GCD of 997, 784, 354, 900 Calculator

Given Input numbers are 997, 784, 354, 900

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 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Greatest Common Divisior

We found the divisors of 997, 784, 354, 900 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 997, 784, 354, 900 is 1.

Therefore, GCD of numbers 997, 784, 354, 900 is 1

Given Input Data is 997, 784, 354, 900

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

Prime Factorization of 997 is 997

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 900 is 2 x 2 x 3 x 3 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(997, 784) = 781648

GCD(997, 784) = ( 997 x 784 ) / 781648

GCD(997, 784) = 781648 / 781648

GCD(997, 784) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 354

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

LCM(1, 354) = 354

GCD(1, 354) = ( 1 x 354 ) / 354

GCD(1, 354) = 354 / 354

GCD(1, 354) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 900

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

LCM(1, 900) = 900

GCD(1, 900) = ( 1 x 900 ) / 900

GCD(1, 900) = 900 / 900

GCD(1, 900) = 1

GCD of 997, 784, 354, 900 is 1

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1. What is the GCD of 997, 784, 354, 900?

GCD of 997, 784, 354, 900 is 1

2. Where do I get the detailed procedure to find GCD of 997, 784, 354, 900?

You can find a detailed procedure to find GCD of 997, 784, 354, 900 on our page.

3. How to find GCD of 997, 784, 354, 900 on a calculator?

You can find the GCD of 997, 784, 354, 900 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.