GCD of 698, 831, 76, 722 Calculator

Given Input numbers are 698, 831, 76, 722

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

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Divisors of 831

List of positive integer divisors of 831 that divides 831 without a remainder.

1, 3, 277, 831

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 722

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

1, 2, 19, 38, 361, 722

Greatest Common Divisior

We found the divisors of 698, 831, 76, 722 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 698, 831, 76, 722 is 1.

Therefore, GCD of numbers 698, 831, 76, 722 is 1

Given Input Data is 698, 831, 76, 722

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

Prime Factorization of 698 is 2 x 349

Prime Factorization of 831 is 3 x 277

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 722 is 2 x 19 x 19

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(698, 831) = 580038

GCD(698, 831) = ( 698 x 831 ) / 580038

GCD(698, 831) = 580038 / 580038

GCD(698, 831) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 76

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

LCM(1, 76) = 76

GCD(1, 76) = ( 1 x 76 ) / 76

GCD(1, 76) = 76 / 76

GCD(1, 76) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 722

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

LCM(1, 722) = 722

GCD(1, 722) = ( 1 x 722 ) / 722

GCD(1, 722) = 722 / 722

GCD(1, 722) = 1

GCD of 698, 831, 76, 722 is 1

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1. What is the GCD of 698, 831, 76, 722?

GCD of 698, 831, 76, 722 is 1

2. Where do I get the detailed procedure to find GCD of 698, 831, 76, 722?

You can find a detailed procedure to find GCD of 698, 831, 76, 722 on our page.

3. How to find GCD of 698, 831, 76, 722 on a calculator?

You can find the GCD of 698, 831, 76, 722 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.