GCD of 146, 528, 75, 238 Calculator

Given Input numbers are 146, 528, 75, 238

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

Divisors of 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Divisors of 528

List of positive integer divisors of 528 that divides 528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Greatest Common Divisior

We found the divisors of 146, 528, 75, 238 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 146, 528, 75, 238 is 1.

Therefore, GCD of numbers 146, 528, 75, 238 is 1

Given Input Data is 146, 528, 75, 238

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

Prime Factorization of 146 is 2 x 73

Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 238 is 2 x 7 x 17

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(146, 528) = 38544

GCD(146, 528) = ( 146 x 528 ) / 38544

GCD(146, 528) = 77088 / 38544

GCD(146, 528) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 75

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

LCM(2, 75) = 150

GCD(2, 75) = ( 2 x 75 ) / 150

GCD(2, 75) = 150 / 150

GCD(2, 75) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 238

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

LCM(1, 238) = 238

GCD(1, 238) = ( 1 x 238 ) / 238

GCD(1, 238) = 238 / 238

GCD(1, 238) = 1

GCD of 146, 528, 75, 238 is 1

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• GCD of 823, 309, 48, 741
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1. What is the GCD of 146, 528, 75, 238?

GCD of 146, 528, 75, 238 is 1

2. Where do I get the detailed procedure to find GCD of 146, 528, 75, 238?

You can find a detailed procedure to find GCD of 146, 528, 75, 238 on our page.

3. How to find GCD of 146, 528, 75, 238 on a calculator?

You can find the GCD of 146, 528, 75, 238 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.