GCD of 141, 135, 30, 745 Calculator

Given Input numbers are 141, 135, 30, 745

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 135

List of positive integer divisors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Greatest Common Divisior

We found the divisors of 141, 135, 30, 745 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 141, 135, 30, 745 is 1.

Therefore, GCD of numbers 141, 135, 30, 745 is 1

Given Input Data is 141, 135, 30, 745

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

Prime Factorization of 141 is 3 x 47

Prime Factorization of 135 is 3 x 3 x 3 x 5

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 745 is 5 x 149

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, 135) = 6345

GCD(141, 135) = ( 141 x 135 ) / 6345

GCD(141, 135) = 19035 / 6345

GCD(141, 135) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 30

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

LCM(3, 30) = 30

GCD(3, 30) = ( 3 x 30 ) / 30

GCD(3, 30) = 90 / 30

GCD(3, 30) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 745

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

LCM(3, 745) = 2235

GCD(3, 745) = ( 3 x 745 ) / 2235

GCD(3, 745) = 2235 / 2235

GCD(3, 745) = 1

GCD of 141, 135, 30, 745 is 1

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• GCD of 363, 712, 78, 584
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• GCD of 469, 225, 20, 823

1. What is the GCD of 141, 135, 30, 745?

GCD of 141, 135, 30, 745 is 1

2. Where do I get the detailed procedure to find GCD of 141, 135, 30, 745?

You can find a detailed procedure to find GCD of 141, 135, 30, 745 on our page.

3. How to find GCD of 141, 135, 30, 745 on a calculator?

You can find the GCD of 141, 135, 30, 745 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.