GCD of 144, 740, 527, 139 Calculator

Given Input numbers are 144, 740, 527, 139

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

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 527

List of positive integer divisors of 527 that divides 527 without a remainder.

1, 17, 31, 527

Divisors of 139

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

1, 139

Greatest Common Divisior

We found the divisors of 144, 740, 527, 139 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 144, 740, 527, 139 is 1.

Therefore, GCD of numbers 144, 740, 527, 139 is 1

Given Input Data is 144, 740, 527, 139

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

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 740 is 2 x 2 x 5 x 37

Prime Factorization of 527 is 17 x 31

Prime Factorization of 139 is 139

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(144, 740) = 26640

GCD(144, 740) = ( 144 x 740 ) / 26640

GCD(144, 740) = 106560 / 26640

GCD(144, 740) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 527

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

LCM(4, 527) = 2108

GCD(4, 527) = ( 4 x 527 ) / 2108

GCD(4, 527) = 2108 / 2108

GCD(4, 527) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 139

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

LCM(1, 139) = 139

GCD(1, 139) = ( 1 x 139 ) / 139

GCD(1, 139) = 139 / 139

GCD(1, 139) = 1

GCD of 144, 740, 527, 139 is 1

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1. What is the GCD of 144, 740, 527, 139?

GCD of 144, 740, 527, 139 is 1

2. Where do I get the detailed procedure to find GCD of 144, 740, 527, 139?

You can find a detailed procedure to find GCD of 144, 740, 527, 139 on our page.

3. How to find GCD of 144, 740, 527, 139 on a calculator?

You can find the GCD of 144, 740, 527, 139 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.