GCD of 940, 642, 194, 963 Calculator

Given Input numbers are 940, 642, 194, 963

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

Divisors of 940

List of positive integer divisors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 194

List of positive integer divisors of 194 that divides 194 without a remainder.

1, 2, 97, 194

Divisors of 963

List of positive integer divisors of 963 that divides 963 without a remainder.

1, 3, 9, 107, 321, 963

Greatest Common Divisior

We found the divisors of 940, 642, 194, 963 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 940, 642, 194, 963 is 1.

Therefore, GCD of numbers 940, 642, 194, 963 is 1

Given Input Data is 940, 642, 194, 963

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

Prime Factorization of 940 is 2 x 2 x 5 x 47

Prime Factorization of 642 is 2 x 3 x 107

Prime Factorization of 194 is 2 x 97

Prime Factorization of 963 is 3 x 3 x 107

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(940, 642) = 301740

GCD(940, 642) = ( 940 x 642 ) / 301740

GCD(940, 642) = 603480 / 301740

GCD(940, 642) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 194

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

LCM(2, 194) = 194

GCD(2, 194) = ( 2 x 194 ) / 194

GCD(2, 194) = 388 / 194

GCD(2, 194) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 963

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

LCM(2, 963) = 1926

GCD(2, 963) = ( 2 x 963 ) / 1926

GCD(2, 963) = 1926 / 1926

GCD(2, 963) = 1

GCD of 940, 642, 194, 963 is 1

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1. What is the GCD of 940, 642, 194, 963?

GCD of 940, 642, 194, 963 is 1

2. Where do I get the detailed procedure to find GCD of 940, 642, 194, 963?

You can find a detailed procedure to find GCD of 940, 642, 194, 963 on our page.

3. How to find GCD of 940, 642, 194, 963 on a calculator?

You can find the GCD of 940, 642, 194, 963 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.