 / 350170

GCD(722, 970) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 805

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

LCM(2, 805) = 1610

GCD(2, 805) = ( 2 x 805 ) / 1610

GCD(2, 805) = 1610 / 1610

GCD(2, 805) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 838

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

LCM(1, 838) = 838

GCD(1, 838) = ( 1 x 838 ) / 838

GCD(1, 838) = 838 / 838

GCD(1, 838) = 1

GCD of 722, 970, 805, 838 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 301, 701, 580, 506
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• GCD of 382, 100, 684, 655
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• GCD of 242, 127, 207, 657

1. What is the GCD of 722, 970, 805, 838?

GCD of 722, 970, 805, 838 is 1

2. Where do I get the detailed procedure to find GCD of 722, 970, 805, 838?

You can find a detailed procedure to find GCD of 722, 970, 805, 838 on our page.

3. How to find GCD of 722, 970, 805, 838 on a calculator?

You can find the GCD of 722, 970, 805, 838 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.