GCD of 830, 480, 57, 698 Calculator

Given Input numbers are 830, 480, 57, 698

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

Divisors of 830

List of positive integer divisors of 830 that divides 830 without a remainder.

1, 2, 5, 10, 83, 166, 415, 830

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 698

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

1, 2, 349, 698

Greatest Common Divisior

We found the divisors of 830, 480, 57, 698 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 830, 480, 57, 698 is 1.

Therefore, GCD of numbers 830, 480, 57, 698 is 1

Given Input Data is 830, 480, 57, 698

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

Prime Factorization of 830 is 2 x 5 x 83

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 57 is 3 x 19

Prime Factorization of 698 is 2 x 349

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(830, 480) = 39840

GCD(830, 480) = ( 830 x 480 ) / 39840

GCD(830, 480) = 398400 / 39840

GCD(830, 480) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 57

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

LCM(10, 57) = 570

GCD(10, 57) = ( 10 x 57 ) / 570

GCD(10, 57) = 570 / 570

GCD(10, 57) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 698

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

LCM(1, 698) = 698

GCD(1, 698) = ( 1 x 698 ) / 698

GCD(1, 698) = 698 / 698

GCD(1, 698) = 1

GCD of 830, 480, 57, 698 is 1

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1. What is the GCD of 830, 480, 57, 698?

GCD of 830, 480, 57, 698 is 1

2. Where do I get the detailed procedure to find GCD of 830, 480, 57, 698?

You can find a detailed procedure to find GCD of 830, 480, 57, 698 on our page.

3. How to find GCD of 830, 480, 57, 698 on a calculator?

You can find the GCD of 830, 480, 57, 698 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.