GCD of 945, 101, 973 Calculator

Given Input numbers are 945, 101, 973

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

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 101

List of positive integer divisors of 101 that divides 101 without a remainder.

1, 101

Divisors of 973

List of positive integer divisors of 973 that divides 973 without a remainder.

1, 7, 139, 973

Greatest Common Divisior

We found the divisors of 945, 101, 973 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 945, 101, 973 is 1.

Therefore, GCD of numbers 945, 101, 973 is 1

Given Input Data is 945, 101, 973

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

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

Prime Factorization of 101 is 101

Prime Factorization of 973 is 7 x 139

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(945, 101) = 95445

GCD(945, 101) = ( 945 x 101 ) / 95445

GCD(945, 101) = 95445 / 95445

GCD(945, 101) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 973

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

LCM(1, 973) = 973

GCD(1, 973) = ( 1 x 973 ) / 973

GCD(1, 973) = 973 / 973

GCD(1, 973) = 1

GCD of 945, 101, 973 is 1

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1. What is the GCD of 945, 101, 973?

GCD of 945, 101, 973 is 1

2. Where do I get the detailed procedure to find GCD of 945, 101, 973?

You can find a detailed procedure to find GCD of 945, 101, 973 on our page.

3. How to find GCD of 945, 101, 973 on a calculator?

You can find the GCD of 945, 101, 973 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.