GCD of 938, 224, 42, 147 Calculator

Given Input numbers are 938, 224, 42, 147

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

Divisors of 938

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

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

Divisors of 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

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 147

List of positive integer divisors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

Greatest Common Divisior

We found the divisors of 938, 224, 42, 147 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 938, 224, 42, 147 is 7.

Therefore, GCD of numbers 938, 224, 42, 147 is 7

Given Input Data is 938, 224, 42, 147

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

Prime Factorization of 938 is 2 x 7 x 67

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 147 is 3 x 7 x 7

Highest common occurrences in the given inputs are 7¹

Multiplying them we get the GCD as 7

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(938, 224) = 15008

GCD(938, 224) = ( 938 x 224 ) / 15008

GCD(938, 224) = 210112 / 15008

GCD(938, 224) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 42

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

LCM(14, 42) = 42

GCD(14, 42) = ( 14 x 42 ) / 42

GCD(14, 42) = 588 / 42

GCD(14, 42) = 14

Step3:

Here we consider the GCD from the above i.e. 14 as first number and the next as 147

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

LCM(14, 147) = 294

GCD(14, 147) = ( 14 x 147 ) / 294

GCD(14, 147) = 2058 / 294

GCD(14, 147) = 7

GCD of 938, 224, 42, 147 is 7

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1. What is the GCD of 938, 224, 42, 147?

GCD of 938, 224, 42, 147 is 7

2. Where do I get the detailed procedure to find GCD of 938, 224, 42, 147?

You can find a detailed procedure to find GCD of 938, 224, 42, 147 on our page.

3. How to find GCD of 938, 224, 42, 147 on a calculator?

You can find the GCD of 938, 224, 42, 147 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.