GCD of 997, 838, 704, 480 Calculator

Given Input numbers are 997, 838, 704, 480

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

Divisors of 997

List of positive integer divisors of 997 that divides 997 without a remainder.

1, 997

Divisors of 838

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

1, 2, 419, 838

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

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

Greatest Common Divisior

We found the divisors of 997, 838, 704, 480 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 997, 838, 704, 480 is 1.

Therefore, GCD of numbers 997, 838, 704, 480 is 1

Given Input Data is 997, 838, 704, 480

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

Prime Factorization of 997 is 997

Prime Factorization of 838 is 2 x 419

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 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(997, 838) = 835486

GCD(997, 838) = ( 997 x 838 ) / 835486

GCD(997, 838) = 835486 / 835486

GCD(997, 838) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 704

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

LCM(1, 704) = 704

GCD(1, 704) = ( 1 x 704 ) / 704

GCD(1, 704) = 704 / 704

GCD(1, 704) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 480

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

LCM(1, 480) = 480

GCD(1, 480) = ( 1 x 480 ) / 480

GCD(1, 480) = 480 / 480

GCD(1, 480) = 1

GCD of 997, 838, 704, 480 is 1

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1. What is the GCD of 997, 838, 704, 480?

GCD of 997, 838, 704, 480 is 1

2. Where do I get the detailed procedure to find GCD of 997, 838, 704, 480?

You can find a detailed procedure to find GCD of 997, 838, 704, 480 on our page.

3. How to find GCD of 997, 838, 704, 480 on a calculator?

You can find the GCD of 997, 838, 704, 480 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.