GCD of 997, 142, 49, 225 Calculator

Given Input numbers are 997, 142, 49, 225

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 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

Greatest Common Divisior

We found the divisors of 997, 142, 49, 225 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 997, 142, 49, 225 is 1.

Therefore, GCD of numbers 997, 142, 49, 225 is 1

Given Input Data is 997, 142, 49, 225

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

Prime Factorization of 997 is 997

Prime Factorization of 142 is 2 x 71

Prime Factorization of 49 is 7 x 7

Prime Factorization of 225 is 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, 142) = 141574

GCD(997, 142) = ( 997 x 142 ) / 141574

GCD(997, 142) = 141574 / 141574

GCD(997, 142) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 49

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

LCM(1, 49) = 49

GCD(1, 49) = ( 1 x 49 ) / 49

GCD(1, 49) = 49 / 49

GCD(1, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 225

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

LCM(1, 225) = 225

GCD(1, 225) = ( 1 x 225 ) / 225

GCD(1, 225) = 225 / 225

GCD(1, 225) = 1

GCD of 997, 142, 49, 225 is 1

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• GCD of 366, 208, 49, 238
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1. What is the GCD of 997, 142, 49, 225?

GCD of 997, 142, 49, 225 is 1

2. Where do I get the detailed procedure to find GCD of 997, 142, 49, 225?

You can find a detailed procedure to find GCD of 997, 142, 49, 225 on our page.

3. How to find GCD of 997, 142, 49, 225 on a calculator?

You can find the GCD of 997, 142, 49, 225 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.