GCD of 940, 355, 95 Calculator

Given Input numbers are 940, 355, 95

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 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Divisors of 95

List of positive integer divisors of 95 that divides 95 without a remainder.

1, 5, 19, 95

Greatest Common Divisior

We found the divisors of 940, 355, 95 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 940, 355, 95 is 5.

Therefore, GCD of numbers 940, 355, 95 is 5

Given Input Data is 940, 355, 95

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 355 is 5 x 71

Prime Factorization of 95 is 5 x 19

Highest common occurrences in the given inputs are 5¹

Multiplying them we get the GCD as 5

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, 355) = 66740

GCD(940, 355) = ( 940 x 355 ) / 66740

GCD(940, 355) = 333700 / 66740

GCD(940, 355) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 95

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

LCM(5, 95) = 95

GCD(5, 95) = ( 5 x 95 ) / 95

GCD(5, 95) = 475 / 95

GCD(5, 95) = 5

GCD of 940, 355, 95 is 5

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1. What is the GCD of 940, 355, 95?

GCD of 940, 355, 95 is 5

2. Where do I get the detailed procedure to find GCD of 940, 355, 95?

You can find a detailed procedure to find GCD of 940, 355, 95 on our page.

3. How to find GCD of 940, 355, 95 on a calculator?

You can find the GCD of 940, 355, 95 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.