GCD of 238, 532, 536, 660 Calculator

Given Input numbers are 238, 532, 536, 660

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

Divisors of 238

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

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

Divisors of 532

List of positive integer divisors of 532 that divides 532 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Divisors of 536

List of positive integer divisors of 536 that divides 536 without a remainder.

1, 2, 4, 8, 67, 134, 268, 536

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Greatest Common Divisior

We found the divisors of 238, 532, 536, 660 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 238, 532, 536, 660 is 2.

Therefore, GCD of numbers 238, 532, 536, 660 is 2

Given Input Data is 238, 532, 536, 660

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

Prime Factorization of 238 is 2 x 7 x 17

Prime Factorization of 532 is 2 x 2 x 7 x 19

Prime Factorization of 536 is 2 x 2 x 2 x 67

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(238, 532) = 9044

GCD(238, 532) = ( 238 x 532 ) / 9044

GCD(238, 532) = 126616 / 9044

GCD(238, 532) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 536

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

LCM(14, 536) = 3752

GCD(14, 536) = ( 14 x 536 ) / 3752

GCD(14, 536) = 7504 / 3752

GCD(14, 536) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 660

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

LCM(2, 660) = 660

GCD(2, 660) = ( 2 x 660 ) / 660

GCD(2, 660) = 1320 / 660

GCD(2, 660) = 2

GCD of 238, 532, 536, 660 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 198, 915, 156, 530
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• GCD of 514, 788, 371, 384

1. What is the GCD of 238, 532, 536, 660?

GCD of 238, 532, 536, 660 is 2

2. Where do I get the detailed procedure to find GCD of 238, 532, 536, 660?

You can find a detailed procedure to find GCD of 238, 532, 536, 660 on our page.

3. How to find GCD of 238, 532, 536, 660 on a calculator?

You can find the GCD of 238, 532, 536, 660 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.