GCD of 940, 465, 139, 231 Calculator

Given Input numbers are 940, 465, 139, 231

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 465

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

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

Divisors of 139

List of positive integer divisors of 139 that divides 139 without a remainder.

1, 139

Divisors of 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Greatest Common Divisior

We found the divisors of 940, 465, 139, 231 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 940, 465, 139, 231 is 1.

Therefore, GCD of numbers 940, 465, 139, 231 is 1

Given Input Data is 940, 465, 139, 231

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 465 is 3 x 5 x 31

Prime Factorization of 139 is 139

Prime Factorization of 231 is 3 x 7 x 11

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, 465) = 87420

GCD(940, 465) = ( 940 x 465 ) / 87420

GCD(940, 465) = 437100 / 87420

GCD(940, 465) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 139

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

LCM(5, 139) = 695

GCD(5, 139) = ( 5 x 139 ) / 695

GCD(5, 139) = 695 / 695

GCD(5, 139) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 231

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

LCM(1, 231) = 231

GCD(1, 231) = ( 1 x 231 ) / 231

GCD(1, 231) = 231 / 231

GCD(1, 231) = 1

GCD of 940, 465, 139, 231 is 1

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1. What is the GCD of 940, 465, 139, 231?

GCD of 940, 465, 139, 231 is 1

2. Where do I get the detailed procedure to find GCD of 940, 465, 139, 231?

You can find a detailed procedure to find GCD of 940, 465, 139, 231 on our page.

3. How to find GCD of 940, 465, 139, 231 on a calculator?

You can find the GCD of 940, 465, 139, 231 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.