GCD of 523, 141, 735, 270 Calculator

Given Input numbers are 523, 141, 735, 270

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

Divisors of 523

List of positive integer divisors of 523 that divides 523 without a remainder.

1, 523

Divisors of 141

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

1, 3, 47, 141

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Greatest Common Divisior

We found the divisors of 523, 141, 735, 270 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 523, 141, 735, 270 is 1.

Therefore, GCD of numbers 523, 141, 735, 270 is 1

Given Input Data is 523, 141, 735, 270

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

Prime Factorization of 523 is 523

Prime Factorization of 141 is 3 x 47

Prime Factorization of 735 is 3 x 5 x 7 x 7

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

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(523, 141) = 73743

GCD(523, 141) = ( 523 x 141 ) / 73743

GCD(523, 141) = 73743 / 73743

GCD(523, 141) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 735

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

LCM(1, 735) = 735

GCD(1, 735) = ( 1 x 735 ) / 735

GCD(1, 735) = 735 / 735

GCD(1, 735) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 270

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

LCM(1, 270) = 270

GCD(1, 270) = ( 1 x 270 ) / 270

GCD(1, 270) = 270 / 270

GCD(1, 270) = 1

GCD of 523, 141, 735, 270 is 1

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1. What is the GCD of 523, 141, 735, 270?

GCD of 523, 141, 735, 270 is 1

2. Where do I get the detailed procedure to find GCD of 523, 141, 735, 270?

You can find a detailed procedure to find GCD of 523, 141, 735, 270 on our page.

3. How to find GCD of 523, 141, 735, 270 on a calculator?

You can find the GCD of 523, 141, 735, 270 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.