GCD of 141, 438, 65, 945 Calculator

Given Input numbers are 141, 438, 65, 945

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

Divisors of 141

List of positive integer divisors of 141 that divides 141 without a remainder.

1, 3, 47, 141

Divisors of 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 65

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

1, 5, 13, 65

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Greatest Common Divisior

We found the divisors of 141, 438, 65, 945 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 141, 438, 65, 945 is 1.

Therefore, GCD of numbers 141, 438, 65, 945 is 1

Given Input Data is 141, 438, 65, 945

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

Prime Factorization of 141 is 3 x 47

Prime Factorization of 438 is 2 x 3 x 73

Prime Factorization of 65 is 5 x 13

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

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(141, 438) = 20586

GCD(141, 438) = ( 141 x 438 ) / 20586

GCD(141, 438) = 61758 / 20586

GCD(141, 438) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 65

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

LCM(3, 65) = 195

GCD(3, 65) = ( 3 x 65 ) / 195

GCD(3, 65) = 195 / 195

GCD(3, 65) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 945

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

LCM(1, 945) = 945

GCD(1, 945) = ( 1 x 945 ) / 945

GCD(1, 945) = 945 / 945

GCD(1, 945) = 1

GCD of 141, 438, 65, 945 is 1

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1. What is the GCD of 141, 438, 65, 945?

GCD of 141, 438, 65, 945 is 1

2. Where do I get the detailed procedure to find GCD of 141, 438, 65, 945?

You can find a detailed procedure to find GCD of 141, 438, 65, 945 on our page.

3. How to find GCD of 141, 438, 65, 945 on a calculator?

You can find the GCD of 141, 438, 65, 945 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.