GCD of 940, 107, 398, 258 Calculator

Given Input numbers are 940, 107, 398, 258

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 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 258

List of positive integer divisors of 258 that divides 258 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258

Greatest Common Divisior

We found the divisors of 940, 107, 398, 258 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 940, 107, 398, 258 is 1.

Therefore, GCD of numbers 940, 107, 398, 258 is 1

Given Input Data is 940, 107, 398, 258

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 107 is 107

Prime Factorization of 398 is 2 x 199

Prime Factorization of 258 is 2 x 3 x 43

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, 107) = 100580

GCD(940, 107) = ( 940 x 107 ) / 100580

GCD(940, 107) = 100580 / 100580

GCD(940, 107) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 398

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

LCM(1, 398) = 398

GCD(1, 398) = ( 1 x 398 ) / 398

GCD(1, 398) = 398 / 398

GCD(1, 398) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 258

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

LCM(1, 258) = 258

GCD(1, 258) = ( 1 x 258 ) / 258

GCD(1, 258) = 258 / 258

GCD(1, 258) = 1

GCD of 940, 107, 398, 258 is 1

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• GCD of 447, 369, 196, 368
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• GCD of 802, 319, 856, 155

1. What is the GCD of 940, 107, 398, 258?

GCD of 940, 107, 398, 258 is 1

2. Where do I get the detailed procedure to find GCD of 940, 107, 398, 258?

You can find a detailed procedure to find GCD of 940, 107, 398, 258 on our page.

3. How to find GCD of 940, 107, 398, 258 on a calculator?

You can find the GCD of 940, 107, 398, 258 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.