GCD of 65, 425, 940, 345 Calculator

Given Input numbers are 65, 425, 940, 345

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

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 425

List of positive integer divisors of 425 that divides 425 without a remainder.

1, 5, 17, 25, 85, 425

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 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Greatest Common Divisior

We found the divisors of 65, 425, 940, 345 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 65, 425, 940, 345 is 5.

Therefore, GCD of numbers 65, 425, 940, 345 is 5

Given Input Data is 65, 425, 940, 345

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

Prime Factorization of 65 is 5 x 13

Prime Factorization of 425 is 5 x 5 x 17

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

Prime Factorization of 345 is 3 x 5 x 23

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(65, 425) = 5525

GCD(65, 425) = ( 65 x 425 ) / 5525

GCD(65, 425) = 27625 / 5525

GCD(65, 425) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 940

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

LCM(5, 940) = 940

GCD(5, 940) = ( 5 x 940 ) / 940

GCD(5, 940) = 4700 / 940

GCD(5, 940) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 345

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

LCM(5, 345) = 345

GCD(5, 345) = ( 5 x 345 ) / 345

GCD(5, 345) = 1725 / 345

GCD(5, 345) = 5

GCD of 65, 425, 940, 345 is 5

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1. What is the GCD of 65, 425, 940, 345?

GCD of 65, 425, 940, 345 is 5

2. Where do I get the detailed procedure to find GCD of 65, 425, 940, 345?

You can find a detailed procedure to find GCD of 65, 425, 940, 345 on our page.

3. How to find GCD of 65, 425, 940, 345 on a calculator?

You can find the GCD of 65, 425, 940, 345 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.