GCD of 954, 359, 21, 997 Calculator

Given Input numbers are 954, 359, 21, 997

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

Divisors of 954

List of positive integer divisors of 954 that divides 954 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Divisors of 359

List of positive integer divisors of 359 that divides 359 without a remainder.

1, 359

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 997

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

1, 997

Greatest Common Divisior

We found the divisors of 954, 359, 21, 997 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 954, 359, 21, 997 is 1.

Therefore, GCD of numbers 954, 359, 21, 997 is 1

Given Input Data is 954, 359, 21, 997

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

Prime Factorization of 954 is 2 x 3 x 3 x 53

Prime Factorization of 359 is 359

Prime Factorization of 21 is 3 x 7

Prime Factorization of 997 is 997

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(954, 359) = 342486

GCD(954, 359) = ( 954 x 359 ) / 342486

GCD(954, 359) = 342486 / 342486

GCD(954, 359) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 997

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

LCM(1, 997) = 997

GCD(1, 997) = ( 1 x 997 ) / 997

GCD(1, 997) = 997 / 997

GCD(1, 997) = 1

GCD of 954, 359, 21, 997 is 1

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1. What is the GCD of 954, 359, 21, 997?

GCD of 954, 359, 21, 997 is 1

2. Where do I get the detailed procedure to find GCD of 954, 359, 21, 997?

You can find a detailed procedure to find GCD of 954, 359, 21, 997 on our page.

3. How to find GCD of 954, 359, 21, 997 on a calculator?

You can find the GCD of 954, 359, 21, 997 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.