GCD of 732, 218, 42, 938 Calculator

Given Input numbers are 732, 218, 42, 938

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

Divisors of 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Greatest Common Divisior

We found the divisors of 732, 218, 42, 938 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 732, 218, 42, 938 is 2.

Therefore, GCD of numbers 732, 218, 42, 938 is 2

Given Input Data is 732, 218, 42, 938

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

Prime Factorization of 732 is 2 x 2 x 3 x 61

Prime Factorization of 218 is 2 x 109

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 938 is 2 x 7 x 67

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(732, 218) = 79788

GCD(732, 218) = ( 732 x 218 ) / 79788

GCD(732, 218) = 159576 / 79788

GCD(732, 218) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 42

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

LCM(2, 42) = 42

GCD(2, 42) = ( 2 x 42 ) / 42

GCD(2, 42) = 84 / 42

GCD(2, 42) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 938

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

LCM(2, 938) = 938

GCD(2, 938) = ( 2 x 938 ) / 938

GCD(2, 938) = 1876 / 938

GCD(2, 938) = 2

GCD of 732, 218, 42, 938 is 2

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• GCD of 867, 638, 74, 334
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• GCD of 283, 187, 55, 252

1. What is the GCD of 732, 218, 42, 938?

GCD of 732, 218, 42, 938 is 2

2. Where do I get the detailed procedure to find GCD of 732, 218, 42, 938?

You can find a detailed procedure to find GCD of 732, 218, 42, 938 on our page.

3. How to find GCD of 732, 218, 42, 938 on a calculator?

You can find the GCD of 732, 218, 42, 938 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.