GCD of 195, 142, 71, 940 Calculator

Given Input numbers are 195, 142, 71, 940

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

Divisors of 195

List of positive integer divisors of 195 that divides 195 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

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

Greatest Common Divisior

We found the divisors of 195, 142, 71, 940 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 195, 142, 71, 940 is 1.

Therefore, GCD of numbers 195, 142, 71, 940 is 1

Given Input Data is 195, 142, 71, 940

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

Prime Factorization of 195 is 3 x 5 x 13

Prime Factorization of 142 is 2 x 71

Prime Factorization of 71 is 71

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

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(195, 142) = 27690

GCD(195, 142) = ( 195 x 142 ) / 27690

GCD(195, 142) = 27690 / 27690

GCD(195, 142) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 71

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

LCM(1, 71) = 71

GCD(1, 71) = ( 1 x 71 ) / 71

GCD(1, 71) = 71 / 71

GCD(1, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 940

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

LCM(1, 940) = 940

GCD(1, 940) = ( 1 x 940 ) / 940

GCD(1, 940) = 940 / 940

GCD(1, 940) = 1

GCD of 195, 142, 71, 940 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 503, 920, 57, 586
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• GCD of 292, 983, 71, 466
• GCD of 478, 542, 57, 687
• GCD of 451, 583, 74, 402

1. What is the GCD of 195, 142, 71, 940?

GCD of 195, 142, 71, 940 is 1

2. Where do I get the detailed procedure to find GCD of 195, 142, 71, 940?

You can find a detailed procedure to find GCD of 195, 142, 71, 940 on our page.

3. How to find GCD of 195, 142, 71, 940 on a calculator?

You can find the GCD of 195, 142, 71, 940 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.