GCD of 694, 296, 940, 465 Calculator

Given Input numbers are 694, 296, 940, 465

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

Divisors of 694

List of positive integer divisors of 694 that divides 694 without a remainder.

1, 2, 347, 694

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

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 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Greatest Common Divisior

We found the divisors of 694, 296, 940, 465 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 694, 296, 940, 465 is 1.

Therefore, GCD of numbers 694, 296, 940, 465 is 1

Given Input Data is 694, 296, 940, 465

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

Prime Factorization of 694 is 2 x 347

Prime Factorization of 296 is 2 x 2 x 2 x 37

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

Prime Factorization of 465 is 3 x 5 x 31

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(694, 296) = 102712

GCD(694, 296) = ( 694 x 296 ) / 102712

GCD(694, 296) = 205424 / 102712

GCD(694, 296) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 940

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

LCM(2, 940) = 940

GCD(2, 940) = ( 2 x 940 ) / 940

GCD(2, 940) = 1880 / 940

GCD(2, 940) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 465

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

LCM(2, 465) = 930

GCD(2, 465) = ( 2 x 465 ) / 930

GCD(2, 465) = 930 / 930

GCD(2, 465) = 1

GCD of 694, 296, 940, 465 is 1

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1. What is the GCD of 694, 296, 940, 465?

GCD of 694, 296, 940, 465 is 1

2. Where do I get the detailed procedure to find GCD of 694, 296, 940, 465?

You can find a detailed procedure to find GCD of 694, 296, 940, 465 on our page.

3. How to find GCD of 694, 296, 940, 465 on a calculator?

You can find the GCD of 694, 296, 940, 465 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.